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math.PR2026
Holder continuity of interfaces for scale-invariant Poisson stick soup
Augusto Teixeira, Daniel Ungaretti
We study the interface of covered and vacant sets in the subcritical phase of a scale-invariant Poisson stick soup on the plane. This model is a natural candidate for scaling limit…
math.PR2025
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
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…