Maximizing measures for endomorphisms of the circle

and

Published 12 September 2008 • 2008 IOP Publishing Ltd and London Mathematical Society
, , Citation Fábio Armando Tal and Salvador Addas-Zanata 2008 Nonlinearity 21 2347 DOI 10.1088/0951-7715/21/10/008

Download Article PDF

Article metrics

150 Total downloads

Share this article

Author affiliations

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

Dates

  1. Received 17 April 2008
  2. Published

Buy this article in print

Journal RSS
Sign up for new issue notifications
0951-7715/21/10/2347

Abstract

We study a given fixed continuous function and an endomorphism f : S1 → S1, whose f-invariant probability measures maximize . We prove that the set of endomorphisms having a ϕ maximizing invariant measure supported on a periodic orbit is dense.

Export citation and abstract BibTeX RIS

Previous article in issue
Next article in issue

Recommended by M Tsujii

10.1088/0951-7715/21/10/008