Dynamics of endomofisms of C2 and Julia sets

• Grant number: 11/23199-1
• Support Opportunities: Research Grants - Visiting Researcher Grant - Brazil
• Start date: March 01, 2012
• End date: July 31, 2012
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: André Salles de Carvalho
• Grantee: André Salles de Carvalho
• Visiting researcher: Ali Messaoudi
• Visiting researcher institution: Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. Instituto de Biociências, Letras e Ciências Exatas (IBILCE), Brazil
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

In this work, we will study dynamical, topological and spectral properties for a class of adding machine. This study involves the dynamics and Julia sets for a class of endomorfisms of C2, Stochastic adding machines, Stochastic processes and Markov chains, Spectral properties of transition operators. (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)

EL ABDALAOUI, EL HOUCEIN; BONNOT, SYLVAIN; MESSAOUDI, ALI; SESTER, OLIVIER. ON THE FIBONACCIC OMPLEX DYNAMICAL SYSTEMS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v. 36, n. 5, p. 2449-2471, MAY 2016. (13/24541-0, 07/06896-5, 11/23199-1)

MESSAOUDI, ALI; SESTER, OLIVIER; VALLE, GLAUCO. SPECTRUM OF STOCHASTIC ADDING MACHINES AND FIBERED JULIA SETS. Stochastics and Dynamics, v. 13, n. 3, SEP 2013. (07/06896-5, 11/23199-1)

EL ABDALAOUI, EL HOUCEIN; MESSAOUDI, ALI. On the spectrum of stochastic perturbations of the shift and Julia sets. FUNDAMENTA MATHEMATICAE, v. 218, n. 1, p. 47-68, 2012. (11/23199-1)