RANDOM-WALK ON THE BETHE LATTICE AND HYPERBOLIC BROWNIAN-MOTION

Authors
MONTHUS C TEXIER C
Citation
C. Monthus et C. Texier, RANDOM-WALK ON THE BETHE LATTICE AND HYPERBOLIC BROWNIAN-MOTION, Journal of physics. A, mathematical and general, 29(10), 1996, pp. 2399-2409
Citations number
15
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
29
Issue
10
Year of publication
1996
Pages
2399 - 2409
Database
ISI
SICI code
0305-4470(1996)29:10<2399:ROTBLA>2.0.ZU;2-7
Abstract
We give the exact solution to the problem of a random walk on the Beth e lattice through a mapping on an asymmetric random walk on the half-l ine. We also study the continuous limit of this model, and discuss in detail the relation between the random walk on the Bethe lattice and B rownian motion on a space of constant negative curvature.