Simplicial Dynamical Systems (eBook)

Ethan Akin (Autor)

eBook Download: PDF

197 Seiten
American Mathematical Society (Verlag)
978-1-4704-0258-7 (ISBN)

Infos

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.

Produkt-Details

• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
• ISBN-10: 1-4704-0258-0 / 1470402580
• ISBN-13: 978-1-4704-0258-7 / 9781470402587