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Simplicial Dynamical Systems

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Simplicial Dynamical Systems - Akin, Ethan
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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

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Simplicial Dynamical Systems 1999, American Mathematical Society(RI)

ISBN-13: 9780821813836

Hardcover