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.
Arcona,Representation theory and cycle statistics for random walks on the symmetric group,https://arxiv
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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.