# Simplicial Dynamical Systems (Memoirs of the American Mathematical Society)

Paperback

Up to 2 WeeksUsually despatched within 2 weeks

£57.50

### 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.

### Contents

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.

### Product Details

• ISBN13: 9780821813836
• Format: Paperback
• ID: 9780821813836
• ISBN10: 0821813838

### Delivery Information

• Saver Delivery: Yes
• 1st Class Delivery: Yes
• Courier Delivery: Yes
• Store Delivery: Yes

### Calculus and AnalysisView More

Prices are for internet purchases only. Prices and availability in WHSmith Stores may vary significantly

Close