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.
Fixed points of non-uniform permutations and representation theory of the symmetric group
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.