Hamiltonians on random walk trajectories

Pablo A. Ferrari and Servet Martínez

Stochastic Processes and their Applications, 1998, vol. 78, issue 1, 47-68

Abstract: We consider Gibbs measures on the set of paths of nearest-neighbors random walks on . The basic measure is the uniform measure on the set of paths of the simple random walk on and the Hamiltonian awards each visit to site by an amount , . We give conditions on ([alpha]x) that guarantee the existence of the (infinite volume) Gibbs measure. When comparing the measures in with the corresponding measures in , the so-called entropic repulsion appears as a counting effect.

Keywords: Solid; on; solid; models; Entropic; repulsion; Pinning; surfaces; Interface; Random; walks (search for similar items in EconPapers)
Date: 1998
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0304-4149(98)00052-0
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:78:y:1998:i:1:p:47-68

Ordering information: This journal article can be ordered from
http://http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Stochastic Processes and their Applications is currently edited by T. Mikosch

More articles in Stochastic Processes and their Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().