Christopher Hoffman

Anomalous heat-kernel decay for random walk among bounded random conductances

We consider the nearest-neighbor simple random walk on

Coexistence for Richardson type competing spatial growth models

\Z^d

Geodesics in first passage percolation

,

Uniform endomorphisms which are isomorphic to a Bernoulli shift

d\ge2

From transience to recurrence with Poisson tree frogs

, driven by a field of bounded random conductances

Recurrence and transience for the frog model on trees

\omega_{xy}\in[0,1]

The Threshold for Integer Homology in Random d-Complexes

. The conductance law is i.i.d. subject to the condition that the probability of

Tail Bounds for the Stable Marriage of Poisson and Lebesgue

\omega_{xy}>0

Rational maps are d-adic Bernoulli

exceeds the threshold for bond percolation on

Pattern-avoiding permutations and Brownian excursion part I: Shapes and fluctuations

\Z^d