Affine Interval Exchange Transformations and Rauzy Fractals

• Grant number: 25/00631-8
• Support Opportunities: Scholarships abroad - Research Internship - Master's degree
• Start date: May 01, 2025
• End date: July 29, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Ali Messaoudi
• Grantee: Guilherme Zahra Cundari
• Supervisor: Hubert Pascal
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil
• Institution abroad: Aix-Marseille Université (AMU), France
• Associated to the scholarship: 24/07448-1 - Dynamic of Exchange maps and Rauzy Fractals, BP.MS

Abstract

We will study dynamical properties of affine interval exchange transformation and their relation with dynamical systems associated to substitutions and also with a class of sets called Rauzy Fractals.