Banca de DEFESA: CARLOS ENRIQUE GERBASI GOMEZ

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : CARLOS ENRIQUE GERBASI GOMEZ
DATE: 02/10/2023
TIME: 14:00
LOCAL: Sala 13 da pós-graduação IME/UFBA
TITLE:

Non-uniform hyperbolicity and maximal entropy measure in Complex Dynamics

KEY WORDS:

Hyperbolicity; Semi-hyperbolicity; Collect-Eckmann Topological Condition;
Maximal Entropy Measure; Doubling Measures; Jacobian

PAGES: 62
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUBÁREA: Geometria e Topologia
SPECIALTY: Sistemas Dinâmicos
SUMMARY:

In this dissertation, we will study two forms of non-uniform hyperbolicity: semi-
hyperbolic rational functions and those that satisfy the Collet-Eckmann topological con-
dition. The goal is to present a characterization of these types of hyperbolicity in relation to the measure of maximal entropy. This work will include an analysis of the concept of hyperbolicity and its connection with semi-hyperbolicity and the TCE (Collet-Eckmann) condition. All the work is based on an article written by Rivera-Letelier [The maximal entropy measure detects non-uniform hyperbolicity. Mathematical research letters, 2010].

COMMITTEE MEMBERS:
Interno - 2465298 - KLEYBER MOTA DA CUNHA
Interno - 2996900 - CARLOS ALBERTO SIQUEIRA LIMA
Externo à Instituição - GERARDO ANDRÉS HONORATO GUTIÉRREZ