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Deb Cotton Secondline Collection
by BigRedCotton
movies

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Source: https://www.youtube.com/watch?v=cKFujAfve4Q Uploader: BigRedCotton Upload date: 20120520
Topics: Youtube, video, Entertainment, clip, 2012, 05, 20, 12, 29, 37, debcotton,...
Deb Cotton Secondline Collection
by BigRedCotton
movies

eye 12

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Source: https://www.youtube.com/watch?v=8BlIJuLQORw Uploader: BigRedCotton Upload date: 20120412
Topics: Youtube, video, Music, clip, 2012, 01, 22, 12, 46, 32, debcotton, debcottonsecondlinecollection,...
Deb Cotton Secondline Collection
by BigRedCotton
movies

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Source: https://www.youtube.com/watch?v=MOvtC0I_pQ8 Uploader: BigRedCotton Upload date: 20120411
Topics: Youtube, video, Music, clip, 2012, 01, 22, 11, 27, 06, debcotton, debcottonsecondlinecollection,...
Source: https://www.youtube.com/watch?v=XtdGZHzz-mg Uploader: BigRedCotton Upload date: 20120929
Topics: Youtube, video, Music, Tornado Brass Band, Second line, brass band, parade, New Orleans, jazz,...
Deb Cotton Secondline Collection
by BigRedCotton
movies

eye 26

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Stooges playing 'AP Tureaud' Source: https://www.youtube.com/watch?v=i5QwrqZqCCU Uploader: BigRedCotton Upload date: 20120413
Topics: Youtube, video, Entertainment, Pigeon Town, Pension Town, New Orleans, Second Line parade, Stooges...
Deb Cotton Secondline Collection
by BigRedCotton
movies

eye 7

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Source: https://www.youtube.com/watch?v=JDxNu8RO7v4 Uploader: BigRedCotton Upload date: 20120924
Topics: Youtube, video, Entertainment, clip, 2012, 09, 23, 12, 27, 59, debcotton,...
Deb Cotton Secondline Collection
movies

eye 27

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performing 'Tuba Fats' Source: https://www.youtube.com/watch?v=vjBr9DAyU5s Uploader: BigRedCotton Upload date: 20120929
Topics: Youtube, video, Music, Tornado Brass Band, YMO Jr. Benevolent Association, Second line, brass band,...
Forest Health Protection tech meeting. Region 6 Regional Office. Portland, Oregon. Photo by: Julie Johnson Date: November 7, 2012 Credit: USDA Forest Service, Region 6, State and Private Forestry, Forest Health Protection. Source: Aerial Survey Program collection. Image provided by USDA Forest Service, Region 6, State and Private Forestry, Forest Health Protection: www.fs.usda.gov/main/r6/forest-grasslandhealth
Topics: hollykearns, aleksandardozic, foresthealthprotection, kristenchadwick, usda, brucehostetler,...
Ips galleries on western white pine. Photo by: Ellen Michaels Goheen or Donald J. Goheen Date: c.2012 Credit: USDA Forest Service, Region 6, State and Private Forestry, Forest Health Protection, Southwest Oregon Forest Insect and Disease Service Center Source: Goheen, E.M. and Goheen, D.J., 2014. Status of sugar and western white pines on federal forest lands in southwest Oregon: Inventory query and natural stand survey results. Pacific Northwest Region. SWOFIDSC-14-01....
Topics: r6, usda, stateandprivateforestry, treedamage, foresthealth, donaldjgoheen, region6, forestdamage,...
Deb Cotton Secondline Collection
movies

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Source: https://www.youtube.com/watch?v=A_XdsSQuDbE Uploader: BigRedCotton Upload date: 20121125
Topics: Youtube, video, Music, Soulja Slim, Second line, brass band, parade, New Orleans, jazz, brass...
Internet Archive Presents
by Internet Archive
movies

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Internet Archive meeting to consider TV news research service experiment May 25, 2012 Internet Archive, 300 Funston Ave. San Francisco, CA 94118 Schedule 8:00 a.m. continental breakfast 9:00 a.m. welcoming remarks and tour of Internet Archive 10:00 a.m. participant 5-minute presentations of compelling uses cases 12:30 p.m. lunch 1:30 p.m. remaining presentations consideration of value propositions and compelling use cases 2:30 p.m. topic-specific break-out groups discussions 3:30 p.m....
Topics: television news, newscast, research, Internet Archive, Brewster Kahle, Roger Macdonald, Alexis...
Deb Cotton Secondline Collection
movies

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Coming out Charbonnet's Funeral Home in the 6th Ward - Treme Source: https://www.youtube.com/watch?v=MPA_YUWWb14 Uploader: BigRedCotton Upload date: 20120528
Topics: Youtube, video, Entertainment, New Orleans, Second Line parade, Treme, TBC Brass Band, To Be...
Deb Cotton Secondline Collection
movies

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On Jan. 5, 2012, members of the New Orleans City Council and Mardi Gras Indian tribes, community members, supporters, friends, and family gathered in the City Council chambers to pay tribute to the legacy of Allison Marcel Montana, "Big Chief Tootie" "Chief of Chiefs, and Chief of the Yellow Pocahontas Mardi Gras Indian Tribe. Allison Montana, a master artisan, dedicated more than 53 years to the indigenous cultural tradition of "Masking Indian". The first day of Mardi...
Topics: Youtube, video, News & Politics, Mardi Gras Indian, New Orleans, New Orleans City Council,...
Deb Cotton Secondline Collection
movies

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Source: https://www.youtube.com/watch?v=ynWPIKMuk-8 Uploader: BigRedCotton Upload date: 20121107
Topics: Youtube, video, Music, To Be Continued Brass Band, TBC Brass Band, EDWARD JUICY JACKSON, JOE MAIZE,...
Deb Cotton Secondline Collection
by BigRedCotton
movies

eye 17

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Source: https://www.youtube.com/watch?v=pzHNpyGJpyA Uploader: BigRedCotton Upload date: 20120411
Topics: Youtube, video, Music, clip, 2012, 01, 22, 11, 27, 05, debcotton, debcottonsecondlinecollection,...
Deb Cotton Secondline Collection
by BigRedCotton
movies

eye 21

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Source: https://www.youtube.com/watch?v=3IuYfh2fiqE Uploader: BigRedCotton Upload date: 20120424
Topics: Youtube, video, Entertainment, clip, 2012, 04, 22, 15, 26, 17, debcotton,...
Occupy Wall Street Flickr Archive
by Lily Rothrock
image

