<html><head><meta http-equiv="Content-Type" content="text/html; charset=utf-8"></head><body style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;" class=""><div class="" style="caret-color: rgb(34, 34, 34); color: rgb(34, 34, 34); font-family: Arial, Helvetica, sans-serif;"></div><div class="" style="caret-color: rgb(34, 34, 34); color: rgb(34, 34, 34); font-family: Arial, Helvetica, sans-serif;"><strong style="margin: 0px; padding: 0px; list-style: none; vertical-align: baseline; color: rgb(0, 0, 0); font-family: Roboto, sans-serif; font-size: 13.9776px; font-variant-ligatures: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 255); text-decoration-thickness: initial;" class="">Scheduled for:</strong><br style="margin: 0px; padding: 0px; list-style: none; vertical-align: baseline; color: rgb(0, 0, 0); font-family: Roboto, sans-serif; font-size: 13.9776px; font-variant-ligatures: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 255); text-decoration-thickness: initial;" class=""><span style="color: rgb(0, 0, 0); font-family: Roboto, sans-serif; font-size: 13.9776px; font-variant-ligatures: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 255); text-decoration-thickness: initial;" class="">Nov 05, 2021, at 2:00 pm</span><br style="margin: 0px; padding: 0px; list-style: none; vertical-align: baseline; color: rgb(0, 0, 0); font-family: Roboto, sans-serif; font-size: 13.9776px; font-variant-ligatures: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 255); text-decoration-thickness: initial;" class=""><span style="color: rgb(0, 0, 0); font-family: Roboto, sans-serif; font-size: 13.9776px; font-variant-ligatures: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 255); text-decoration-thickness: initial;" class="">(GMT-03:00) Brasilia Standard Time - Sao Paulo</span><br style="margin: 0px; padding: 0px; list-style: none; vertical-align: baseline; color: rgb(0, 0, 0); font-family: Roboto, sans-serif; font-size: 13.9776px; font-variant-ligatures: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 255); text-decoration-thickness: initial;" class=""><span style="color: rgb(0, 0, 0); font-family: Roboto, sans-serif; font-size: 13.9776px; font-variant-ligatures: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 255); text-decoration-thickness: initial;" class="">Video call link: </span><a class="external-link" href="https://meet.google.com/wqt-nirt-eph" target="_blank" title="link" style="margin: 0px; padding: 0px; list-style: none; vertical-align: baseline; outline: none; text-decoration: none; font-family: Roboto, sans-serif; font-size: 13.9776px; font-variant-ligatures: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 255); color: rgb(32, 92, 144) !important; border-bottom-style: none !important;">https://meet.google.com/wqt-nirt-eph</a><br style="margin: 0px; padding: 0px; list-style: none; vertical-align: baseline; color: rgb(0, 0, 0); font-family: Roboto, sans-serif; font-size: 13.9776px; font-variant-ligatures: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 255); text-decoration-thickness: initial;" class=""><br style="margin: 0px; padding: 0px; list-style: none; vertical-align: baseline; color: rgb(0, 0, 0); font-family: Roboto, sans-serif; font-size: 13.9776px; font-variant-ligatures: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 255); text-decoration-thickness: initial;" class=""><strong style="margin: 0px; padding: 0px; list-style: none; vertical-align: baseline; color: rgb(0, 0, 0); font-family: Roboto, sans-serif; font-size: 13.9776px; font-variant-ligatures: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 255); text-decoration-thickness: initial;" class="">Speaker:</strong><br style="margin: 0px; padding: 0px; list-style: none; vertical-align: baseline; color: rgb(0, 0, 0); font-family: Roboto, sans-serif; font-size: 13.9776px; font-variant-ligatures: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 255); text-decoration-thickness: initial;" class=""><span style="color: rgb(0, 0, 0); font-family: Roboto, sans-serif; font-size: 13.9776px; font-variant-ligatures: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 255); text-decoration-thickness: initial;" class="">Manuel González-Navarrete (Universidad del Bío-Bío)</span><br style="margin: 0px; padding: 0px; list-style: none; vertical-align: baseline; color: rgb(0, 0, 0); font-family: Roboto, sans-serif; font-size: 13.9776px; font-variant-ligatures: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 255); text-decoration-thickness: initial;" class=""><br style="margin: 0px; padding: 0px; list-style: none; vertical-align: baseline; color: rgb(0, 0, 