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math.DS2004
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…
math.DS2004
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…
math.PR2004
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…