Three dynamics, three questions

• Grant number: 22/07212-2
• Support Opportunities: Scholarships abroad - Research
• Start date: September 19, 2022
• End date: March 18, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Edson Vargas
• Grantee: Edson Vargas
• Host Investigator: Shin Kiriki
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Institution abroad: Tokai University, Kanagawa, Japan

Abstract

We are going to work on three types of dynamical systems which have been a fruitful subject of our recent research. The first is about physical measures, irregular set and wandering domains for diffeomorphisms dynamics. The second is about full families of multimodal rational maps on the circle. The third is about the renormalization operator in the context of Feidenbaun-Coullet-Tresser unimodal maps with a flat critical point. (AU)