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Topological models in holomorphic dynamics

Grant number: 11/12650-4
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): November 01, 2011
Effective date (End): October 31, 2013
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:André Salles de Carvalho
Grantee:Sylvain Philippe Pierre Bonnot
Home Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

This project has the purpose to build topological models for holomorphic dynamical systems. The first part will study topological ramified covering maps of the sphere up to isotopy, by reducing them to one-dimensional graphs ("train tracks") carrying all the relevant dynamical information.The second part will be devoted to complex Henon maps and will provide topological models by pinching four dimensional balls along dynamically defined laminations on the boundary.

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)
BONNOT, S.; DE CARVALHO, A.; MESSAOUDI, A. Julia sets for Fibonacci endomorphisms of (2). DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, v. 33, n. 4, p. 622-645, 2018. Web of Science Citations: 1.

Please report errors in scientific publications list by writing to: cdi@fapesp.br.