Remormalization theory and thermodynamic formalism

• Grant number: 10/07267-4
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: October 01, 2010
• End date: April 30, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Daniel Smania Brandão
• Grantee: Irene Raquel Inoquio Renteria
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 08/02841-4 - Topology, geometry and ergodic theory of dynamical systems, AP.TEM

Abstract

We will study the thermodynamical formalism of infinitely renormalizable maps in one dimensional dynamics. We are specially interested in the study of the conformal measures of Julia sets of Feigenbaum maps. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

INOQUIO-RENTERIA, IRENE; RIVERA-LETELIER, JUAN. A characterization of hyperbolic potentials of rational maps. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, v. 43, n. 1, p. 99-127, MAR 2012. (10/07267-4)