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Simplicial Dynamical Systems

Simplicial Dynamical Systems PDF Author: Ethan Akin
Publisher: American Mathematical Soc.
ISBN: 0821813838
Category : Mathematics
Languages : en
Pages : 215

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Book Description
A simplicial dynamical system is a simplicial map $g: K DEGREES* \rightarrow K$ where $K$ is a finite simplicial complex triangulating a compact polyhedron $X$ and $K DEGREES*$ is a proper subdivision of $K$, for example, the barycentric or any further subdivision. the dynamics of the asociated piecewise linear map $g: X X$ can be analyzed by using certain naturally related subshifts of finite type. Any continous map on $X$ can be $C DEGREES0$ approximated by such systems. Other examples yield interesting