most citedCommuting time geometry of ergodic Markov chains

6 citations · 7 across the 3 of their papers we have counts for

collaborators

3 papers

math.SP2017

Blowing bubbles on the torus

Peter Doyle, Jean Steiner

We consider the regularized trace of the inverse of the Laplacian on a skinny torus. With its flat metric, a skinny torus has large trace, but we show that there are conformally eq…

math.SP2017★ 1 cited

Spectral invariants and playing hide-and-seek on surfaces

Peter G. Doyle, Jean Steiner

We prove the expected duration of a game of hide-and-seek played on a Riemannian manifold under the laws of Brownian Motion is a spectral invariant: it is a zeta-regularized versio…

math.PR2011★ 6 cited

Commuting time geometry of ergodic Markov chains

Peter G. Doyle, Jean Steiner

We show how to map the states of an ergodic Markov chain to Euclidean space so that the squared distance between states is the expected commuting time. We find a minimax characteri…