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Nature of the glassy phase of RNA secondary structure

Florent Krzakala 1, Marc Mézard 1, Markus Muller 1 Europhysics Letters (EPL) 57 (2002) 752-758 We characterize the low temperature phase of a simple model for RNA secondary structures by determining the typical energy scale E(l) of excitations involving l bases. At zero temperature, we find a scaling law E(l) \sim l^\theta with \theta \approx 0.23, and this same scaling holds […]

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Monochromatic path crossing exponents and graph connectivity in 2D percolation

Jesper-Lykke Jacobsen 1, Paul Zinn-Justin 1 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 66 (2002) 055102 We consider the fractal dimensions d_k of the k-connected part of percolation clusters in two dimensions, generalizing the cluster (k=1) and backbone (k=2) dimensions. The codimensions X_k = 2-d_k describe the asymptotic decay of the probabilities P(r,R) ~ (r/R)^{X_k} that an

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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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