Banca de DEFESA: RAFAEL MOREIRA PAULO

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : RAFAEL MOREIRA PAULO
DATE: 31/07/2023
TIME: 15:00
LOCAL: Instituto de Matemática da UFBA
TITLE:

Thermodynamic formalism for interval maps.

KEY WORDS:

Thermodynamic formalism; Equilibrium states; Zooming measures; Expanding measures.

PAGES: 101
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUBÁREA: Geometria e Topologia
SPECIALTY: Sistemas Dinâmicos
SUMMARY:

The aim of this work is to present some of the known results about the existence and uniqueness of equilibrium states for transitive interval maps. For this, we do not use the more classical approach of Hofbauer-Keller Towers, we used zooming measures (generalizations of expanding measures) and Markov maps induced by zooming returns. With this we obtain results on the equilibrium states among the expanding measures and, for Hölder potentials that favor the expansive measures, we show the existence and uniqueness of the equilibrium state.

COMMITTEE MEMBERS:
Presidente - 1283019 - VILTON JEOVAN VIANA PINHEIRO
Interno - 1654597 - PAULO CESAR RODRIGUES PINTO VARANDAS
Externo à Instituição - YURI LIMA - UFC