Christopher Hoffman

most citedRecurrence of Simple Random Walk on

Z^{2}

is Dynamically Sensitive

2 citations · 2 across the 4 of their papers we have counts for

collaborators

4 papers

math.PR2005

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…

math.PR2005★ 2 cited

Recurrence of Simple Random Walk on $Z^{2}$ 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…

math.DS2004

Uniform endomorphisms which are isomorphic to a Bernoulli shift

Christopher Hoffman, Daniel Rudolph

A {\it uniformly $p$ -to-one endomorphism} is a measure-preserving map with entropy log $p$ which is almost everywhere $p$ -to-one and for which the conditional expectation of each p…

math.DS2004

Rational maps are $d$ -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…

Tail Bounds for the Stable Marriage of Poisson and Lebesgue

Recurrence of Simple Random Walk on Z2 is Dynamically Sensitive

Uniform endomorphisms which are isomorphic to a Bernoulli shift

Rational maps are d-adic Bernoulli

Recurrence of Simple Random Walk on $Z^{2}$ is Dynamically Sensitive

Rational maps are $d$ -adic Bernoulli