publications

On scale-free and poly-scale behaviors of random hierarchical network

V. A. Avetisov 1, A. V. Chertovich 2, S. K. Nechaev 3, 4, O. A. Vasilyev 5, 6 Journal of Statistical Mechanics (2009) P07008 In this paper the question about statistical properties of block–hierarchical random matrices is raised for the first time in connection with structural characteristics of random hierarchical networks obtained by mipmapping procedure. In particular, we compute numerically the spectral density of large […]

On scale-free and poly-scale behaviors of random hierarchical network Lire la suite »

Off-diagonal correlations in one-dimensional anyonic models: A replica approach

Pasquale Calabrese 1, Raoul Santachiara 2 Journal of statistical mechanics-theory and experiment March 2009, 03 (2009) P03002 We propose a generalization of the replica trick that allows to calculate the large distance asymptotic of off-diagonal correlation functions in anyonic models with a proper factorizable ground-state wave-function. We apply this new method to the exact determination of all the harmonic

Off-diagonal correlations in one-dimensional anyonic models: A replica approach Lire la suite »

Non-neutral theory of biodiversity

Ginestra Bianconi 1, Luca Ferretti 2, Silvio Franz 3 Europhysics Letters (EPL) 87 (2009) 28001 We present a non-neutral stochastic model for the dynamics taking place in a meta-community ecosystems. The model provides a framework for describing the emergence of multiple ecological scenarios and behaves in two extreme limits either as the unified neutral theory of biodiversity or as the Bak-Sneppen

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Non-local pair correlations in the 1D Bose gas at finite temperature

P. Deuar 1, A. G. Sykes 2, D. M. Gangardt 3, M. J. Davis 4, P. D. Drummond 5, K. V. Kheruntsyan 6 Physical Review A: Atomic, Molecular and Optical Physics 79 (2009) 043619 The behavior of the spatial two-particle correlation function is surveyed in detail for a uniform 1D Bose gas with repulsive contact interactions at finite temperatures. Both long-, medium-, and short-range effects are investigated.

Non-local pair correlations in the 1D Bose gas at finite temperature Lire la suite »

Non-intersecting Brownian Interfaces and Wishart Random Matrices

Céline Nadal 1, Satya N. Majumdar 1 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 79 (2009) 061117 We study a system of $N$ non-intersecting $(1+1)$-dimensional fluctuating elastic interfaces (`vicious bridges’) at thermal equilibrium, each subject to periodic boundary condition in the longitudinal direction and in presence of a substrate that induces an external confining potential for each

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Near integrable systems

E. Bogomolny 1, M. R. Dennis 2, R. Dubertrand 3 Journal of Physics A Mathematical and Theoretical 42 (2009) 335102 A two-dimensional circular quantum billiard with unusual boundary conditions introduced by Berry and Dennis (\emph{J Phys A} {\bf 41} (2008) 135203) is considered in detail. It is demonstrated that most of its eigenfunctions are strongly localized and the corresponding eigenvalues are

Near integrable systems Lire la suite »

Multi-particle composites in density-imbalanced quantum fluids

Evgeni Burovski 1, Giuliano Orso 1, Thierry Jolicoeur 1 Physical Review Letters 103 (2009) 215301 We consider two-component one-dimensional quantum gases with density imbalance. While generically such fluids are two-component Luttinger liquids, we show that if the ratio of the densities is a rational number, p/q, and mass asymmetry between components is sufficiently strong, one of the two eigenmodes acquires a

Multi-particle composites in density-imbalanced quantum fluids Lire la suite »

Modified Coulomb gas construction of quantum Hall states from non-unitary conformal field theories

M. V. Milovanović 1, Th. Jolicoeur 2, I. Vidanović 3 Physical Review B 80 (2009) 155324 Some fractional quantum Hall states observed in experiments may be described by first-quantized wavefunctions with special clustering properties like the Moore-Read Pfaffian for filling factor nu = 5/2. This wavefunction has been constructed by constructing correlation functions of a two-dimensional conformal field theory (CFT) involving

Modified Coulomb gas construction of quantum Hall states from non-unitary conformal field theories Lire la suite »

Message Passing for Optimization and Control of Power Grid: Model of Distribution System with Redundancy

Lenka Zdeborová 1, Aurélien Decelle 2, Michael Chertkov 3 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 80 (2009) 046112 We use a power grid model with $M$ generators and $N$ consumption units to optimize the grid and its control. Each consumer demand is drawn from a predefined finite-size-support distribution, thus simulating the instantaneous load fluctuations. Each generator has a

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