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Satya N. Majumdar 1, Alain Comtet 2, 3 Physical Review Letters 89 (2002) 060601 We consider a particle moving in a one dimensional potential which has a symmetric deterministic part and a quenched random part. We study analytically the probability distributions of the local time (spent by the particle around its mean value) and the occupation time (spent above its mean […]

Jesper-Lykke Jacobsen 1, Paul Zinn-Justin 1 NATO Science series II: Mathematics, physics and chemistry 73 (2002) 33-45 We study the enumeration of alternating links and tangles, considered up to topological (flype) equivalences. A weight $n$ is given to each connected component, and in particular the limit $n\to 0$ yields information about (alternating) knots. Using a finite renormalization scheme for

Munetaka Sasaki 1, Olivier C. Martin 1, 2 Europhysics Letters (EPL) 66 (2002) 316 Temperature chaos is an extreme sensitivity of the equilibrium state to a change of temperature. It arises in several disordered systems that are described by the so called scaling theory of spin glasses, while it seems to be absent in mean field models. We consider a model

Jean-Philippe Bouchaud 1, 2, Marc Mézard 2, 3, Marc Potters 2 Quantitative Finance 2 (2002) 251-256 We investigate several statistical properties of the order book of three liquid stocks of the Paris Bourse. The results are to a large degree independent of the stock studied. The most interesting features concern (i) the statistics of incoming limit order prices, which follows a power-law around

Sofian Teber 1 Journal of Physics: Condensed Matter 14 (2002) 7811-7834 We consider the equilibrium statistical properties of interfaces submitted to competing interactions; a long-range repulsive Coulomb interaction inherent to the charged interface and a short-range, anisotropic, attractive one due to either elasticity or confinement. We focus on one-dimensional interfaces such as strings. Model systems considered for

Marc Mézard 1 Physica A 306 (2002) 25 This paper gives an introduction to some of the statistical physics problems which appear in the study of structural glasses. It is a shortened and updated version of a more detailed review paper which has appeared in cond-mat/0005173. 1. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS), CNRS :

Bogomolny, E., Giraud, O. Nonlinearity 15 (2002) 993-1018

Christophe Texier 1, 2 Journal of Physics A 35 (2002) 3389-3407 We consider the Friedel sum rule in the context of the scattering theory for the Schrödinger operator $-\Dc_x^2+V(x)$ on graphs made of one-dimensional wires connected to external leads. We generalize the Smith formula for graphs. We give several examples of graphs where the state counting method given

Olivier Brodier 1, Peter Schlagheck 1, 2, Denis Ullmo 1 Annals of Physics 300 (2002) 88-136 We present evidence that tunneling processes in near-integrable systems are enhanced due to the manifestation of nonlinear resonances and their respective island chains in phase space. A semiclassical description of this ‘resonance-assisted’ mechanism is given, which is based on a local perturbative description of the dynamics

Raphael Voituriez 1 Nuclear Physics B 621 (2002) 675-688 We study random walks on the three-strand braid group $B_3$, and in particular compute the drift, or average topological complexity of a random braid, as well as the probability of trivial entanglement. These results involve the study of magnetic random walks on hyperbolic graphs (hyperbolic Harper-Hofstadter problem), what