Banca de DEFESA: PEDRO EMANUEL OLIVEIRA DOS SANTOS

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : PEDRO EMANUEL OLIVEIRA DOS SANTOS
DATE: 10/05/2024
TIME: 10:00
LOCAL: Instituto de Matemática
TITLE:

Ergodic formalism

KEY WORDS:

Baire Ergodicity; Ergodic Formalism; Topological attractors; Statistical at- tractors; Interval maps; Wandering Intervals.

PAGES: 56
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUBÁREA: Geometria e Topologia
SPECIALTY: Sistemas Dinâmicos
SUMMARY:

In this paper we present the concepts of Baire Ergodicity and Ergodic Formalism. We use them to study topological attractors and statistical attractors and, in particular, to determine their existence and finiteness.
These concepts are also used to investigate topological attractors of interval maps, even with discontinuities. To do this, we analyze the attractors of wandering intervals. As a result, we demonstrate the finiteness of non-periodic attractors of C2 applications with discontinuities.
For applications of the interval C2 without discontinuities, we show that the topological and statistical attractors coincide and we calculate the Birkhoff upper mean of continuous functions for generic points.

COMMITTEE MEMBERS:
Presidente - 1283019 - VILTON JEOVAN VIANA PINHEIRO
Interno - 2006794 - THIAGO BOMFIM SAO LUIZ NUNES
Externo ao Programa - 1654597 - PAULO CESAR RODRIGUES PINTO VARANDAS - UFBAExterno à Instituição - DANIEL SMANIA BRANDAO - USP
Externa à Instituição - MARIA JOSÉ PACÍFICO