17 citations · 29 across the 8 of their papers we have counts for
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math.PR2010★ 17 cited
The probability of long cycles in interchange processes
Gil Alon, Gady Kozma
We examine the number of cycles of length k in a permutation, as a function on the symmetric group. We write it explicitly as a combination of characters of irreducible representat…
math.PR2010★ 2 cited
Ordering the representations of S_n using the interchange process
Gil Alon, Gady Kozma
Inspired by Aldous' conjecture for the spectral gap of the interchange process and its recent resolution by Caputo, Liggett and Richthammer, we define an associated order on the ir…