21 citations · 54 across the 16 of their papers we have counts for
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math.PR2018
Cutoff for product replacement on finite groups
Yuval Peres, Ryokichi Tanaka, Alex Zhai
We analyze a Markov chain, known as the product replacement chain, on the set of generating -tuples of a fixed finite group . We show that as , the tota…
cond-mat.soft2018★ 10 cited
Solitons in one-dimensional mechanical linkage
Koji Sato, Ryokichi Tanaka
It has been observed that certain classical chains admit topologically protected zero-energy modes that are localized on the boundaries. The static features of such localized modes…