Large deviations principle for terminating multidimensional compound renewal processes with application to polymer pinning models

TL;DR

This paper establishes a large deviations principle for terminating multidimensional compound renewal processes and explores their asymptotic behavior under Gibbs measure changes, with applications to polymer pinning models.

Contribution

It introduces a large deviations framework for complex renewal processes and analyzes their asymptotics under measure transformations, advancing understanding in polymer physics.

Findings

Large deviations principle derived for multidimensional processes.

Asymptotic behavior characterized under Gibbs measure change.

Applications demonstrated in polymer pinning models.

Abstract

Large deviations principle is obtained for terminating multidimensional compound renewal processes. We also obtained the asymptotic of large deviations for the case when a Gibbs change of the original probability measure takes place. The random processes mentioned in the paper are widely used in polymer pinning models.