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| Author(s): |
Lino Ramada Ferreira Junior
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | Campinas, SP. |
| Institution: | Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica |
| Defense date: | 2020-12-22 |
| Examining board members: |
Eduardo Garibaldi;
José Régis Azevedo Varão Filho;
Manuel Stadlbauer;
Philippe Thieullen;
Samuel Paul Léon Petite
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| Advisor: | Eduardo Garibaldi |
| Abstract | |
The goal of this thesis is to study the thermodynamic formalism at zero temperature in the context of a random subshift of finite type. We make use of results from the literature that (under some hypotheses) guarantee the existence of equilibrium states µ_t for sufficiently regular random potentials tØ, where the parameter t is interpreted as the inverse of the absolute temperature. From the thermodynamic formalism at zero temperature we characterize the maximal ergodic value of the random potential Ø in different ways and we obtain maximizing probabilities. We provide a contribution to the theory of ergodic optimization by generalizing the concept of subaction to random dynamical systems and by showing that sufficiently regular random potentials admit calibrated subations (AU) | |
| FAPESP's process: | 14/23773-8 - Thermodynamic formalism at zero temperature for random subshifts of finite type |
| Grantee: | Lino Ramada Ferreira Junior |
| Support Opportunities: | Scholarships in Brazil - Doctorate |