Simplicial Dynamical Systems

Buch | Softcover

1999
American Mathematical Society (Verlag)
978-0-8218-1383-6 (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.

Inhalt

Introduction Chain recurrence and basic sets Simplicial maps and their local inverses The shift factor maps for a simplicial dynamical system Recurrence and basic set images Invariant measures Generalized simplicial dynamical systems Examples PL roundoffs of a continuous map Nondegenerate maps on manifolds Appendix: Stellar and lunar subdivisions Appendix: Hyperbolicity for relations References Index.

Produkt-Details

• Erscheint lt. Verlag: 30.6.1999
• Reihe/Serie: Memoirs of the American Mathematical Society
• Zusatzinfo: references, index
• Verlagsort: Providence
• Sprache: englisch
• Gewicht: 397 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• ISBN-10: 0-8218-1383-8 / 0821813838
• ISBN-13: 978-0-8218-1383-6 / 9780821813836
• Zustand: Neuware