Convergence rate for homogenization of a nonlocal model with oscillating coefficients

TL;DR

This paper establishes the convergence rate for homogenizing a nonlocal Levy-type model with oscillating coefficients, facilitating efficient analysis of escape phenomena in stochastic systems with non-Gaussian Levy noise.

Contribution

It provides the first derivation of an effective homogenized model with a specific convergence rate for nonlocal Levy-type operators with oscillating coefficients.

Findings

Derived an effective homogenized model with convergence rate

Enabled efficient simulation of escape phenomena

Enhanced understanding of non-Gaussian Levy noise effects

Abstract

This letter deals with homogenization of a nonlocal model with Levy-type operator of rapidly oscillating coefficients. This nonlocal model describes mean residence time and other escape phenomena for stochastic dynamical systems with non-Gaussian Levy noise. We derive an effective model with a specific convergence rate. This enables efficient analysis and simulation of escape phenomena under non-Gaussian fluctuations.