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