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.
Schramm,Compositions of random transpositions, Israel Journal of Mathematics147(2005), 221–243
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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.