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Topics: owswest, occupy, occupy wall street, j20, ows, occupysf, protest, san francisco
Source: http://www.flickr.com/photos/lilyrhoads/6734905051/
Arxiv.org
by Simon C. Davenport; Steven H. Simon
texts

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In this paper we study fractional quantum Hall composite fermion wavefunctions at filling fractions \nu = 2/3, 3/5, and 4/7. At each of these filling fractions, there are several possible wavefunctions with different spin polarizations, depending on how many spin-up or spin-down composite fermion Landau levels are occupied. We calculate the energy of the possible composite fermion wavefunctions and we predict transitions between ground states of different spin polarizations as the ratio of...
Source: http://arxiv.org/abs/1203.0004v3
Arxiv.org
by A. V. Kuznetsov; N. V. Mikheev; A. V. Serghienko
texts

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The low-energy manifestations of a minimal extension of the electroweak standard model based on the quark-lepton symmetry $SU(4)_V \otimes SU(2)_L \otimes G_R$ of the Pati--Salam type are analyzed. Given this symmetry the third type of mixing in the interactions of the $SU(4)_V$ leptoquarks with quarks and leptons is shown to be required. An additional arbitrariness of the mixing parameters could allow, in principle, to decrease noticeably the lower bound on the vector leptoquark mass...
Source: http://arxiv.org/abs/1203.0196v2
Arxiv.org
by D0 Collaboration
texts

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We present a measurement of the W boson mass using data corresponding to 4.3fb^-1 of integrated luminosity collected with the D0 detector during Run II at the Fermilab Tevatron p\bar{p} collider. With a sample of 1,677,394 W -> e\nu candidate events, we measure M_W = 80.367 +/- 0.026 GeV. This result is combined with an earlier D0 result determined using an independent Run II data sample, corresponding to 1fb^-1 of integrated luminosity, to yield M_W = 80.375 +/- 0.023 GeV.
Source: http://arxiv.org/abs/1203.0293v2
Arxiv.org
by Patricia Gonçalves
texts

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We consider the one-dimensional asymmetric zero-range process starting from a step decreasing profile. In the hydrodynamic limit this initial condition leads to the rarefaction fan of the associated hydrodynamic equation. Under this initial condition and for totally asymmetric jumps, we show that the weighted sum of joint probabilities for second class particles sharing the same site is convergent and we compute its limit. For partially asymmetric jumps we derive the Law of Large Numbers for...
Source: http://arxiv.org/abs/1203.0287v1
Arxiv.org
by Ardavan Oskooi; Pedro A. Favuzzi; Yoshinori Tanaka; Hiroaki Shigeta; Yoichi Kawakami; Susumu Noda
texts

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We present a general framework for the design of thin-film photovoltaics based on a partially-disordered photonic crystal that has both enhanced absorption for light trapping and reduced sensitivity to the angle and polarization of incident radiation. The absorption characteristics of different lattice structures are investigated as an initial periodic structure is gradually perturbed. We find that an optimal amount of disorder controllably introduced into a multi-lattice photonic crystal...
Source: http://arxiv.org/abs/1203.0363v1
Arxiv.org
by Charles Delorme; Guillermo Pineda-Villavicencio
texts

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In 1855 H. J. S. Smith proved Fermat's Two Squares using the notion of palindromic continuants. In this paper we extend Smith's approach to proper quadratic form representations in some commutative Euclidean rings, including rings of integers and rings of polynomials over fields of characteristic different from 2. While our results are natural extensions of Smith's approach and are unlikely to be new, we believe our presentation is new.
Source: http://arxiv.org/abs/1203.0347v1
Arxiv.org
by E. Caffau; P. Bonifacio; P. François; M. Spite; F. Spite; S. Zaggia; H. -G. Ludwig; M. Steffen; L. Mashonkina; L. Monaco; L. Sbordone; P. Molaro; R. Cayrel; B. Plez; V. Hill; F. Hammer; S. Randich
texts

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Context: The discovery and chemical analysis of extremely metal-poor stars permit a better understanding of the star formation of the first generation of stars and of the Universe emerging from the Big Bang. aims: We report the study of a primordial star situated in the centre of the constellation Leo (SDSS J102915+172027). method: The star, selected from the low resolution-spectrum of the Sloan Digital Sky Survey, was observed at intermediate (with X-Shooter at VLT) and at high spectral...
Source: http://arxiv.org/abs/1203.2607v1
Arxiv.org
texts

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Let G be a complete Kac-Moody group of rank n \geq 2 over the finite field of order q, with Weyl group W and building \Delta. We first show that if W is right-angled, then for all q \neq 1 mod 4 the group G admits a cocompact lattice \Gamma which acts transitively on the chambers of \Delta. We also obtain a cocompact lattice for q =1 mod 4 in the case that \Delta is Bourdon's building. As a corollary of our constructions, for certain right-angled W and certain q, the lattice \Gamma has a...
Source: http://arxiv.org/abs/1203.2680v2
Arxiv.org
texts

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We demonstrate that the fundamental algebraic structure underlying the Connes-Kreimer Hopf algebra -- the insertion pre-Lie structure on graphs -- corresponds directly to the canonical pre-Lie structure of polynomial vector fields. Using this fact, we construct a Hopf algebra built from tensors that is isomorphic to a version of the Connes-Kreimer Hopf algebra that first appeared in the perturbative renormalization of quantum field theories.
Source: http://arxiv.org/abs/1203.2686v1
Arxiv.org
by Alejandro Cabo Montes de Oca
texts

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A self-consistent formulation is proposed to generalize the HF scheme with the incorporation of screening effects. For this purpose in a first step, an energy functional is defined by the mean value for the full Hamiltonian, not in a Slater determinant state, but in the result of the adiabatic connection of Coulomb plus the nuclear (jellium charge) in the Slater determinant. Afterwards, the energy functional defining the screening approximation is defined in a diagrammatic way, by imposing a...
Source: http://arxiv.org/abs/1203.2689v1
Arxiv.org
texts

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We consider two celebrated criteria for defining the non-classicality of bipartite bosonic quantum systems, the first stemming from information theoretic concepts and the second from physical constraints on the quantum phase-space. Consequently, two sets of allegedly classical states are singled out: i) the set C composed of the so called classical-classical (CC) states---separable states that are locally distinguishable and do not possess quantum discord; ii) the set P of states endowed with a...
Source: http://arxiv.org/abs/1203.2661v2
Arxiv.org
by Gabriele Nebe
texts

