Hamiltonians on random walk trajectories

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:78

Article

Ferrari, PA ; Martinez, S

关键词: solid on solid models;    entropic repulsion;    pinning surfaces;    interface;    random walks;   

DOI  :  10.1016/S0304-4149(98)00052-0

来源: Elsevier

【 摘 要 】

We consider Gibbs measures on the set of paths of nearest-neighbors random walks on Z(+). The basic measure is the uniform measure on the set of paths of the simple random walk on Z(+) and the Hamiltonian awards each visit to site x is an element of Z(+) by an amount alpha(x) is an element of R, x is an element of Z(+). We give conditions on (alpha(x)) that guarantee the existence of the (infinite volume) Gibbs measure. When comparing the measures in Z(+) with the corresponding measures in Z, the so-called entropic repulsion appears as a counting effect. (C) 1998 Elsevier Science B.V. All rights reserved.

【 授权许可】

Free