Work

A Local Limit Theorem for a Random Walk in an Intermittent Dynamical Environment

Year: 2026

Type: article

Abstract: We study an extended dynamical system on the non-negative real line with piecewise linear non-uniformly expanding local dynamics. With a uniformly distributed initial state, the distribution of successive states coincides with that of a random walk in an inhomogeneous environment. Under suitable conditions on the environment, we establish a central limit theorem and a (non-Gaussian) local limit theorem for the walk. Our approach builds on the work of Leskelä and Stenlund (Stochastic Process Appl 121(12), 2011), who analyzed a corresponding model with uniformly expanding local dynamics.

Source: Journal of Theoretical Probability

DOI: 10.1007/s10959-025-01478-x

Author: Juho Leppänen

Institution: Tokai University

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funder: Japan Society for the Promotion of Science