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Let $\vartheta := \frac{-1+\sqrt{5}}{2}$ be the golden ratio. A golden lattice is an even unimodular $\Z[\vartheta ]$-lattice of which the Hilbert theta series is an extremal Hilbert modular form. We construct golden lattices from extremal even unimodular lattices and obtain families of dense modular lattices.
Source: http://arxiv.org/abs/1203.2755v1
Arxiv.org
texts

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In this paper we prove that a properly embedded constant mean curvature surface in H^2*R which has finite topology and stays at a finite distance from a vertical geodesic line is invariant by rotation around a vertical geodesic line.
Source: http://arxiv.org/abs/1203.2746v2
Arxiv.org
by Martin R. Hediger; Luca De Vico; Allan Svendsen; Werner Besenmatter; Jan H. Jensen
texts

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We present a fast computational method to efficiently screen enzyme activity. In the presented method, the effect of mutations on the barrier height of an enzyme-catalysed reaction can be computed within 24 hours on roughly 10 processors. The methodology is based on the PM6 and MOZYME methods as implemented in MOPAC2009, and is tested on the first step of the amide hydrolysis reaction catalyzed by Candida Antarctica lipase B (CalB) enzyme. The barrier heights are estimated using adiabatic...
Source: http://arxiv.org/abs/1203.2950v3
Arxiv.org
by Marin Bertier; Marko Obrovac; Cédric Tedeschi
texts

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With the rise of service-oriented computing, applications are more and more based on coordination of autonomous services. Envisioned over largely distributed and highly dynamic platforms, expressing this coordination calls for alternative programming models. The chemical programming paradigm, which models applications as chemical solutions where molecules representing digital entities involved in the computation, react together to produce a result, has been recently shown to provide the needed...
Source: http://arxiv.org/abs/1203.3013v1
Arxiv.org
by M. Crampin; T. Mestdag; D. J. Saunders
texts

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This paper is concerned with the problem of determining whether a projective-equivalence class of sprays is the geodesic class of a Finsler function. We address both the local and the global aspects of this problem. We present our results entirely in terms of a multiplier, that is, a type (0,2) tensor field along the tangent bundle projection. In the course of the analysis we consider several related issues of interest including the positivity and strong convexity of positively-homogeneous...
Source: http://arxiv.org/abs/1203.3142v1
Arxiv.org
by J. M. Almira; Kh. F. Abu-Helaiel
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We study discontinuous solutions of the monomial equation $\frac{1}{n!}\Delta_h^nf(x)=f(h)$. In particular, we characterize the closure of their graph, $\bar{G(f)}^{\mathbb{R}^2}$, and we use the properties of these functions to present a new proof of the Darboux type theorem for polynomials and of Hamel's theorem for additive functions.
Source: http://arxiv.org/abs/1203.3222v1
Arxiv.org
by W. D. Rice; J. Kono; S. Zybell; S. Winnerl; J. Bhattacharyya; H. Schneider; M. Helm; B. Ewers; A. Chernikov; M. Koch; S. Chatterjee; G. Khitrova; H. M. Gibbs; L. Schneebeli; B. Breddermann; M. Kira; S. W. Koch
texts

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We use terahertz pulses to induce resonant transitions between the eigenstates of optically generated exciton populations in a high-quality semiconductor quantum-well sample. Monitoring the excitonic photoluminescence, we observe transient quenching of the $1s$ exciton emission, which we attribute to the terahertz-induced $1s$-to-$2p$ excitation. Simultaneously, a pronounced enhancement of the $2s$-exciton emission is observed, despite the $1s$-to-$2s$ transition being dipole forbidden. A...
Source: http://arxiv.org/abs/1203.3994v2
Arxiv.org
by Petteri Kaski; Mikko Koivisto; Jesper Nederlof
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We study classes of Dynamic Programming (DP) algorithms which, due to their algebraic definitions, are closely related to coefficient extraction methods. DP algorithms can easily be modified to exploit sparseness in the DP table through memorization. Coefficient extraction techniques on the other hand are both space-efficient and parallelisable, but no tools have been available to exploit sparseness. We investigate the systematic use of homomorphic hash functions to combine the best of these...
Source: http://arxiv.org/abs/1203.4063v1
Arxiv.org
by M. Przanowski; M. Skulimowski; J. Tosiek
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Using the orthodox Weyl -- Wigner -- Stratonovich -- Cohen (WWSC) quantization rule we construct a time -- of -- arrival operator for a free particle on the circle. It is shown that this operator is self -- adjoint but the careful analysis of its properties suggests that it cannot represent a `physical' time -- of -- arrival observable. The problem of a time -- of -- arrival observable for the `waiting screen' is also considered. A method of avoiding the quantum Zeno effect is proposed and the...
Source: http://arxiv.org/abs/1203.4146v1
Arxiv.org
by Iosif Bena; Monica Guica; Wei Song
texts

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We show that the six-dimensional uplift of the five-dimensional Near-Horizon-Extremal-Kerr (NHEK) spacetime can be obtained from an AdS_3 X S^3 solution by a sequence of supergravity - but not string theory - dualities. We present three ways of viewing these pseudo-dualities: as a series of transformations in the STU model, as a combination of Melvin twists and T-dualities and, finally, as a sequence of two generalized spectral flows and a coordinate transformation. We then use these to find an...
Source: http://arxiv.org/abs/1203.4227v1
Arxiv.org
by Ilmar Gahramanov; Tigran Kalaydzhyan; Ingo Kirsch
texts

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We discuss a possible dependence of the chiral magnetic effect (CME) on the elliptic flow coefficient v2. We first study this in a hydrodynamic model for a static anisotropic plasma with multiple anomalous U(1) currents. In the case of two charges, one axial and one vector, the CME formally appears as a first-order transport coefficient in the vector current. We compute this transport coefficient and show its dependence on v2. We also determine the CME-coefficient from first-order corrections...
Source: http://arxiv.org/abs/1203.4259v2
Arxiv.org
by Andreas Schruba; Adam K. Leroy; Fabian Walter; Frank Bigiel; Elias Brinks; W. J. G. de Blok; Carsten Kramer; Erik Rosolowsky; Karin Sandstrom; Karl Schuster; Antonio Usero; Axel Weiss; Helmut Wiesemeyer
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[Abridged] We present maps of CO 2-1 emission covering the entire star-forming disks of 16 nearby dwarf galaxies observed by the IRAM HERACLES survey. The data have 13 arcsec angular resolution, ~250 pc at our average distance of 4 Mpc, and sample the galaxies by 10-1000 resolution elements. We apply stacking techniques to perform the first sensitive search for CO emission in dwarfs outside the Local Group ranging from single lines-of-sight, stacked over IR-bright regions of embedded star...
Source: http://arxiv.org/abs/1203.4231v1
Arxiv.org
by John Gemmer; Shankar Venkataramani
texts

