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.
Characters of symmetric groups: sharp bounds on virtual degrees and the W itten zeta function
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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.