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math.PR2022
Mixing times of a Burnside process Markov chain on set partitions
J. E. Paguyo
Let be a finite set and let be a finite group acting on . The group action splits into disjoint orbits. The Burnside process is a Markov chain on which has a uni…
math.PR2022
Cycle structure of random parking functions
J. E. Paguyo
We initiate the study of the cycle structure of uniformly random parking functions. Using the combinatorics of parking completions, we compute the asymptotic expected value of the…