Interval exchange transformations and its generalizations

• Grant number: 22/13987-7
• Support Opportunities: Scholarships abroad - Research Internship - Scientific Initiation
• Start date: March 01, 2023
• End date: June 30, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Daniel Smania Brandão
• Grantee: Sofia Sampaio Lacerda
• Supervisor: Corinna Ulcigrai
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: University of Zurich (UZH), Switzerland
• Associated to the scholarship: 22/10589-0 - Introduction to dynamical systems through examples, BP.IC

Abstract

We will study interval exchange transformations and its generalizations. In particular we will study the phenomena of universality and rigidity in this setting. The concept of renormalization will play an important role. This project intends to introduce the student to the cutting edge of research. (AU)