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Simplicial Dynamical Systems Book PDF Summary

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.

Detail Book of Simplicial Dynamical Systems PDF

Simplicial Dynamical Systems
  • Author : Ethan Akin
  • Release : 29 June 1999
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821813836
  • Genre : Mathematics
  • Total Page : 197 pages
  • Language : English
  • PDF File Size : 10,6 Mb

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Simplicial Dynamical Systems

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