371 citations · 3.6k across the 151 of their papers we have counts for
4 papers · 1 filter
Random walk on Bethe lattice and hyperbolic geometry
Cecile Monthus, Chistophe Texier
We give the exact solution to the problem of a random walk on the Bethe lattice through a mapping on an asymmetric random walk on the half-line. We also study the continuous limit…
ON A DYNAMICAL MODEL OF GLASSES
Jean-Philippe Bouchaud, Alain Comtet, Cécile Monthus
We analyze a simple dynamical model of glasses, based on the idea that each particle is trapped in a local potential well, which itself evolves due to hopping of neighbouring parti…
DIFFUSION IN ONE DIMENSIONAL RANDOM MEDIUM AND HYPERBOLIC BROWNIAN MOTION
Alain COMTET, Cecile MONTHUS
Classical diffusion in a random medium involves an exponential functional of Brownian motion. This functional also appears in the study of Brownian diffusion on a Riemann surface o…
Localization Properties in One Dimensional Disordered Supersymmetric Quantum Mechanics
A. Comtet, J. Desbois, C. Monthus
A model of localization based on the Witten Hamiltonian of supersymmetric quantum mechanics is considered. The case where the superpotential is a random telegraph process is…