Cecile Monthus 1, Chistophe Texier 2
Journal of Physics A 29 (1996) 2399-2409
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 of this model, and discuss in detail the relation between the random walk on the Bethe lattice and Brownian motion on a space of constant negative curvature.
- 1. Service de Physique Théorique (SPhT),
CNRS : URA2306 – CEA : DSM/SPHT - 2. Division de Physique Théorique, IPN,
Université Paris XI – Paris Sud