292 citations
- University of California, DavisUS14 papers
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Showing 2003 · math.PRShow all
3 papers · 2 filters
math.PR2003★ 91 cited
Differential Equations for Dyson Processes
Craig A. Tracy, Harold Widom
We call "Dyson process" any process on ensembles of matrices in which the entries undergo diffusion. We are interested in the distribution of the eigenvalues (or singular values) o…
math.PR2003
Glauber Dynamics On The Cycle Is Monotone
Serban Nacu
We study heat-bath Glauber dynamics for the ferromagnetic Ising model on a finite cycle (a graph where every vertex has degree two). We prove that the relaxation time is an i…
math.PR2003
Evolving sets, mixing and heat kernel bounds
Ben Morris, Yuval Peres
We show that a new probabilistic technique, recently introduced by the first author, yields the sharpest bounds obtained to date on mixing times of Markov chains in terms of isoper…