55 citations · 57 across the 9 of their papers we have counts for
9 papers
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…
Uniform endomorphisms which are isomorphic to a Bernoulli shift
Christopher Hoffman, Daniel Rudolph
A {\it uniformly -to-one endomorphism} is a measure-preserving map with entropy log which is almost everywhere -to-one and for which the conditional expectation of each p…
Rational maps are -adic Bernoulli
D. Heicklen, C. Hoffman
Freire, Lopes and Mane proved that for any rational map f there exists a natural invariant measure μ_f [5]. Mane showed there exists an n>0 such that (f^n, μ_f) is measurably conju…
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…