Simplicial Dynamical Systems
- ISBN-10
- 0821813838
- ISBN-13
- 9780821813836
- Category
- Mathematics
- Pages
- 197
- Language
- English
- Published
- 1999
- Publisher
- American Mathematical Soc.
- Author
- Ethan Akin
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.
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