publications

The average number of distinct sites visited by a random walker on random graphs

Caterina De Bacco 1 Satya N. Majumdar 1 Peter Sollich 2 Journal of Physics A: Mathematical and Theoretical, Institute of Physics: Hybrid Open Access, 2015, 48, pp.205004 We study the linear large $n$ behavior of the average number of distinct sites $S(n)$ visited by a random walker after $n$ steps on a large random graph. […]

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Survival probability of a Brownian motion in a planar wedge of arbitrary angle

Marie Chupeau 1 Olivier Bénichou 1 Satya N. Majumdar 2 Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2015, 91, pp.032106 We study the survival probability and the first-passage time distribution for a Brownian motion in a planar wedge with infinite absorbing edges. We generalize existing results obtained for wedge

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SU(3) and SU(4) singlet quantum Hall states at $\nu=2/3$

Fengcheng Wu 1 Inti Sodemann 1 Allan H. Macdonald 1 Thierry Jolicoeur 2 Physical Review Letters, American Physical Society, 2015, 115, pp.166805 We report on an exact diagonalization study of fractional quantum Hall states at filling factor $\nu=2/3$ in a system with a four-fold degenerate $n$=0 Landau level and SU(4) symmetric Coulomb interactions. Our investigation

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Statistics of two-dimensional random walks, the « cyclic sieving phenomenon » and the Hofstadter model

Stefan Mashkevich 1, 2 Stéphane Ouvry 3 Alexios Polychronakos 4 Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2015, 48, pp.405001 We focus on the algebraic area probability distribution of planar random walks on a square lattice with $m_1$, $m_2$, $l_1$ and $l_2$ steps right, left, up and down. We aim, in particular, at

Statistics of two-dimensional random walks, the « cyclic sieving phenomenon » and the Hofstadter model Lire la suite »

Statistics of the longest interval in renewal processes

Claude Godreche 1 Satya N. Majumdar 2 Gregory Schehr 2 Journal of Statistical Mechanics: Theory and Experiment, IOP Science, 2015, pp.P03014 We consider renewal processes where events, which can for instance be the zero crossings of a stochastic process, occur at random epochs of time. The intervals of time between events, $\tau_{1},\tau_{2},…$, are independent and

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Statistical physics methods provide the exact solution to a long-standing problem of genetics

Areejit Samal 1, 2, 3 Olivier C. Martin 4 Physical Review Letters, American Physical Society, 2015, 114, pp.238101 Analytic and computational methods developed within statistical physics have found applications in numerous disciplines. In this letter, we use such methods to solve a long-standing problem in statistical genetics. The problem, posed by Haldane and Waddington [J.B.S.

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Spontaneously formed autofocusing caustics in a confined self-defocusing medium

Michael Karpov 1 Thibault Congy 2 Yonatan Sivan 3 Victor Fleurov 1 Nicolas Pavloff 2 Shimshon Bar-Ad 1 Journal of Optical Networking, Optical Society of America, 2015, 2 (12), pp.1053. <10.1364/OPTICA.2.001053> 1. Raymond and Beverly Sackler School of Physics and Astronomy 2. LPTMS – Laboratoire de Physique Théorique et Modèles Statistiques 3. Ben Gurion University

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