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We investigate the behavior of non-Euclidean plates with constant negative Gaussian curvature using the F\"oppl-von K\'arm\'an reduced theory of elasticity. Motivated by recent experimental results, we focus on annuli with a periodic profile. We prove rigorous upper and lower bounds for the elastic energy that scales like the thickness squared. In particular we show that are only two types of global minimizers -- deformations that remain flat and saddle shaped deformations with isolated...
Source: http://arxiv.org/abs/1203.4329v2
Arxiv.org
by M. Boninsegni; L. Pollet; N. Prokof'ev; B. Svistunov
texts

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Indistinguishability of particles is a major factor destabilizing crystalline order in Bose systems. We describe this effect in terms of damped quasi-particle modes and in the dual language of Feynman paths, and illustrate it by first-principle simulations of dipolar bosons and bulk condensed helium-four. The first major implication is that, contrary to conventional wisdom, zero-point motion alone cannot prevent helium-four crystallization at low temperature, at saturated vapour pressure....
Source: http://arxiv.org/abs/1203.4447v2
Arxiv.org
texts

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We present the results of the symmetry classification of the electron energy bands in graphene and silicene using group theory algebra and the tight--binding approximation. The analysis is performed both in the absence and in the presence of the spin-orbit coupling. We also discuss the bands merging in the Brillouin zone symmetry points and the conditions for the latter to become Dirac points.
Source: http://arxiv.org/abs/1203.4492v8
Arxiv.org
by Mathias Wilke
texts

