36 citations · 196 across the 30 of their papers we have counts for
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math.PR2015★ 6 cited
The power of averaging at two consecutive time steps: Proof of a mixing conjecture by Aldous and Fill
Jonathan Hermon, Yuval Peres
Let be an irreducible reversible discrete time Markov chain on a finite state space . Denote its transition matrix by . To avoid periodicity issues…
math.PR2015★ 8 cited
Total Variation and Separation Cutoffs are not equivalent and neither one implies the other
Jonathan Hermon, Hubert Lacoin, Yuval Peres
The cutoff phenomenon describes the case when an abrupt transition occurs in the convergence of a Markov chain to its equilibrium measure. There are various metrics which can be us…
math.PR2015
A technical report on hitting times, mixing and cutoff
Jonathan Hermon
Consider a sequence of continuous-time irreducible reversible Markov chains and a sequence of initial distributions, . The sequence is said to exhibit -cutoff if the conv…