# Finitely presented dynamical systems

@inproceedings{Fried1987FinitelyPD, title={Finitely presented dynamical systems}, author={David Fried}, year={1987} }

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 penodic 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 We first recall some of the theory of expansive homeomorpmsms, as presented for instance in [DGS… CONTINUE READING

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## Resolving Extensions of Finitely Presented Systems

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## Expansive systems on lattices.

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## The degree of Bowen factors and injective codings of diffeomorphisms.

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## Bowen factors, their degree, and codings of surface diffeomorphisms

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## Dynamics of Polynomial Diffeomorphisms of C 2 : Combinatorial and Topological Aspects

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## Order on the homology groups of Smale spaces

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## A Homology Theory for Smale Spaces: A Summary

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## Dynamical correspondences for Smale spaces

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## Expansive Homeomorphisms on non-Hausdorff Spaces

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