• JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
 
  Bookmark and Share
 
 
Doctoral Thesis
DOI
10.11606/T.45.2013.tde-15122013-231341
Document
Author
Full name
Tatiane Cardoso Batista
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2013
Supervisor
Committee
Tal, Fabio Armando (President)
Alfonso, Nestor Felipe Caticha
Freire Junior, Ricardo dos Santos
Lopes, Artur Oscar
Proença, Rodrigo Bissacot
Title in Portuguese
Densidade do conjunto das dinâmicas simbólicas com todas as medidas ergódicas suportadas em órbitas periódicas
Keywords in Portuguese
conjunto de Cantor
endomorfismo
homeomorfismo
órbita finalmente periódica
órbita periódica.
Abstract in Portuguese
Seja K um conjunto de Cantor. Neste trabalho apresentamos dois teoremas relacionados a densidade do conjunto das dinâmicas simbólicas. No caso de endomorfismos provamos que, dado uma dinâmica T : K K, existe uma T : K K próxima a T, tal que toda órbita é finalmente periódica. Já no caso de homeomorfismos, mostramos que, dado uma dinâmica T : K K, existe uma T : K K próxima a T, tal que o w-limite de toda órbita de T é uma órbita periódica. Em particular, mostramos que, em ambos os casos, todas as medidas ergódicas estão suportadas em órbitas periódicas.
Title in English
Density of the set of symbolic dynamics with all ergodic measures supported on periodic orbits
Keywords in English
endomorphism
finally periodic orbit
homeomorphism
linear Cantor set
periodic orbit.
Abstract in English
Let K be a Cantor set. In this work we present two theorems related to the density of symbolic dynamics. We prove that given an endomorphism T : K K then there exists an endomorphism ~ T : K K close to T such that every orbit is finally periodic. We also prove that given a homeomorphism T : K K then there exists a homeomorphism ~ T : K K close to T such that the w-limit of every orbit is a periodic orbit. In particular, we have shown, in both cases, that all ergodic measures have support on periodic orbits.
 
WARNING - Viewing this document is conditioned on your acceptance of the following terms of use:
This document is only for private use for research and teaching activities. Reproduction for commercial use is forbidden. This rights cover the whole data about this document as well as its contents. Any uses or copies of this document in whole or in part must include the author's name.
tese_tatiane_batista.pdf (360.90 Kbytes)
Publishing Date
2014-01-17
 
WARNING: Learn what derived works are clicking here.
All rights of the thesis/dissertation are from the authors
Centro de Informática de São Carlos
Digital Library of Theses and Dissertations of USP. Copyright © 2001-2020. All rights reserved.