Memoirs of the American Mathematical Society 1999; 197 pp; softcover Volume: 140 ISBN10: 0821813838 ISBN13: 9780821813836 List Price: US$60 Individual Members: US$36 Institutional Members: US$48 Order Code: MEMO/140/667
 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. Readership Graduate students and research mathematicians working in topological dynamics. Table of 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