0); font-family: Roboto, sans-serif; font-size: 13.9776px; font-variant-ligatures: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 255); text-decoration-thickness: initial;" class=""><strong style="margin: 0px; padding: 0px; list-style: none; vertical-align: baseline; color: rgb(0, 0, 0); font-family: Roboto, sans-serif; font-size: 13.9776px; font-variant-ligatures: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 255); text-decoration-thickness: initial;" class="">Title:</strong><br style="margin: 0px; padding: 0px; list-style: none; vertical-align: baseline; color: rgb(0, 0, 0); font-family: Roboto, sans-serif; font-size: 13.9776px; font-variant-ligatures: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 255); text-decoration-thickness: initial;" class=""><span style="color: rgb(0, 0, 0); font-family: Roboto, sans-serif; font-size: 13.9776px; font-variant-ligatures: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 255); text-decoration-thickness: initial;" class="">Reinforced random walks under memory lapses</span><br style="margin: 0px; padding: 0px; list-style: none; vertical-align: baseline; color: rgb(0, 0, 0); font-family: Roboto, sans-serif; font-size: 13.9776px; font-variant-ligatures: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 255); text-decoration-thickness: initial;" class=""><br style="margin: 0px; padding: 0px; list-style: none; vertical-align: baseline; color: rgb(0, 0, 0); font-family: Roboto, sans-serif; font-size: 13.9776px; font-variant-ligatures: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 255); text-decoration-thickness: initial;" class=""><strong style="margin: 0px; padding: 0px; list-style: none; vertical-align: baseline; color: rgb(0, 0, 0); font-family: Roboto, sans-serif; font-size: 13.9776px; font-variant-ligatures: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 255); text-decoration-thickness: initial;" class="">Abstract:</strong><br style="margin: 0px; padding: 0px; list-style: none; vertical-align: baseline; color: rgb(0, 0, 0); font-family: Roboto, sans-serif; font-size: 13.9776px; font-variant-ligatures: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 255); text-decoration-thickness: initial;" class=""><span style="color: rgb(0, 0, 0); font-family: Roboto, sans-serif; font-size: 13.9776px; font-variant-ligatures: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 255); text-decoration-thickness: initial;" class="">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.</span><br style="margin: 0px; padding: 0px; list-style: none; vertical-align: baseline; color: rgb(0, 0, 0); font-family: Roboto, sans-serif; font-size: 13.9776px; font-variant-ligatures: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 255); text-decoration-thickness: initial;" class=""><br style="margin: 0px; padding: 0px; list-style: none; vertical-align: baseline; color: rgb(0, 0, 0); font-family: Roboto, sans-serif; font-size: 13.9776px; font-variant-ligatures: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 255); text-decoration-thickness: initial;" class=""><strong style="margin: 0px; padding: 0px; list-style: none; vertical-align: baseline; color: rgb(0, 0, 0); font-family: Roboto, sans-serif; font-size: 13.9776px; font-variant-ligatures: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 255); text-decoration-thickness: initial;" class="">Bio:</strong><br style="margin: 0px; padding: 0px; list-style: none; vertical-align: baseline; color: rgb(0, 0, 0); font-family: Roboto, sans-serif; font-size: 13.9776px; font-variant-ligatures: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 255); text-decoration-thickness: initial;" class=""><span style="color: rgb(0, 0, 0); font-family: Roboto, sans-serif; font-size: 13.9776px; font-variant-ligatures: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 255); text-decoration-thickness: initial;" class="">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.</span></div><div class="">
<div dir="auto" style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;" class=""><div dir="auto" style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;" class=""><div style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); font-family: Helvetica; font-size: 12px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;"><br class="">===============================<br class="">/* Michel H. Montoril, <br class=""> * Assistant Professor,<br class=""> * Department of Statistics,<br class=""> * Federal University of São Carlos,<br class=""> * São Carlos, SP, 13565-905, Brazil<br class=""> */</div></div></div>
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