Geodesic
Stretching the Oxtoby-Ulam Theorem
Colloquium Mathematicum, Tome 84 (2000) no. 1, pp. 83-94.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

On a manifold X of dimension at least two, let μ be a nonatomic measure of full support with μ(∂X) = 0. The Oxtoby-Ulam Theorem says that ergodicity of μ is a residual property in the group of homeomorphisms which preserve μ. Daalderop and Fokkink have recently shown that density of periodic points is residual as well. We provide a proof of their result which replaces the dependence upon the Annulus Theorem by a direct construction which assures topologically robust periodic points.
DOI : 10.4064/cm-84/85-1-83-94

Ethan Akin 1

1 
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Ethan Akin. Stretching the Oxtoby-Ulam Theorem. Colloquium Mathematicum, Tome 84 (2000) no. 1, pp. 83-94. doi : 10.4064/cm-84/85-1-83-94. http://geodesic.mathdoc.fr/articles/10.4064/cm-84/85-1-83-94/

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