Article details

Title:: Generating partitions for two-dimensional hyperbolic maps
Authors:: A. Bäcker and N. Chernov
Journal:: Nonlinearity 11 (1998) 79-87
Abstract:: For a class of two-dimensional hyperbolic maps (which includes certain billiard systems) we construct finite generating partitions. Thus trajectories of the map can be labeled uniquely by doubly infinite symbol sequences, where the symbols correspond to the atoms of the partition. It is shown that the corresponding conditions are fulfilled in the case of the cardioid billiard, the stadium billiard (and other Bunimovich billiards), planar dispersing and semi-dispersing billiards.
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(The preprint version of this article can be obtained as
Ulm report ULM-TP/97-3 (February 1997, revised version October 1997))