Título: On random walks that build their own domain

Palestrante: Rodrigo Ribeiro (University of Colorado Boulder)
Data: 21/02/2022
Horário: 15:00h
Local: Transmissão online

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Resumo: In this talk, we will discuss the dichotomy recurrence/transience and ballisticity in the context of a class of random walks that build their own domain. At each step of the walker on its domain, a random number of new vertices is attached to the walker's position. We will present distributional conditions over this random number of new vertices for which we observe distinct sharp behavior on the walker. We also discuss structural results, that is, when this process is seen as a random graph model, the walker is capable of generating trees whose degree distribution approaches a power-law.

All the talks are held in English.

More complete information about the seminars will be available at HERE.

Sincerely,

Organizers: Giulio Iacobelli and Maria Eulalia Vares