21 citations · 54 across the 16 of their papers we have counts for
10 papers · 1 filter
Drift and joint minimal displacement for groups acting on hyperbolic spaces
Koji Fujiwara, Ryokichi Tanaka
We obtain a uniform lower bound for the drift of random walks on hyperbolic spaces in terms of joint minimal displacement. Our main theorem applies to weakly acylindrical actions o…
Non-noise sensitivity for word hyperbolic groups
Ryokichi Tanaka
We show that non-elementary random walks on word hyperbolic groups with finite first moment are not noise sensitive in a strong sense for small noise parameters.
Glauber-Exclusion dynamics : rapid mixing regime
Ryokichi Tanaka, Kenkichi Tsunoda
We show that for any attractive Glauber-Exclusion process on the one-dimensional lattice of size with periodic boundary condition, if the corresponding hydrodynamic limit equat…
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…
Dimension of harmonic measures in hyperbolic spaces
Ryokichi Tanaka
We show exact dimensionality of harmonic measures associated with random walks on groups acting on a hyperbolic space under finite first moment condition, and establish the dimensi…
Random Dirichlet series arising from records
Ron Peled, Yuval Peres, Jim Pitman +1
We study the distributions of the random Dirichlet series with parameters defined by where is a sequence of independent…
A note on a local ergodic theorem for an infinite tower of coverings
Ryokichi Tanaka
This is a note on a local ergodic theorem for a symmetric exclusion process defined on an infinite tower of coverings, which is associated with a finitely generated residually fini…
Hausdorff spectrum of harmonic measure
Ryokichi Tanaka
For every non-elementary hyperbolic group, we show that for every random walk with finitely supported admissible step distribution, the associated entropy equals the drift times th…
Discrete random walks on the group Sol
Jérémie Brieussel, Ryokichi Tanaka
The harmonic measure on the boundary of the group associated to a discrete random walk of law was described by Kaimanovich. We investigate when it is absolutely conti…
Hydrodynamic limit for weakly asymmetric simple exclusion processes in crystal lattices
Ryokichi Tanaka
We investigate the hydrodynamic limit for weakly asymmetric simple exclusion processes in crystal lattices. We construct a suitable scaling limit by using a discrete harmonic map.…