Ergodic theory of Lyapunov exponents

• Grant number: 25/04978-2
• Support Opportunities: Scholarships abroad - Research Internship - Master's degree
• Start date: August 01, 2025
• End date: January 31, 2026
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: José Régis Azevedo Varão Filho
• Grantee: André Boscariol Rasera
• Supervisor: Raul Mario Ures de La Madrid
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Institution abroad: Southern University Of Science And Technology, China
• Associated to the scholarship: 23/16238-8 - Measure disintegration under the ergodic theory perspective, BP.MS

Abstract

This is a master's research visit project to SUSTech to work on the ergodic theory of Lyapunov Exponents. The goal is to understand the theory of Lyapunov exponents from a perspective of ergodic theory, such as stable and unstable manifolds associated to nonnegative Lyapunov exponents, absolute continuity of such foliations and some applications on ergodic theory. Lyapunov exponents are an essential tool on modern ergodic theory. (AU)