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math.CO2021
Excessive symmetry can preclude cutoff
Eric Ramos, Graham White
For each , let denote the Kneser Graph; that whose vertices are labeled by -element subsets of , and whose edges indicate that the corresponding subsets…
math.PR2021
Monotonicity for continuous-time random walks
Russell Lyons, Graham White
Consider continuous-time random walks on Cayley graphs where the rate assigned to each edge depends only on the corresponding generator. We show that the limiting speed is monotone…