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Gregory Schehr 1, Satya N. Majumdar 2 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 73 (2006) 056103 We study the probability density function $P(h_m,L)$ of the maximum relative height $h_m$ in a wide class of one-dimensional solid-on-solid models of finite size $L$. For all these lattice models, in the large $L$ limit, a central limit argument shows […]

Satya N. Majumdar 1, Alain Comtet 1, 2, Robert M. Ziff 3 Journal of Statistical Physics 122 (2006) 833-856 Two random-walk related problems which have been studied independently in the past, the expected maximum of a random walker in one dimension and the flux to a spherical trap of particles undergoing discrete jumps in three dimensions, are shown to be closely related

Fabien Alet 1, Gregoire Misguich 2, Vincent Pasquier 2, Roderich Moessner 3, Jesper Lykke Jacobsen 2, 4 Physical Review Letters 97 (2006) 030403 Phase transitions occupy a central role in physics, due both to their experimental ubiquity and their fundamental conceptual importance. The explanation of universality at phase transitions was the great success of the theory formulated by Ginzburg and Landau, and extended through the renormalization

Martin, O.C., Hospital, F. Genetics 173 (2006) 451-459

Bilas, N. Thèse-LPTMS Orsay (2006)

Jesper Lykke Jacobsen, Jesus Salas 1 Journal of Statistical Physics 122 (2006) 705-760 We study the chromatic polynomial P_G(q) for m \times n square- and triangular-lattice strips of widths 2\leq m \leq 8 with cyclic boundary conditions. This polynomial gives the zero-temperature limit of the partition function for the antiferromagnetic q-state Potts model defined on the lattice G.

Stephan Mertens 1, Marc Mezard 2, Riccardo Zecchina 3 Random Structures and Algorithms 28 (2006) 340-373 Using the cavity equations of \cite{mezard:parisi:zecchina:02,mezard:zecchina:02}, we derive the various threshold values for the number of clauses per variable of the random $K$-satisfiability problem, generalizing the previous results to $K \ge 4$. We also give an analytic solution of the equations, and some closed expressions

Nechaev, S.K., Vasilyev, O.A. Series on Knots and Everything 36 (2006) (22) 421-473

Satya N. Majumdar 1, Olivier C. Martin 1 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 74 (2006) 061112 We consider random energy landscapes constructed from d-dimensional lattices or trees. The distribution of the number of local minima in such landscapes follows a large deviation principle and we derive the associated law exactly for dimension 1. Also of

M. H. Ernst, E. Trizac 1, A. Barrat 2 Europhysics Letters (EPL) 76 (2006) 56 Within the framework of the homogeneous non-linear Boltzmann equation, we present a new analytic method, without the intrinsic limitations of existing methods, for obtaining asymptotic solutions. This method permits extension of existing results for Maxwell molecules and hard spheres to large classes of particle interactions,