55 citations · 314 across the 46 of their papers we have counts for
7 papers · 2 filters
Glauber dynamics for the mean-field Ising model: cut-off, critical power law, and metastability
David A. Levin, Malwina J. Luczak, Yuval Peres
We study the Glauber dynamics for the Ising model on the complete graph, also known as the Curie-Weiss Model. For beta < 1, we prove that the dynamics exhibits a cut-off: the dista…
Poisson Matching
Alexander E. Holroyd, Robin Pemantle, Yuval Peres +1
Suppose that red and blue points occur as independent homogeneous Poisson processes in R^d. We investigate translation-invariant schemes for perfectly matching the red points to th…
Dynamical sensitivity of the infinite cluster in critical percolation
Yuval Peres, Oded Schramm, Jeffrey E. Steif
In dynamical percolation, the status of every bond is refreshed according to an independent Poisson clock. For graphs which do not percolate at criticality, the dynamical sensitivi…
Critical percolation on random regular graphs
Asaf Nachmias, Yuval Peres
We describe the component sizes in critical independent p-bond percolation on a random d-regular graph on n vertices, where d \geq 3 is fixed and n grows. We prove mean-field behav…
Card shuffling and diophantine approximation
Omer Angel, Yuval Peres, David B. Wilson
The ``overlapping-cycles shuffle'' mixes a deck of cards by moving either the th card or the th card to the top of the deck, with probability half each. We determine…
A transient Markov chain with finitely many cutpoints
Nicholas James, Russell Lyons, Yuval Peres
We give an example of a transient reversible Markov chain that almost surely has only a finite number of cutpoints. We explain how this is relevant to a conjecture of Diaconis and…