Proves Poissonian cutoff profiles for conjugacy-invariant random walks on symmetric groups with macroscopic fixed points and cutoff for random involution walks using character asymptotics.
Arcona,Representation theory and cycle statistics for random walks on the symmetric group,https://arxiv
2 Pith papers cite this work. Polarity classification is still indexing.
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math.PR 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Limit theorems are proved for fixed points, descents, and inversions under iterated random-to-top shuffles, with new combinatorial proofs resolving open questions on expectations.
citing papers explorer
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Cutoff profiles for conjugacy invariant random walks on symmetric groups
Proves Poissonian cutoff profiles for conjugacy-invariant random walks on symmetric groups with macroscopic fixed points and cutoff for random involution walks using character asymptotics.
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On the statistics of random-to-top shuffles
Limit theorems are proved for fixed points, descents, and inversions under iterated random-to-top shuffles, with new combinatorial proofs resolving open questions on expectations.