Scaling limit of the step-reinforced and stochastic Levy--Lorentz model on weakly entangled integer lattice

Fuente: arXiv
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Autor principal: Chen, Jiaming
Formato: Preprint
Publicado: 2026
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author Chen, Jiaming
author_facet Chen, Jiaming
contents This paper describes the stochastic Levy--Lorentz gas driven by general long-range reference random walk on correlated and entangled random medium. Further consideration has been laid on the stochastic reinforcement of the underlying random walk, where it now possesses memory. Central limit theorems are obtained in both cases.
format Preprint
id arxiv_https___arxiv_org_abs_2602_04282
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Scaling limit of the step-reinforced and stochastic Levy--Lorentz model on weakly entangled integer lattice
Chen, Jiaming
Probability
This paper describes the stochastic Levy--Lorentz gas driven by general long-range reference random walk on correlated and entangled random medium. Further consideration has been laid on the stochastic reinforcement of the underlying random walk, where it now possesses memory. Central limit theorems are obtained in both cases.
title Scaling limit of the step-reinforced and stochastic Levy--Lorentz model on weakly entangled integer lattice
topic Probability
url https://arxiv.org/abs/2602.04282