Regularity of Lyapunov exponents and invariance principle

• Grant number: 18/18990-0
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: October 01, 2018
• End date: August 30, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Ali Tahzibi
• Grantee: Adriana Cristina Sanchez Chavarria
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 17/06463-3 - Probabilistic and algebraic aspects of smooth dynamical systems, AP.TEM

Abstract

IN this project we study the regularity of Oseledets decomposition and Lyapunov exponents of cocycles. We will analyse the minimal conditions to obtain non-zero Lyapunov exponent for cocycles over partially hypewrbolic dynamics. We also study the case, when the considering measure of partially hyperbolic dynamics is a measure of maximal entropy.

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)

ALVAREZ, CARLOS F.; SANCHEZ, ADRIANA; VARAO, REGIS. Equilibrium states for maps isotopic to Anosov. Nonlinearity, v. 34, n. 6, p. 4264-4282, JUN 2021. (18/18990-0, 16/22475-9, 17/06463-3)