DIFFUSION IN A ONE-DIMENSIONAL RANDOM MEDIUM AND HYPERBOLIC BROWNIAN-MOTION

Authors
COMTET A MONTHUS C
Citation
A. Comtet et C. Monthus, DIFFUSION IN A ONE-DIMENSIONAL RANDOM MEDIUM AND HYPERBOLIC BROWNIAN-MOTION, Journal of physics. A, mathematical and general, 29(7), 1996, pp. 1331-1345
Citations number
44
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
29
Issue
7
Year of publication
1996
Pages
1331 - 1345
Database
ISI
SICI code
0305-4470(1996)29:7<1331:DIAORM>2.0.ZU;2-C
Abstract
Classical diffusion in a random medium involves an exponential functio nal of Brownian motion. This functional also appears in the study of B rownian diffusion on a Riemann surface of constant negative curvature. We analyse in detail this relationship and study various distribution s using stochastic calculus and functional integration.