On maximizing measures of homeomorphisms on compact manifolds

Fábio Armando Tal, and Salvador Addas-Zanata. "On maximizing measures of homeomorphisms on compact manifolds." Fundamenta Mathematicae 200.2 (2008): 145-159. <http://eudml.org/doc/283037>.

@article{FábioArmandoTal2008,
abstract = {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.},
author = {Fábio Armando Tal, Salvador Addas-Zanata},
journal = {Fundamenta Mathematicae},
keywords = {periodic orbits; cocycles; Minkowski function; sources},
language = {eng},
number = {2},
pages = {145-159},
title = {On maximizing measures of homeomorphisms on compact manifolds},
url = {http://eudml.org/doc/283037},
volume = {200},
year = {2008},
}

TY - JOUR
AU - Fábio Armando Tal
AU - Salvador Addas-Zanata
TI - On maximizing measures of homeomorphisms on compact manifolds
JO - Fundamenta Mathematicae
PY - 2008
VL - 200
IS - 2
SP - 145
EP - 159
AB - 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.
LA - eng
KW - periodic orbits; cocycles; Minkowski function; sources
UR - http://eudml.org/doc/283037
ER -