Work

Limit laws for random walk in a dynamic path-cone mixing random environment

Year: 2025

Type: article

Abstract: We study the asymptotic behaviour of a random walk whose evolution is dependent on the state of an itself dynamically evolving environment. Assuming that the environment decorrelates with time by satisfying the “path-cone”-mixing property introduced in [8, Bethuelsen and Völlering], we prove a strong law of large numbers and large deviation estimates. Moreover, under a mild assumption on the decay rate of this mixing property, we obtain a functional central limit theorem under the annealed law.

Source: Electronic Communications in Probability

DOI: 10.1214/25-ecp683

Authors: Stein Andreas Bethuelsen, Florian Völlering

Institutions: University of Bergen, Leipzig University

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $675

OpenAlex ID: W4409305415