Anisotropic Spaces and Dynamical Systems

• Grant number: 24/10617-0
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: February 01, 2025
• End date: January 31, 2026
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Daniel Smania Brandão
• Grantee: Pedro Augusto da Silva Morelli
• Supervisor: Carlangelo Liverani
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: Università degli Studi di Roma Tor Vergata, Italy
• Associated to the scholarship: 22/05300-1 - Dissipative particles under the action of expanding dynamical systems, BP.DR

Abstract

This proposal aims to introduce the candidate to the applications of transfer operators in obtaining statistical and spectral properties of dynamical systems, with a particular focus on the techniques via anisotropic spaces to study statistical properties of hyperbolic Dynamical Systems.