On maximizing measures of homeomorphisms on compact manifolds

• Autorzy: Fábio Armando Tal , Salvador Addas-Zanata
• Języki publikacji: EN

Abstrakty

EN

We prove that given a compact n-dimensional connected Riemannian manifold X and a continuous function g: X → ℝ, there exists a dense subset of the space of homeomorphisms of X such that for all T in this subset, the integral $∫_X gdμ$, considered as a function on the space of all T-invariant Borel probability measures μ, attains its maximum on a measure supported on a periodic orbit.

Kategorie tematyczne

• 46A55: Convex sets in topological linear spaces; Choquet theory
• 37A05: Measure-preserving transformations
• 37B99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2008
• Tom: 200
• Numer: 2
• Strony: 145-159

Daty

wydano

2008

Twórcy

autor

Fábio Armando Tal

• Instituto de Matemática e Estatística, Universidade de São Paulo, Rua do Matão 1010, Cidade Universitária, 05508-090 São Paulo, SP, Brazil

autor

Salvador Addas-Zanata

• Instituto de Matemática e Estatística, Universidade de São Paulo, Rua do Matão 1010, Cidade Universitária, 05508-090 São Paulo, SP, Brazil

Identyfikatory

DOI

10.4064/fm200-2-3