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Simplicial Dynamical Systems (Memoirs of the AMS) (Memoirs of the American Mathematical Society)

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Description

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.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
02 September 1999
Listed Since
17 October 2006

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