Abstract
I present a construction of Markov partitions related to a statistical description of a class of hyperbolic dynamical systems of ℝ2 with singularities, through a general algorithm. This construction, correct, in contrast to previous attempts, applies in particular to billiards problems, yielding an easy-to-handle Markov partition; as an application, the incorrectness of a lemma of Bunimovich and Sinai (which was known to need improvement) is made clear.
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Lévy, YE. A note on Sinaï and Bunimovich's Markov partition for billiards. J Stat Phys 45, 63–68 (1986). https://doi.org/10.1007/BF01033077
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DOI: https://doi.org/10.1007/BF01033077