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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.PR2024
Can one condition a killed random walk to survive?
Lucas Rey, Augusto Teixeira
We consider the simple random walk on killed with probability at site for a function decaying at infinity. Due to recurrence in dimension , the…
math.PR2024
Covering Distributions
Alberto M. Campos, Augusto Teixeira
In this article, we study a covering process of the discrete one-dimensional torus that uses connected arcs of random sizes in the covering. More precisely, fix a distribution μon…