Renormalization of Lorenz maps

• Grant number: 17/03658-8
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: May 29, 2017
• End date: June 23, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Edson Vargas
• Grantee: Edson Vargas
• Visiting researcher: Bjorn Winckler
• Visiting researcher institution: Stony Brook University (SB), United States
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

Our goal is to prove the existence of combinatorial stationary types such that the Lorenz maps renormalization has two fixed points. Moreover we will study geometric aspects to prove the existence of infinitely renormalizable Lorenz maps which are not C^1 rigid. (AU)