Palestrante: Leonardo Trivellato Rolla (IME - USP)

Duração: 3 aulas

Data: 15/01 a 19/01

Horário: segunda, quarta e sexta de 13h às 14h30

Local: a definir

Pré-requisitos: probabilidade em nível de doutorado, conhecimentos básicos de cadeias de Markov, teoremas ergódicos

Nível do curso: Doutorado

Resumo: Some stochastic systems are particularly interesting as they exhibit critical behavior without fine-tuning of a parameter, a phenomenon called self-organized criticality. In the context of driven-dissipative steady states, one of the main models is that of Activated Random Walks. Long-range effects intrinsic to the conservative dynamics and lack of a simple algebraic structure cause standard tools and techniques to break down. This makes the mathematical study of this model remarkably challenging. Yet, some exciting progress has been made in the last ten years, with the development of a framework of tools and methods which is finally becoming more structured. In this minicourse we present the existing results and reproduce the techniques developed so far.