Lyapunov exponents and irregular sets for unimodal dynamics

• Grant number: 15/09133-9
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: August 10, 2015
• End date: September 04, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Edson Vargas
• Grantee: Edson Vargas
• Visiting researcher: Xueting Tian
• Visiting researcher institution: Fudan University, 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

For the traditional logistic family we are going to estimate the topological entropy and the topological pressure on the set where the Lyapunov exponent does not exist, this is the irregular set for the Lyapunov exponent. (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)

CATSIGERAS, ELEONORA; TIAN, XUETING; VARGAS, EDSON. Topological entropy on points without physical-like behaviour. MATHEMATISCHE ZEITSCHRIFT, v. 293, n. 3-4, p. 1043-1055, DEC 2019. (15/09133-9)

SUN, WENXIANG; TIAN, XUETING; VARGAS, EDSON. Non-uniformly hyperbolic flows and shadowing. Journal of Differential Equations, v. 261, n. 1, p. 218-235, JUL 5 2016. (15/09133-9)