Large Deviations and Random Matrices
Vivo, P., Majumdar, S.N., Bohigas, O. Acta Physica Polonica38 (2007) 4129-4151
Large Deviations and Random Matrices Lire la suite »
Vivo, P., Majumdar, S.N., Bohigas, O. Acta Physica Polonica38 (2007) 4129-4151
Large Deviations and Random Matrices Lire la suite »
Bouchoule, I., Kheruntsyan, K.V., Shlyapnikov, G.V. Physical Review A 75 (2007) 031606
Alain Comtet 1, 2, Satya N. Majumdar 1, Stephane Ouvry 1, Sanjib Sabhapandit 1 Journal of statistical mechanics-theory and experiment (2007) P10001 We compute the limit shapes of the Young diagrams of the minimal difference $p$ partitions and provide a simple physical interpretation for the limit shapes. We also calculate the asymptotic distribution of the largest part of the Young diagram and show that
Alain Comtet 1, 2, Satya N. Majumdar 1, Stephane Ouvry 1 Journal of Physics A General Physics 40 (2007) 11255-11269 We provide a combinatorial description of exclusion statistics in terms of minimal difference $p$ partitions. We compute the probability distribution of the number of parts in a random minimal $p$ partition. It is shown that the bosonic point $ p=0$ is a
Integer Partitions and Exclusion Statistics Lire la suite »
Ciliberti, S., Martin, O.C., Wagner, A. PNAS104 (2007) 13591-13596
Innovation and robustness in complex regulatory gene networks Lire la suite »
Mélanie Lebental 1, 2, Nadia Djellali 1, Carole Arnaud 1, Jean-Sébastien Lauret 1, Joseph Zyss 1, R. Dubertrand 2, C. Schmit 2, E. Bogomolny 2 Physical Review A: Atomic, Molecular and Optical Physics 76 (2007) 023830 Dielectric micro-cavities are widely used as laser resonators and characterizations of their spectra are of interest for various applications. We experimentally investigate micro-lasers of simple shapes (Fabry-Perot, square, pentagon, and disk). Their lasing spectra consist mainly
Inferring periodic orbits from spectra of simple shaped micro-lasers Lire la suite »
Amit Ghosal 1, 2, A.D. Guclu 1, 3, C.J. Umrigar 3, Denis Ullmo 1, 4, Harold U. Baranger 1 Physical Review B 76 (2007) 085341 We study the development of electron-electron correlations in circular quantum dots as the density is decreased. We consider a wide range of both electron number, N
Incipient Wigner Localization in Circular Quantum Dots Lire la suite »
Florent Krzakala 1, Andrea Montanari 2, Federico Ricci-Tersenghi, Guilhem Semerjian 2, Lenka Zdeborova 3 Proceeding of the national academy of sciences 104, 25 (2007) 10318 An instance of a random constraint satisfaction problem defines a random subset S (the set of solutions) of a large product space (the set of assignments). We consider two prototypical problem ensembles (random k-satisfiability and q-coloring of random regular
Gibbs States and the Set of Solutions of Random Constraint Satisfaction Problems Lire la suite »
Robert M. Ziff 1, Satya N. Majumdar 2, Alain Comtet 2, 3 Journal of Physics: Condensed Matter 19 (2007) 065102 The problem of the flux to a spherical trap in one and three dimensions, for diffusing particles undergoing discrete-time jumps with a given radial probability distribution, is solved in general, verifying the Smoluchowski-like solution in which the effective trap radius is reduced
General flux to a trap in one and three dimensions Lire la suite »
A. Zoia 1, A. Rosso 2, 3, M. Kardar 3 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 76 (2007) 021116 The fractional Laplacian operator, $-(-\triangle)^{\frac{\alpha}{2}}$, appears in a wide class of physical systems, including Lévy flights and stochastic interfaces. In this paper, we provide a discretized version of this operator which is well suited to deal with boundary conditions on
Fractional Laplacian in Bounded Domains Lire la suite »