Palestra Dirk Erhard, do dia 31 de maio
em formato PDF. ![](data:image/jpeg;base64,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)
Nesta palestra vou introduzir dois objetos fundamentais da probabilidade: o movimento browniano e a sua versão discreta o passeio aleatório.
Ambas são objetos que descrevem o movimento de uma partícula que se move no espaço numa maneira totalmente aleatória.
Depois de ter discutido a história do movimento browniano, eu vou discutir alguns resultados fundamentais que geralmente são tratados nas disciplinas básicas de probabilidade. Finalmente vou discutir alguns resultados mais recentes e vou argumentar que o movimento Browniano e o passeio aleatório
em algumas situações devem se comportar como um queijo suiço, ou seja, devem visitar a maior parte do espaço, mas devem deixar alguns buracos de tamanhos aleatórias.
A palestra é baseada em um trabalho em andamento.