# Simplicial Dynamical Systems - Memoirs of the American Mathematical Society (Paperback)

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Paperback Published: 30/06/1999
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Abstract A - simplicial dynamical system is a simplicial map $g:K^* \rightarrow K$ where $K$ is a finite simplicial complex triangulating a compact polyhedron $X$ and $K^*$ is a proper subdivision of $K$, e.g. the barycentric or any further subdivision. The dynamics of the associated piecewise linear map $g: X X$ can be analyzed by using certain naturally related subshifts of finite type. Any continuous map on $X$ can be $C^0$ approximated by such systems. Other examples yield interesting subshift constructions.

Publisher: American Mathematical Society
ISBN: 9780821813836
Weight: 397 g

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