Maximizing measures for endomorphisms of the circle


Autoria(s): TAL, Fabio Armando; ADDAS-ZANATA, Salvador
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

20/10/2012

20/10/2012

2008

Resumo

We study a given fixed continuous function phi : S(1) -> R and an endomorphism f : S(1)-> S(1), whose f-invariant probability measures maximize integral phi d mu. We prove that the set of endomorphisms having a f maximizing invariant measure supported on a periodic orbit is C(0) dense.

CNPq[301485/03-8]

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

CNPq[304360/05-8]

Identificador

NONLINEARITY, v.21, n.10, p.2347-2359, 2008

0951-7715

http://producao.usp.br/handle/BDPI/30565

10.1088/0951-7715/21/10/008

http://dx.doi.org/10.1088/0951-7715/21/10/008

Idioma(s)

eng

Publicador

IOP PUBLISHING LTD

Relação

Nonlinearity

Direitos

restrictedAccess

Copyright IOP PUBLISHING LTD

Palavras-Chave #ERGODIC OPTIMIZATION #Mathematics, Applied #Physics, Mathematical
Tipo

article

original article

publishedVersion