3 papers
math.DG2019
Uniformizing surfaces via discrete harmonic maps
Toru Kajigaya, Ryokichi Tanaka
We show that for any closed surface of genus greater than one and for any finite weighted graph filling the surface, there exists a hyperbolic metric which realizes the least Diric…
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
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…