81 citations · 673 across the 80 of their papers we have counts for
4 papers · 1 filter
Markov type and threshold embeddings
Jian Ding, James R. Lee, Yuval Peres
For two metric spaces X and Y, say that X {threshold-embeds} into Y if there exist a number K > 0 and a family of Lipschitz maps such that for every $x,y…
Extreme values for two-dimensional discrete Gaussian free field
Jian Ding, Ofer Zeitouni
We consider in this paper the collection of near maxima of the discrete, two dimensional Gaussian free field in a box with Dirichlet boundary conditions. We provide a rough descrip…
Glauber Dynamics for the mean-field Potts Model
Paul Cuff, Jian Ding, Oren Louidor +3
We study Glauber dynamics for the mean-field (Curie-Weiss) Potts model with states and show that it undergoes a critical slowdown at an inverse-temperature stric…
Anatomy of the giant component: The strictly supercritical regime
Jian Ding, Eyal Lubetzky, Yuval Peres
In a recent work of the authors and Kim, we derived a complete description of the largest component of the Erdős-Rényi random graph as it emerges from the critical window,…