Topological entropy for noncompact sets-Reference-Cited by-同舟云学术

Topological entropy for noncompact sets

Published:1973 Issue:0 Volume:184 Page:125-136
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Bowen Rufus

Abstract

For f : X → X f:X \to X continuous and Y ⊂ X Y \subset X a topological entropy h ( f , Y ) h(f,Y) is defined. For X compact one obtains results generalizing known theorems about entropy for compact Y and about Hausdorff dimension for certain Y ⊂ X = S 1 Y \subset X = {S^1} . A notion of entropy-conjugacy is proposed for homeomorphisms.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1973-184-00/S0002-9947-1973-0338317-X/S0002-9947-1973-0338317-X.pdf

Reference21 articles.

1. Topological entropy;Adler, R. L.;Trans. Amer. Math. Soc.,1965

2. Memoirs of the American Mathematical Society, No. 98;Adler, Roy L.,1970

3. Hausdorff dimension in probability theory;Billingsley, Patrick;Illinois J. Math.,1960

4. Entropy for group endomorphisms and homogeneous spaces;Bowen, Rufus;Trans. Amer. Math. Soc.,1971

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