Adding Machines, Julia sets and Dynamical Systems

• Grant number: 24/10135-5
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: February 01, 2025
• End date: January 31, 2027
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Ali Messaoudi
• Grantee: Ioannis Tsokanos
• 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

Abstract

We intend to study several themes related to discrete dynamical systems. These studiesare connected with number theory, probability theory, Complex Analysis and operatortheory. In particular, we will study topics on the substitution theory and its connectionswith adding machines, Julia sets, Sloane transformations, Rauzy Fractals and diophantineapproximations