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In this paper we study a generalized Cahn-Hilliard equation which was proposed by Gurtin. We prove the existence and uniqueness of a local-in-time solution for a quasilinear version, that is, if the coefficients depend on the solution and its gradient. Moreover we show that local solutions to the corresponding semilinear problem exist globally as long as the physical potential satisfies certain growth conditions. Finally we study the long-time behaviour of the solutions and show that each...
Source: http://arxiv.org/abs/1203.4391v1
Arxiv.org
by Zeqian Chen; Chengjun He; Chuangye Liu
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In this paper, we prove the blowup alternative for Gross-Pitaevskii hierarchies on $\mathbb{R}^n$ and give the associated lower bounds on the blowup rate. In particular, we prove that any solution of density operators to the focusing Gross-Pitaevskii hierarchy blow up in finite time for $n \ge 3$ if the energy per some $k$ particles in the initial condition is negative. All of these results hold without the assumption of factorized conditions for initial values as well as the admissible ones....
Source: http://arxiv.org/abs/1203.4411v1
Arxiv.org
by Mark Lacy; Anna Sajina; Susan E. Ridgway; Danielle M. Nielsen; Tanya Urrutia; Duncan Farrah; Elinor L. Gates
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We present preliminary results on fitting of SEDs to 142 z>1 quasars selected in the mid-infrared. Our quasar selection finds objects ranging in extinction from highly obscured, type-2 quasars, through more lightly reddened type-1 quasars and normal type-1s. We find a weak tendency for the objects with the highest far-infrared emission to be obscured quasars, but no bulk systematic offset between the far-infrared properties of dusty and normal quasars as might be expected in the most naive...
Source: http://arxiv.org/abs/1203.4521v1
Arxiv.org
by Paola Bonacini; Maria Grazia Cinquegrani; Lucia Marino
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Let G = (V, E) be a multigraph without loops and for any x {\in}V let E(x) be the set of edges of G incident to x. A homogeneous edge-coloring of G is an assignment of an integer m >= 2 and a coloring c:E {\to} S of the edges of Gsuchthat|S| = mandforanyx{\in}V,if|E(x)| = mqx+rx with0
Source: http://arxiv.org/abs/1203.4531v1
Arxiv.org
by S. Gasparinetti; M. J. Martínez-Pérez; S. de Franceschi; J. P. Pekola; F. Giazotto
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Measuring the temperature of a two-dimensional electron gas at temperatures of a few mK is a challenging issue, which standard thermometry schemes may fail to tackle. We propose and analyze a nongalvanic thermometer, based on a quantum point contact and quantum dot, which delivers virtually no power to the electron system to be measured.
Source: http://arxiv.org/abs/1203.5693v1
Arxiv.org
by N. V. Nitta; Y. Liu; M. L. DeRosa; R. W. Nightingale
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Ground level events (GLEs) occupy the high-energy end of gradual solar energetic particle (SEP) events. They are associated with coronal mass ejections (CMEs) and solar flares, but we still do not clearly understand the special conditions that produce these rare events. During Solar Cycle 23, a total of 16 GLEs were registered, using ground-based neutron monitor data. We first ask if these GLEs are clearly distinguishable from other SEP events observed from space. Setting aside possible...
Source: http://arxiv.org/abs/1203.5777v1
Arxiv.org
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We show that in a background of a sufficiently strong magnetic field the electroweak sector of the quantum vacuum exhibits superconducting and, simultaneously, superfluid properties due to magnetic-field-induced condensation of, respectively, W and Z bosons. The phase transition to the "tandem" superconductor--superfluid phase - which is weakly sensitive to the Higgs sector of the standard model - occurs at the critical magnetic field of 10^{20} Tesla. The superconductor-superfluid...
Source: http://arxiv.org/abs/1203.5963v1
Arxiv.org
by Kazunori Noguchi
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We define the zeta function of a finite category. And we propose a conjecture which states the relationship between the Euler characteristic of finite categories and the zeta function of finite categories. This conjecture is verified when categories are finite groupoids, finite acyclic categories, categories with 2-objects and finite categories satisfying certain condition.
Source: http://arxiv.org/abs/1203.6133v3
Arxiv.org
by Sougata Pal; Simon Oechsner; Boris Bellalta; Miquel Oliver
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Interconnecting multiple sensor networks is a relatively new research field which has emerged in the Wireless Sensor Network domain. Wireless Sensor Networks (WSNs) have typically been seen as logically separate, and few works have considered interconnection and interaction between them. Interconnecting multiple heterogeneous sensor networks therefore opens up a new field besides more traditional research on, e.g., routing, self organization, or MAC layer development. Up to now, some approaches...
Source: http://arxiv.org/abs/1203.6316v2
Arxiv.org
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The three traditional failure classes are system, media, and transaction failures. Sometimes, however, modern storage exhibits failures that differ from all of those. In order to capture and describe such cases, single-page failures are introduced as a fourth failure class. This class encompasses all failures to read a data page correctly and with plausible contents despite all correction attempts in lower system levels. Efficient recovery seems to require a new data structure called the page...
Source: http://arxiv.org/abs/1203.6404v1
Arxiv.org
by Caterina Cocchi; Deborah Prezzi; Alice Ruini; Enrico Benassi; Marilia J. Caldas; Stefano Corni; Elisa Molinari
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The optical excitations of elongated graphene nanoflakes of finite length are investigated theoretically through quantum chemistry semi-empirical approaches. The spectra and the resulting dipole fields are analyzed, accounting in full atomistic details for quantum confinement effects, which are crucial in the nanoscale regime. We find that the optical spectra of these nanostructures are dominated at low energy by excitations with strong intensity, comprised of characteristic coherent...
Source: http://arxiv.org/abs/1203.6369v1
Arxiv.org
by Tullio Ceccherini-Silberstein; Michel Coornaert
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Following ideas developed by Misha Gromov, we investigate surjunctivity and reversibility properties of cellular automata defined over certain concrete categories.
Source: http://arxiv.org/abs/1203.6492v2
Arxiv.org
by Gianluca Geloni; Vitali Kocharyan; Evgeni Saldin
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Self-seeding is a promising approach to significantly narrow the SASE bandwidth of XFELs to produce nearly transform-limited pulses. The development of such schemes in the soft X-ray wavelength range necessarily involves gratings as dispersive elements. These introduce, in general, a pulse-front tilt, which is directly proportional to the angular dispersion. Pulse-front tilt may easily lead to a seed signal decrease by a factor two or more. Suggestions on how to minimize the pulse-front tilt...
Source: http://arxiv.org/abs/1203.6442v1
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by Carl M. Bender; Daniel W. Hook; S. P. Klevansky
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The non-Hermitian PT-symmetric quantum-mechanical Hamiltonian $H=p^2+x^2(ix)^\epsilon$ has real, positive, and discrete eigenvalues for all $\epsilon\geq 0$. These eigenvalues are analytic continuations of the harmonic-oscillator eigenvalues $E_n=2n+1$ (n=0, 1, 2, 3, ...) at $\epsilon=0$. However, the harmonic oscillator also has negative eigenvalues $E_n=-2n-1$ (n=0, 1, 2, 3, ...), and one may ask whether it is equally possible to continue analytically from these eigenvalues. It is shown in...
Source: http://arxiv.org/abs/1203.6590v1
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by Frank Aurzada; Thomas Simon
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This article deals with the asymptotic behaviour as $t\to +\infty$ of the survival function $P[T > t],$ where $T$ is the first passage time above a non negative level of a random process starting from zero. In many cases of physical significance, the behaviour is of the type $P[T > t]=t^{-\theta + o(1)}$ for a known or unknown positive parameter $\theta$ which is called a persistence exponent. The problem is well understood for random walks or L\'evy processes but becomes more difficult...
Source: http://arxiv.org/abs/1203.6554v1
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by Imad Agha; Marcelo Davanco; Bryce Thurston; Kartik Srinivasan
