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Interval exchange transformations and its generalizations

Grant number: 22/13987-7
Support Opportunities:Scholarships abroad - Research Internship - Scientific Initiation
Effective date (Start): March 01, 2023
Effective date (End): 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
Research place: University of Zurich (UZH), Switzerland  
Associated to the scholarship:22/10589-0 - Introduction to dynamical systems through examples, BP.IC


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)

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