05/11/2021 - Reinforced random walks under memory lapses - Speaker: Manuel González-Navarrete (Universidad del Bío-Bío)

UFSCar/USP joint Seminar

Announcement file.

Scheduled for:
Nov 05, 2021, at 2:00 pm
(GMT-03:00) Brasilia Standard Time - Sao Paulo

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Speaker:
Manuel González-Navarrete (Universidad del Bío-Bío)

Title:
Reinforced random walks under memory lapses

Abstract:
We introduce a one-dimensional random walk, which at each step performs a reinforced dynamics with probability $\theta$ and with probability $1 - \theta$, the random walk performs a step independent of the past. We analyse its asymptotic behaviour, showing a law of large numbers and characterizing the diffusive and superdiffusive regions. We prove central limit theorems and law of iterated logarithm based on the martingale approach. Joint work with R. Hernández.

Bio:
Manuel is a professor at Universidad del Bío-Bío since 2018. He completed a PhD in statistics at IME-USP in 2015 under the supervision of Anatoly Yambartsev and Eugene Pechersky. He also did a postdoctoral stay at IME-USP and GSSI in Italy. His main interests are in probability theory and statistical mechanics.