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Low-noise, tunable wavelength-conversion through non-degenerate four-wave mixing Bragg scattering in SiNx waveguides is experimentally demonstrated. Finite element method simulations of waveguide dispersion are used with the split-step Fourier method to predict device performance, and indicate a strong dependence of the conversion efficiency on phase matching, which is controlled by the waveguide geometry. Two 1550 nm wavelength band pulsed pumps are used to achieve tunable conversion of a 980...
Source: http://arxiv.org/abs/1203.6558v2
A search for events with large missing transverse momentum, jets, and at least two tau leptons has been performed using 2 fb^-1 of proton-proton collision data at sqrt(s) = 7 TeV recorded with the ATLAS detector at the Large Hadron Collider. No excess above the Standard Model background expectation is observed and a 95% CL visible cross section upper limit for new phenomena is set. A 95% CL lower limit of 32 TeV is set on the GMSB breaking scale Lambda independent of tan(beta). These limits...
Source: http://arxiv.org/abs/1203.6580v2
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In this work we provide a level raising theorem for $\mod \lambda^n$ modular Galois representations. It allows one to see such a Galois representation that is modular of level $N$, weight 2 and trivial Nebentypus as one that is modular of level $Np$, for a prime $p$ coprime to $N$, when a certain local condition at $p$ is satisfied. It is a generalization of a result of Ribet concerning $\mod \ell$ Galois representations.
Source: http://arxiv.org/abs/1203.6541v1
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by Michael J. Wilson; Blake D. Sherwin; J. Colin Hill; Graeme Addison; Nick Battaglia; J. Richard Bond; Sudeep Das; Mark J. Devlin; Joanna Dunkley; Rolando Dunner; Joseph W. Fowler; Megan B. Gralla; Amir Hajian; Mark Halpern; Matt Hilton; Adam D. Hincks; Renee Hlozek; Kevin Huffenberger; John P. Hughes; Arthur Kosowsky; Thibaut Louis; Tobias A. Marriage; Danica Marsden; Felipe Menanteau; Kavilan Moodley; Michael D. Niemack; Michael R. Nolta; Lyman A. Page; Bruce Partridge; Erik D. Reese; Neelima...
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We present a detection of the unnormalized skewness induced by the thermal Sunyaev-Zel'dovich (tSZ) effect in filtered Atacama Cosmology Telescope (ACT) 148 GHz cosmic microwave background temperature maps. Contamination due to infrared and radio sources is minimized by template subtraction of resolved sources and by constructing a mask using outlying values in the 218 GHz (tSZ-null) ACT maps. We measure = -31 +- 6 \mu K^3 (measurement error only) or +- 14 \mu K^3 (including cosmic variance...
Source: http://arxiv.org/abs/1203.6633v2
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by Farook Rahaman; P. K. F. Kuhfittig; Ruhul Amin; Gurudas Mandal; Saibal Ray; Nasarul Islam
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Considering the flat rotation curves as input and treating the matter content in the galactic halo region as quark matter, we have found out a background spacetime metric for the region of the galactic halo. We obtain fairly general conditions that ensure that gravity in the halo region is attractive. We also investigate the stability of circular orbits, along with a different role for quark matter. Bag-model quark matter meeting these conditions therefore provides a suitable model for dark...
Source: http://arxiv.org/abs/1203.6649v2
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by Maciej Rybczynski; Zbigniew Wlodarczyk; Grzegorz Wilk
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It has been noticed recently that transverse momenta (p_T) distributions observed in high energy production processes exhibit remarkably universal scaling behaviour. This is the case when a suitable variable replaces the usual p_T. On the other hand, it is also widely known that transverse momentum distributions in general follow a power-like Tsallis distribution, rather than an exponential Boltzmann-Gibbs, with a (generally energy dependent) nonextensivity parameter q. Here we show that it is...
Source: http://arxiv.org/abs/1203.6787v3
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by Mikhail Isaev; K. V Isaeva
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We study three mixing properties of a graph: large algebraic connectivity, large Cheeger constant (isoperimetric number) and large spectral gap from 1 for the second largest eigenvalue of the transition probability matrix of the random walk on the graph. We prove equivalence of this properties (in some sense). We give estimates for the probability for a random graph to satisfy these properties. In addition, we present asymptotic formulas for the numbers of Eulerian orientations and Eulerian...
Source: http://arxiv.org/abs/1203.6880v1
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by Joao L. Costa; Artur Alho; Jose Natario
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We apply Christodoulou's framework, developed to study the Einstein-scalar field equations in spherical symmetry, to the linear wave equation in de Sitter spacetime, as a first step towards the Einstein-scalar field equations with positive cosmological constant. We obtain an integro-differential evolution equation which we solve by taking initial data on a null cone. As a corollary we obtain elementary derivations of expected properties of linear waves in de Sitter spacetime: boundedness in...
Source: http://arxiv.org/abs/1107.0802v2
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by Philip Boalch
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A new class of isomonodromy equations will be introduced and shown to admit Kac-Moody Weyl group symmetries. This puts into a general context some results of Okamoto on the 4th, 5th and 6th Painleve equations, and shows where such Kac-Moody root systems occur "in nature". A key point is that one may go beyond the class of affine Kac-Moody root systems. As examples, by considering certain hyperbolic Kac-Moody Dynkin diagrams, we find there is a sequence of higher order Painleve systems...
Source: http://arxiv.org/abs/1107.0874v2
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The Leggett mode associated with out-of-phase oscillations of superconducting phase in multi-band superconductors usually is heavy due to the interband coupling, which makes its excitation and detection difficult. We report on the existence of a massless Leggett mode in three-band superconductors with time-reversal-symmetry-breaking (TRSB). The mass of the Leggett mode is small close to the TRSB transition and vanishes at the transition point, and thus locates within the smallest...
Source: http://arxiv.org/abs/1107.0814v2
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by Gyan Ranjan; Zhi-Li Zhang
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We explore the geometry of complex networks in terms of an n-dimensional Euclidean embedding represented by the Moore-Penrose pseudo-inverse of the graph Laplacian $(\bb L^+)$. The squared distance of a node $i$ to the origin in this n-dimensional space $(l^+_{ii})$, yields a topological centrality index $(\mathcal{C}^{*}(i) = 1/l^+_{ii})$ for node $i$. In turn, the sum of reciprocals of individual node structural centralities, $\sum_{i}1/\mathcal{C}^*(i) = \sum_{i} l^+_{ii}$, i.e. the trace of...
Source: http://arxiv.org/abs/1107.0989v4
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by Michael Backes; Ian Goldberg; Aniket Kate; Tomas Toft
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Interest in anonymous communication over distributed hash tables (DHTs) has increased in recent years. However, almost all known solutions solely aim at achieving sender or requestor anonymity in DHT queries. In many application scenarios, it is crucial that the queried key remains secret from intermediate peers that (help to) route the queries towards their destinations. In this paper, we satisfy this requirement by presenting an approach for providing privacy for the keys in DHT queries. We...
Source: http://arxiv.org/abs/1107.1072v2
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by Jean Fasel; Richard G. Swan; Ravi A. Rao
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We prove that stably free modules of rank d-1 over a smooth affine algebra of dimension d over an algebraically closed field k are free, provided (d-1)! is nonzero in k.
Source: http://arxiv.org/abs/1107.1051v2
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We show that a smooth, small enough Cauchy datum launches a unique classical solution of the relativistic Vlasov-Darwin (RVD) system globally in time. A similar result is claimed in Comm. Math. Sci. 6, 749-764 (2008) following the work in Int. Mat. Res. Not. 57191, 1-31 (2006). Our proof does not require estimates derived from the conservation of the total energy, nor those previously given on the transverse component of the electric field. These estimates are crucial in the references cited...
Source: http://arxiv.org/abs/1107.0947v2
