Counting Berg partitions
Dynamical Systems
2015-05-19 v1
Abstract
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).
Keywords
Cite
@article{arxiv.1007.3984,
title = {Counting Berg partitions},
author = {Artur Siemaszko and Maciej P. Wojtkowski},
journal= {arXiv preprint arXiv:1007.3984},
year = {2015}
}