Simplicial dynamical systems
著者
書誌事項
Simplicial dynamical systems
（Memoirs of the American Mathematical Society, no. 667）
American Mathematical Society, 1999
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注記
"July 1999, volume 140, number 667 (first of 4 numbers)" -- T.p
Includes bibliographical references (p. 192-194) and index
内容説明・目次
内容説明
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.
目次
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.
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