Work

A connection between the random pinning model and random walks in sparse random environments

Year: 2025

Type: article

Abstract: The purpose of this paper is to establish a connection between a one‐dimensional random walk in a random sparse environment and the random pinning model. We show that the grand canonical partition function of the pinning model coincides with the mean number of returns to the origin for a random walk in a random sparse environment averaged over the randomness location. We obtain thereof some information on the integrability of the number of return times in the annealed and partially annealed setups.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.70217

Author: Julien Poisat

Institutions: Centre National de la Recherche Scientifique, Centre de Recherche en Mathématiques de la Décision, Université Paris Sciences et Lettres, Université Paris Dauphine-PSL

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

Funder: Agence Nationale de la Recherche