Nom de l’auteur/autrice :admin

Satya N. Majumdar 1, Pierpaolo Vivo 1 Physical Review Letters 108 (2012) 200601 We compute analytically, for large $N$, the probability $\mathcal{P}(N_+,N)$ that a $N\times N$ Wishart random matrix has $N_+$ eigenvalues exceeding a threshold $N\zeta$, including its large deviation tails. This probability plays a benchmark role when performing the Principal Component Analysis of a large empirical dataset. We […]

Satya N. Majumdar 1, Mikhail V. Tamm 2 Physical Review E 86 (2012) 021135 We compute analytically the mean number of common sites, W_N(t), visited by N independent random walkers each of length t and all starting at the origin at t=0 in d dimensions. We show that in the (N-d) plane, there are three distinct regimes for the

Zhen-Kai Lu 1, 2, 3, G. V. Shlyapnikov 1, 4 Physical Review A 85 (2012) 023614 We study Fermi liquid properties of a weakly interacting 2D gas of single-component fermionic polar molecules with dipole moments $d$ oriented perpendicularly to the plane of their translational motion. This geometry allows the minimization of inelastic losses due to chemical reactions for reactive molecules and, at

Kirova, N., Brazovskii, S., Choi, A., Park, Y.W. Physica B407 (2012) 1939-1942

Forrester, P.J., Majumdar, S.N., Schehr, G. Nuclear Physics B 857 (2012) 424-427

Andrea Crisanti 1, Andrea Puglisi 2, Dario Villamaina 3 Physical Review E 85 (2012) 061127 We discuss the relevance of information contained in cross-correlations among different degrees of freedom, which is crucial in non-equilibrium systems. In particular we consider a stochastic system where two degrees of freedom $X_1$ and $X_2$ – in contact with two different thermostats – are coupled together.

O. V. Valba 1, 2, M. V. Tamm 3, S. K. Nechaev 1, 4 Physical Review Letters 109 (2012) 018102 We study the fraction $f$ of nucleotides involved in the formation of a cactus–like secondary structure of random heteropolymer RNA–like molecules. In the low–temperature limit we study this fraction as a function of the number $c$ of different nucleotide species. We show, that

Ignacio Garcia-Mata 1, 2, J. Martin 3, Olivier Giraud 4, Bertrand Georgeot 1 Physical Review E 86 (2012) 056215 We study a version of the mathematical Ruijsenaars-Schneider model, and reinterpret it physically in order to describe the spreading with time of quantum wave packets in a system where multifractality can be tuned by varying a parameter. We compare different methods to measure the multifractality

Yasar Yilmaz Atas 1, Eugene Bogomolny 1 Physical Review E 86 (2012) 021104 We investigate different one-dimensional quantum spin-1/2 chain models and by combining analytical and numerical calculations prove that their ground state wave functions in the natural spin basis are multifractals with, in general, non-trivial fractal dimensions. 1. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS), CNRS :

E. Bogomolny 1, O. Giraud 1 Physical Review E 85 (2012) 046208 We construct perturbation series for the q-th moment of eigenfunctions of various critical random matrix ensembles in the strong multifractality regime close to localization. Contrary to previous investigations, our results are valid in the region q