Simplicial Dynamical Systems

• Author(s): Ethan Akin,
• Publisher: American Mathematical Soc.
• Pages: 197
• ISBN_10: 0821813838
  ISBN_13: 9780821813836
  
• Language: en
• Categories: Mathematics / General , Mathematics / Differential Equations / General ,

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