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by S. Groote; J. G. Körner; A. A. Pivovarov
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We compute next-to-leading order (NLO) perturbative QCD corrections to the correlators of interpolating pentaquark currents. We employ modular techniques in configuration space which saves us from the onus of having to do loop calculations. The modular technique is explained in some detail. We present explicit NLO results for several interpolating pentaquark currents that have been written down in the literature. Our modular approach is easily adapted to the case of NLO corrections to...
Source: http://arxiv.org/abs/1107.0615v2
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by Melissa Duarte; Chris Dick; Ashutosh Sabharwal
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We present an experiment-based characterization of passive suppression and active self-interference cancellation mechanisms in full-duplex wireless communication systems. In particular, we consider passive suppression due to antenna separation at the same node, and active cancellation in analog and/or digital domain. First, we show that the average amount of cancellation increases for active cancellation techniques as the received self-interference power increases. Our characterization of the...
Source: http://arxiv.org/abs/1107.1276v2
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by Daniel Grin; Olivier Doré; Marc Kamionkowski
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Baryon-density perturbations of large amplitude may exist if they are compensated by dark-matter perturbations so that the total density remains unchanged. Big-bang nucleosynthesis and galaxy clusters allow the amplitudes of these compensated isocurvature perturbations (CIPs) to be as large as $\sim10%$. CIPs will modulate the power spectrum of cosmic microwave background (CMB) fluctuations---those due to the usual adiabatic perturbations---as a function of position on the sky. This leads to...
Source: http://arxiv.org/abs/1107.1716v2
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by Serge F. Timashev; Oleg Yu. Panischev; Yuriy S. Polyakov; Sergey A. Demin; Alexander Ya. Kaplan
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We apply flicker-noise spectroscopy (FNS), a time series analysis method operating on structure functions and power spectrum estimates, to study the clinical electroencephalogram (EEG) signals recorded in children/adolescents (11 to 14 years of age) with diagnosed schizophrenia-spectrum symptoms at the National Center for Psychiatric Health (NCPH) of the Russian Academy of Medical Sciences. The EEG signals for these subjects were compared with the signals for a control sample of chronically...
Source: http://arxiv.org/abs/1107.1884v3
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by Manuel Kauers; Christian Krattenthaler; Thomas W. Müller
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We present a method to obtain congruences modulo powers of 2 for sequences given by recurrences of finite depth with polynomial coefficients. We apply this method to Catalan numbers, Fu\ss-Catalan numbers, and to subgroup counting functions associated with Hecke groups and their lifts. This leads to numerous new results, including many extensions of known results to higher powers of 2.
Source: http://arxiv.org/abs/1107.2015v2
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by F. Lacasa; N. Aghanim; M. Kunz; M. Frommert
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This study, using publicly available simulations, focuses on the characterisation of the non-Gaussianity produced by radio point sources and by infrared (IR) sources in the frequency range of the cosmic microwave background from 30 to 350 GHz. We propose a simple prescription to infer the angular bispectrum from the power spectrum of point sources considering independent populations of sources, with or without clustering. We test the accuracy of our prediction using publicly available all-sky...
Source: http://arxiv.org/abs/1107.2251v2
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by D. Di Castro; M. Salvato; A. Tebano; D. Innocenti; C. Aruta; W. Prellier; O. I. Lebedev; I. Ottaviani; N. B. Brookes; M. Minola; M. Moretti Sala; C. Mazzoli; P. G. Medaglia; G. Ghiringhelli; L. Braicovich M. Cirillo; G. Balestrino
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We report the occurrence of superconductivity, with maximum Tc = 40 K, in superlattices (SLs) based on two insulating oxides, namely CaCuO2 and SrTiO3. In these (CaCuO2)n/(SrTiO3)m SLs, the CuO2 planes belong only to CaCuO2 block, which is an antiferromagnetic insulator. Superconductivity, confined within few unit cells at the CaCuO2/SrTiO3 interface, shows up only when the SLs are grown in a highly oxidizing atmosphere, because of extra oxygen ions entering at the interfaces. Evidence is...
Source: http://arxiv.org/abs/1107.2239v3
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The Caccetta-Haggkvist conjecture made in 1978 asserts that every orgraph on n vertices without oriented cycles of length
Source: http://arxiv.org/abs/1107.2247v2
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by Yu-Xiao Liu; Xiang-Nan Zhou; Ke Yang; Feng-Wei Chen
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Recently, a new spin-1/2 fermionic quantum field with mass dimension one in four dimensions--Elko field $\lambda$ was introduced as a candidate of dark matter. In this paper, we investigate the localization of 5D Elko {spinors} on Minkowski branes by presenting the equation of {the} Elko KK modes. For the 5D free massless Elko field, the zero mode can be localized on Randall-Sundrum thin brane but can not be localized on the majority of thick branes. There {do} not exist bound massive KK modes...
Source: http://arxiv.org/abs/1107.2506v4
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by G. Alencar; I. Guedes; R. R. Landim; R. N. Costa Filho
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In this work we investigate the quantum theory of light propagating in $D-$dimensional de Sitter spacetimes. To do so, we use the method of dynamic invariants to obtain the solution of the time-dependent Schr\"odinger equation. The quantum behavior of the electromagnetic field in this background is analyzed. As the electromagnetism loses its conformality in $D\neq4$, we point that there will be particle production and comoving objects will feel a Bunch-Davies thermal bath. This may become...
Source: http://arxiv.org/abs/1107.2558v2
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by Jeroen P. A. Devreese; Michiel Wouters; Jacques Tempere
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The question whether a spin-imbalanced Fermi gas can accommodate the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state has been the subject of intense study. This state, in which Cooper pairs obtain a nonzero momentum, has hitherto eluded experimental observation. Recently, we demonstrated that the FFLO state can be stabilized in a 3D Fermi gas, by adding a 1D periodic potential. Until now it was assumed that the FFLO wave vector always lies parallel to this periodic potential (FFLO-P). In this...
Source: http://arxiv.org/abs/1107.2613v2
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by Palle E. T. Jorgensen; Erin P. J. Pearse
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For a network consisting of a graph with edge weights prescribed by a given conductance function $c$, we consider the effects of replacing these weights with a new function $b$ that satisfies $b \leq c$ on each edge. In particular, we compare the corresponding energy spaces and the spectra of the Laplace operators acting on these spaces. We use these results to derive estimates for effective resistance on the two networks, and to compute a spectral invariant for the canonical embedding of one...
Source: http://arxiv.org/abs/1107.2786v2
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by Alexandre Janon; Maëlle Nodet; Clémentine Prieur
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Global sensitivity analysis of a numerical code, more specifically estimation of Sobol indices associated with input variables, generally requires a large number of model runs. When those demand too much computation time, it is necessary to use a reduced model (metamodel) to perform sensitivity analysis, whose outputs are numerically close to the ones of the original model, while being much faster to run. In this case, estimated indices are subject to two kinds of errors: sampling error, caused...
Source: http://arxiv.org/abs/1107.3542v2
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We work out the impact that the recently determined time-dependent component of the Pioneer Anomaly (PA), interpreted as an additional exotic acceleration of gravitational origin with respect to the well known PA-like constant one, may have on the orbital motions of some planets of the solar system. By assuming that it points towards the Sun, it turns out that both the semi-major axis a and the eccentricity e of the orbit of a test particle experience secular variations. For Saturn and Uranus,...
