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Markov partitions for the two-dimensional torus
1991
Proceedings of the American Mathematical Society
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We examine Markov partitions for hyperbolic automorphisms of T in the spirit of Adler, Weiss, and others and give necessary conditions on the transition matrix of a Markov partition for a given automorphism. We give necessary and sufficient conditions for partitions with two connected rectangles.
doi:10.1090/s0002-9939-1991-1076579-0
fatcat:52ffei53kvcztpu4cngpdo5d5q