publications

E. Katzav 1, S. Nechaev 2, O. Vasilyev 3, 4 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 75 (2007) 061113 We report some new observation concerning the statistics of Longest Increasing Subsequences (LIS). We show that the expectation of LIS, its variance, and apparently the full distribution function appears in statistical analysis of some simple nonlinear stochastic partial differential equation […]

A. Comtet 1, 2, P. Leboeuf 1, Satya N. Majumdar 1 Physical Review Letters 98 (2007) 070404 We establish a connection between the level density of a gas of non-interacting bosons and the theory of extreme value statistics. Depending on the exponent that characterizes the growth of the underlying single-particle spectrum, we show that at a given excitation energy the limiting distribution

Pierpaolo Vivo 1, Satya N. Majumdar 2, Oriol Bohigas 2 Journal of Physics A: Mathematical and General 40 (2007) 4317-4337 We compute analytically the probability of large fluctuations to the left of the mean of the largest eigenvalue in the Wishart (Laguerre) ensemble of positive definite random matrices. We show that the probability that all the eigenvalues of a (N x

Vivo, P., Majumdar, S.N., Bohigas, O. Acta Physica Polonica38 (2007) 4129-4151

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

Ciliberti, S., Martin, O.C., Wagner, A. PNAS104 (2007) 13591-13596

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

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