55 citations · 57 across the 9 of their papers we have counts for
6 papers · 1 filter
Tail Bounds for the Stable Marriage of Poisson and Lebesgue
Christopher Hoffman, Alexander E. Holroyd, Yuval Peres
Let Ξbe a discrete set in R^d. Call the elements of Ξcenters. The well-known Voronoi tessellation partitions R^d into polyhedral regions (of varying volumes) by allocating each sit…
A stable marriage of Poisson and Lebesgue
Christopher Hoffman, Alexander E. Holroyd, Yuval Peres
Let be a discrete set in . Call the elements of centers. The well-known Voronoi tessellation partitions into polyhedral regions (of varying…
Recurrence of Simple Random Walk on is Dynamically Sensitive
Christopher Hoffman
Benjamini, Haggstrom, Peres and Steif introduced the concept of a dynamical random walk. This is a continuous family of random walks, {S_n(t)}. Benjamini et. al. proved that if d=3…
Coexistence for Richardson type competing spatial growth models
Christopher Hoffman
We study a large family of competing spatial growth models. In these the vertices in Z^d can take on three possible states {0,1,2}. Vertices in states 1 and 2 remain in their state…
Nonuniqueness for specifications in
Noam Berger, Christopher Hoffman, Vladas Sidoravicius
For every , we construct a regular and continuous specification (-function), which has a variation sequence that is in and which admits multiple Gibbs measures. Combi…
Mixing times of the biased card shuffling and the asymmetric exclusion process
Itai Benjamini, Noam Berger, Christopher Hoffman +1
Consider the following method of card shuffling. Start with a deck of cards numbered 1 through N. Fix a parameter between 0 and 1. In this model a ``shuffle'' consists of u…