Anomalous behaviour for the random corrections to the cumulants of random walks in fluctuating random media |
| |
Authors: | MS Bernabei |
| |
Institution: | (1) Dipartimento di Matematica e Fisica, Universitá di Camerino, Via Madonna delle Carceri, 9, 62032 Camerino, Italy. e-mail: bernabei@wiener.iam.uni-bonn.de, IT |
| |
Abstract: | The Central Limit Theorem for a model of discrete-time random walks on the lattice ℤν in a fluctuating random environment was proved for almost-all realizations of the space-time nvironment, for all ν > 1 in
BMP1] and for all ν≥ 1 in BBMP]. In BMP1] it was proved that the random correction to the average of the random walk for
ν≥ 3 is finite. In the present paper we consider the cases ν = 1,2 and prove the Central Limit Theorem as T→∞ for the random correction to the first two cumulants. The rescaling factor for theaverage is for ν = 1 and (ln T), for ν=2; for the covariance it is , ν = 1,2.
Received: 25 November 1999 / Revised version: 7 June 2000 / Published online: 15 February 2001 |
| |
Keywords: | Mathematics Subject Classification (2000): 60J15 60F05 60G60 82B41 |
本文献已被 SpringerLink 等数据库收录! |
|