Source: http://arxiv.org/abs/1107.3445v5
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by Boris Bukh; Gabriel Nivasch
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In 2008, Bukh, Matousek, and Nivasch conjectured that for every n-point set S in R^d and every k, 0
Source: http://arxiv.org/abs/1107.3421v3
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by Rodrigo Gallego; Lars Erik Würflinger; Antonio Acín; Miguel Navascués
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Identifying which correlations among distant observers are possible within our current description of Nature, based on quantum mechanics, is a fundamental problem in Physics. Recently, information concepts have been proposed as the key ingredient to characterize the set of quantum correlations. Novel information principles, such as, information causality or non-trivial communication complexity, have been introduced in this context and successfully applied to some concrete scenarios. We show in...
Source: http://arxiv.org/abs/1107.3738v2
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by Fred Galvin; Marion Scheepers
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We introduce a natural generalization of Borel's Conjecture. For each infinite cardinal number $\kappa$, let {\sf BC}$_{\kappa}$ denote this generalization. Then ${\sf BC}_{\aleph_0}$ is equivalent to the classical Borel conjecture. Assuming the classical Borel conjecture, $\neg{\sf BC}_{\aleph_1}$ is equivalent to the existence of a Kurepa tree of height $\aleph_1$. Using the connection of ${\sf BC}_{\kappa}$ with a generalization of Kurepa's Hypothesis, we obtain the following consistency...
Source: http://arxiv.org/abs/1107.5383v2
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We consider the problem of approximating the solution of variational problems subject to the constraint that the admissible functions must be convex. This problem is at the interface between convex analysis, convex optimization, variational problems, and partial differential equation techniques. The approach is to approximate the (non-polyhedral) cone of convex functions by a polyhedral cone which can be represented by linear inequalities. This approach leads to an optimization problem with...
Source: http://arxiv.org/abs/1107.5290v3
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by Olga Lukina
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We study a class of graph foliated spaces, or graph matchbox manifolds, initially constructed by Kenyon and Ghys. For graph foliated spaces we introduce a quantifier of dynamical complexity which we call its level. We develop the fusion construction, which allows us to associate to every two graph foliated spaces a third one which contains the former two in its closure. Although the underlying idea of the fusion is simple, it gives us a powerful tool to study graph foliated spaces. Using...
Source: http://arxiv.org/abs/1107.5303v3
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by S. Bradley Cenko; Hans A. Krimm; Assaf Horesh; Arne Rau; Dale A. Frail; Jaime A. Kennea; Andrew J. Levan; Stephen T. Holland; Nat R. Butler; Robert M. Quimby; Joshua S. Bloom; Alexei V. Filippenko; Avishay Gal-Yam; Jochen Greiner; S. R. Kulkarni; Eran O. Ofek; Felipe Olivares E.; Patricia Schady; Jeffrey M. Silverman; Nial Tanvir; Dong Xu
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We report the discovery by the Swift hard X-ray monitor of the transient source Swift J2058.4+0516 (Sw J2058+05). Our multi-wavelength follow-up campaign uncovered a long-lived (duration >~ months), luminous X-ray (L_X,iso ~ 3 x 10^47 erg s^-1) and radio (nu L_nu,iso ~ 10^42 erg s^-1) counterpart. The associated optical emission, however, from which we measure a redshift of 1.1853, is relatively faint, and this is not due to a large amount of dust extinction in the host galaxy. Based on...
Source: http://arxiv.org/abs/1107.5307v3
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by Tsing-Wai Wong; Francesca Valsecchi; Tassos Fragos; Vassiliki Kalogera
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In recent years, accurate observational constraints become available for an increasing number of Galactic X-ray binaries. Together with proper motion measurements, we could reconstruct the full evolutionary history of X-ray binaries back to the time of compact object formation. In this paper, we present the first study of the persistent X-ray source Cygnus\;X-1 that takes into account of all available observational constraints. Our analysis accounts for three evolutionary phases: orbital...
Source: http://arxiv.org/abs/1107.5585v2
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by A. B. Goncharov; R. Kenyon
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We show that the dimer model on a bipartite graph on a torus gives rise to a quantum integrable system of special type - a cluster integrable system. The phase space of the classical system contains, as an open dense subset, the moduli space of line bundles with connections on the graph. The sum of Hamiltonians is essentially the partition function of the dimer model. Any graph on a torus gives rise to a bipartite graph on the torus. We show that the phase space of the latter has a Lagrangian...
Source: http://arxiv.org/abs/1107.5588v2
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by James P. Crutchfield; Sean Whalen
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We introduce a theory of sequential causal inference in which learners in a chain estimate a structural model from their upstream teacher and then pass samples from the model to their downstream student. It extends the population dynamics of genetic drift, recasting Kimura's selectively neutral theory as a special case of a generalized drift process using structured populations with memory. We examine the diffusion and fixation properties of several drift processes and propose applications to...
Source: http://arxiv.org/abs/1005.2714v2
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by Dennis Bohle; Wend Werner
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We associate to every JB*-triple system a so-called universal enveloping TRO and show some functorial properties of this correspondence. We compute the universal enveloping TROs of the finite dimensional Cartan factors.
Source: http://arxiv.org/abs/1005.3197v3
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by A. Ahadi; Nazli Besharati; E. S. Mahmoodian; M. Mortezaeefar
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For a block design $\cal{D}$, a series of {\sf block intersection graphs} $G_i$, or $i$-{\rm BIG}($\cal{D}$), $i=0, ..., k$ is defined in which the vertices are the blocks of $\cal{D}$, with two vertices adjacent if and only if the corresponding blocks intersect in exactly $i$ elements. A silver graph $G$ is defined with respect to a maximum independent set of $G$, called a {\sf diagonal} of that graph. Let $G$ be $r$-regular and $c$ be a proper $(r + 1)$-coloring of $G$. A vertex $x$ in $G$ is...
Source: http://arxiv.org/abs/1005.4492v3
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We investigate the theory of observers in the quantum mechanical world by using a novel model of the human brain which incorporates the glial network into the Hopfield model of the neural network. Our model is based on a microscopic construction of a quantum Hamiltonian of the synaptic junctions. Using the Eguchi-Kawai large N reduction, we show that, when the number of neurons and astrocytes is exponentially large, the degrees of freedom of the dynamics of the neural and glial networks can be...
Source: http://arxiv.org/abs/1005.5430v6
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by Curtis Menton
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We study the behavior of Range Voting and Normalized Range Voting with respect to electoral control. Electoral control encompasses attempts from an election chair to alter the structure of an election in order to change the outcome. We show that a voting system resists a case of control by proving that performing that case of control is computationally infeasible. Range Voting is a natural extension of approval voting, and Normalized Range Voting is a simple variant which alters each vote to...
Source: http://arxiv.org/abs/1005.5698v3
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by Michael Damron; Artëm Sapozhnikov
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We prove limit theorems and variance estimates for quantities related to ponds and outlets for 2D invasion percolation. We first exhibit several properties of a sequence $({\mathbf{O}}(n))$ of outlet variables, the $n$th of which gives the number of outlets in the box centered at the origin of side length $2^n$. The most important of these properties describes the sequence's renewal structure and exponentially fast mixing behavior. We use these to prove a central limit theorem and strong law of...
Source: http://arxiv.org/abs/1005.5696v3