Scaling limit of the step-reinforced and stochastic Levy--Lorentz model on weakly entangled integer lattice
Abstract
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.
Fields of Study & Subjects
Stochastic processes and statistical mechanics
Mathematical Dynamics and Fractals
advanced mathematical theories
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 4 February 2026
- Document type
- Preprint