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math.PR2001
Building a Stationary Stochastic Process From a Finite-dimensional Marginal
Marcus Pivato
If A is a finite alphabet, Z^D is a D-dimensional lattice, U is a subset of Z^D, and mu_U is a probability measure on A^U that ``looks like'' the marginal projection of a stationar…
math.DS2001
Multiplicative Cellular Automata on Nilpotent Groups: Structure, Entropy, and Asymptotics
Marcus Pivato
If M is a monoid (e.g. the lattice Z^D), and G is a finite (nonabelian) group, then G^M is a compact group; a `multiplicative cellular automaton' (MCA) is a continuous transformati…