Approximate hyperbolic measures by Bernoulli measures

• Grant number: 15/20162-0
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: January 04, 2016
• End date: January 31, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Edson Vargas
• Grantee: Edson Vargas
• Visiting researcher: Sun Wenxiang
• Visiting researcher institution: Peking University (PKU), China
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 11/16265-8 - Low dimensional dynamics, AP.TEM

Abstract

We will prove that a hyperbolic invariant measure for a $C{1+a}$ diffeomorphism having a dominated spliting is a weak limit of Bernoulli invariant measures. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

LIAO, GANG; SUN, WENXIANG; VARGAS, EDSON; WANG, SHIROU. Approximation of Bernoulli measures for non-uniformly hyperbolic systems. Ergodic Theory and Dynamical Systems, v. 40, n. 1, p. 233-247, JAN 2020. (15/20162-0)