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Integrated Information and Complexity Measures for Disordered Systems

Citton, Otávio Cístolo

Biblioteca Digital de Teses e Dissertações da USP; Universidade de São Paulo; Instituto de Física 2023-02-10

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  • Título:
    Integrated Information and Complexity Measures for Disordered Systems
  • Autor: Citton, Otávio Cístolo
  • Orientador: Alfonso, Nestor Felipe Caticha
  • Materias: Sistemas Desordenados; Sistemas Complexos; Índices De Compelxidade; Informação Integrada; Mecânica Estatística; Complex Systems; Integrated Information; Disordered Systems; Complexity Index; Statistical Mechanics
  • Notas: Dissertação (Mestrado)
  • Descripción: Motivated by the possible applications that a better understanding of consciousness might bring, we follow Tononi\'s idea and calculate analytically a complexity index for a disordered system. Utilizing the information geometry formulation of integrated information theory, and by restricting our analysis to bipartitions of the system, we calculate the geometric integrated information index for the model we call Little-Sherrington-Kirkpatrick, a synchronous dynamics version of the SK spin-glass model with quenched Gaussian interactions. The effects of partitioning are taken into account by introducing site dilution. We show that this complexity index can be used to rank the three phases of the system in terms of its complexity, and make an analysis on how it changes when we vary the partitioning of the system. Finally, by approximating the dynamics near-equilibrium, we briefly analyze the behavior of the geometric integrated information index out of equilibrium.
  • DOI: 10.11606/D.43.2023.tde-15062023-052053
  • Editor: Biblioteca Digital de Teses e Dissertações da USP; Universidade de São Paulo; Instituto de Física
  • Fecha de creación: 2023-02-10
  • Formato: Adobe PDF
  • Idioma: Inglés
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