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math.DS2010
Inverses, Powers and Cartesian products of topologically deterministic maps
Michael Hochman, Artur Siemaszko
We show that if (X,T) is a topological dynamical system with is deterministic in the sense of Kamiski, Siemaszko and Szymaski then T^{-1} and the product system need not be determi…
math.DS2010★ 4 cited
Counting Berg partitions
Artur Siemaszko, Maciej P. Wojtkowski
We call a Markov partition of a two dimensional hyperbolic toral automorphism a Berg partition if it contains just two rectangles. We describe all Berg partitions for a given hyper…