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math.PR2026
Aldous-type Spectral Gaps in Unitary Groups
Gil Alon, Doron Puder
Aldous' spectral gap conjecture, proven by Caputo, Liggett and Richthammer, states the following: for any set of transpositions in the symmetric group , the spectr…
math.PR2024
An extension of the cogrowth formula to arbitrary subsets of the tree
Doron Puder
What is the probability that a random walk in the free group ends in a proper power? Or in a primitive element? We present a formula that computes the exponential decay rate of the…