Entropy of Discretized and Collapsed Anosov flows

• Grant number: 25/02441-1
• Support Opportunities: Scholarships abroad - Research
• Start date: August 04, 2025
• End date: August 03, 2026
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Ali Tahzibi
• Grantee: Ali Tahzibi
• Host Investigator: Sylvain Crovisier
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: Université Paris-Saclay, Campus D'Orsay, France

Abstract

This project aims to describe ergodic properties of some classes of differentiable dynamics that form a large set in the complement of uniformly hyperbolic systems and within the class of partially hyperbolic systems. We propose to deepen the ergodic study of Discretized Anosov Flows (DAF) and Collapsed Anosov flows, which include (strictly non-trivially) deformations of the time-one map of Anosov flows.