3 papers
math.PR2024
Random Markov property for random walks in random environments
Julien Allasia, Rangel Baldasso, Oriane Blondel +1
We consider random walks in dynamic random environments and propose a criterion which, if satisfied, allows to decompose the random walk trajectory into i.i.d. increments, and ulti…
math.PR2023
Asymptotic direction of a ballistic random walk in a two-dimensional random environment with nonuniform mixing
Julien Allasia
In this paper, we study random walks evolving with a directional bias in a two-dimensional random environment with correlations that vanish polynomially. Using renormalization meth…
math.PR2023
Law of large numbers for a finite-range random walk in a dynamic random environment with nonuniform mixing
Julien Allasia
In this paper, we study random walks evolving on Z in a dynamic random environment that we assume to have time correlations that decrease polynomially fast. We show a law of large…