Ryokichi Tanaka

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math.PR2025

Noise sensitivity on virtually abelian groups

Jeremie Brieussel, Ryokichi Tanaka

We show that aperiodic random walks with finite second moment on virtually abelian groups are noise sensitive in total variation if and only if the group admits no nonzero homomorp…

math.PR2025

Noise sensitivity on affine Weyl groups

Ryokichi Tanaka

We show that on every affine Weyl group natural random walks are noise sensitive in total variation.

math.PR2025

Cutoff for congestion dynamics and related generalized exclusion processes

Ryokichi Tanaka

We consider congestion dynamics with $n$ players and $Q$ resources under the constraint that the number of each resource is $I^º$ and that $n < I^º Q$ in the regime that $n$ and $I^º$ di…

math.PR2025

Noise stability on hyperbolic groups

We show that symmetric random walks on non-elementary hyperbolic groups with non-zero homomorphisms into the reals are noise stable at linear scale under finite exponential moment…