Physical measures for critical covering maps of the circle

• Grant number: 09/08367-5
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: August 01, 2009
• End date: July 31, 2012
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Edson Vargas
• Grantee: Tiago Estrela de Oliveira
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 06/03829-2 - Dynamic in low dimensions, AP.TEM

Abstract

For critical covering maps of the circle we shall describe the set of accumulation points of the sequence of Birkhoff averages of the Lebesgue measure. The maps for which the above sequence has just one accumulation point, called physical measure, will be of special interest.

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

OLIVEIRA, Tiago Estrela de. Invariant measures for critical covering maps of the circle. 2014. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME/SBI) São Paulo.