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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Pith papers citing it
years
2026 3verdicts
UNVERDICTED 3representative citing papers
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.
citing papers explorer
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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.
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The Cutoff Profile for Random Transpositions on Repeated Cards in the Full Range of Parameters
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.
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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.