6 citations · 15 across the 11 of their papers we have counts for
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math.DS2012
Counting Berg partitions via Sturmian words and substitution tilings
Artur Siemaszko, Maciej P. Wojtkowski
We develop the connection of Berg partitions with special substitution tilings of two tiles. We obtain a new proof that the number of Berg partitions with a fixed connectivity matr…
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…