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Finitely presented dynamical systems

Published online by Cambridge University Press:  19 September 2008

David Fried
David Fried
Affiliation:
Department of Mathematics, Boston University, 111 Cummington Street, Boston, MA 02215, USA
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Abstract

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We extend results of Bowen and Manning on systems with good symbolic dynamics. In particular we identify the class of dynamical systems that admit Markov partitions. For these systems the Manning-Bowen method of counting periodic points is explained in terms of topological coincidence numbers. We show, in particular, that an expansive system with a finite cover by rectangles has a rational zeta function.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 7 , Issue 4 , December 1987 , pp. 489 - 507
Copyright
Copyright © Cambridge University Press 1987

References

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