2002

Matrix Integrals and the Counting of Tangles and Links

Paul Zinn-Justin 1, Jean-Bernard Zuber 2 Disc. Math. 246 (2002) 343 Using matrix model techniques for the counting of planar Feynman diagrams, recent results of Sundberg and Thistlethwaite on the counting of alternating tangles and links are reproduced. 1. Laboratoire de Physique Théorique et Hautes Energies (LPTHE), CNRS : UMR7589 – Université Paris VI – Pierre et Marie Curie – Université Paris VII […]

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Lattice Glass Models

Giulio Biroli 1, Marc Mézard 2 Physical Review Letters 88 (2002) 025501 Motivated by the concept of geometrical frustration, we introduce a class of statistical mechanics lattice models for the glass transition. Monte Carlo simulations in three dimensions show that they display a dynamical glass transition which is very similar to that observed in other off-lattice systems and which

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Iterated Local Search

Helena R. Lourenco 1, Olivier C. Martin 2, Thomas Stützle 3 Science Kluwer 57 (2002) 321-353 This is a survey of ‘Iterated Local Search’, a general purpose metaheuristic for finding good solutions of combinatorial optimization problems. It is based on building a sequence of (locally optimal) solutions by: (1) perturbing the current solution; (2) applying local search to that modified solution. At a

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Inhomogeneous Six-Vertex Model with Domain Wall Boundary Conditions and Bethe Ansatz

Vladimir Korepin 1, Paul Zinn-Justin 1 Journal of Mathematical Physics 43 (2002) 3261-3267 In this note, we consider the six-vertex model with domain wall boundary conditions, defined on a $M\times M$ lattice, in the inhomogeneous case where the partition function depends on 2M inhomogeneities $\lambda_j$ and $\mu_k$. For a particular choice of the set of $\lambda_j$ we find a

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First Steps in Glass Theory

Marc Mézard 1 More is different, Ong and Bhatt editors 1 (2002) 1 This paper is an introduction to some of the main present issues in the theory of structural glasses. After recalling a few experimental facts, it gives a short account of the analogy between fragile glasses and the mean field discontinuous spin glasses. The many

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Exact Asymptotic Results for Persistence in the Sinai Model with Arbitrary Drift

Alain Comtet 1, 2, Satya N. Majumdar 3 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 66 (2002) 061105 We obtain exact asymptotic results for the disorder averaged persistence of a Brownian particle moving in a biased Sinai landscape. We employ a new method that maps the problem of computing the persistence to the problem of finding the energy spectrum

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