Counting Berg partitions

Details Counting Berg partitions Counting Berg partitions

2010-07-22

arxiv.org/abs/1007.3984v1

Mathematics

Dynamical Systems

Scientific paper

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 hyperbolic toral automorphism. In particular there are
exactly (k + n + l + m)/2 nonequivalent Berg partitions with the same
connectivity matrix (k, l, m, n).

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