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math.PR2024
Poisson genericity in numeration systems with exponentially mixing probabilities
Nicolás Álvarez, Verónica Becher, Eda Cesaratto +3
We define Poisson genericity for infinite sequences in any finite or countable alphabet with an invariant exponentially-mixing probability measure. A sequence is Poisson generic if…
math.PR2024
Speed of random walk on dynamical percolation in nonamenable transitive graphs
Chenlin Gu, Jianping Jiang, Yuval Peres +3
Let be a nonamenable transitive unimodular graph. In dynamical percolation, every edge in refreshes its status at rate , and following the refresh, each edge is open i…
math.PR2024
Random walk on dynamical percolation in Euclidean lattices: separating critical and supercritical regimes
Chenlin Gu, Jianping Jiang, Yuval Peres +3
We study the random walk on dynamical percolation of (resp., the two-dimensional triangular lattice ), where each edge (resp., each site) can be either…