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.
Olesker-Taylor, L
3 Pith papers cite this work. Polarity classification is still indexing.
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2026 3verdicts
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The cutoff profile for random transpositions on repeated cards is asymptotically Gaussian for growing multiplicity l, with explicit forms depending on whether the number of types m is fixed or grows.
Constructs an analog of Brownian motion on free reflection quantum groups and computes its cutoff profile.
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Brownian motion on reflection quantum groups. Construction and cutoff
Constructs an analog of Brownian motion on free reflection quantum groups and computes its cutoff profile.