Moduli of continuity of the Lyapunov exponents for linear cocycles with holonomies

• Grant number: 18/07797-5
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: June 01, 2018
• End date: May 31, 2022
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: André Salles de Carvalho
• Grantee: El Hadji Yaya Tall
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 16/25053-8 - Dynamics and geometry in low dimensions, AP.TEM

Abstract

In this project we will investigate the moduli of continuity for the Lyapunov exponents of linear cocycles with invariant stable and unstable holonomies.

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)

BEZERRA, JAMERSON; SANCHEZ, ADRIANA; TALL, EL HADJI YAYA. Analyticity of the Lyapunov exponents of random products of quasi-periodic cocycles. Nonlinearity, v. 36, n. 6, p. 16-pg., 2023-06-01. (18/07797-5)