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<p class="MsoNormal" style="line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><b><span style="font-size:12pt;line-height:115%" lang="EN-US">Probability Webinar -<span> </span>IM-UFRJ <span></span></span></b></p>
<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US"><span> </span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US">Dear colleagues,<span>
</span><span></span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US">Our next online seminar will be held on Monday, <b>October 26</b>, from <b>3 p.m. to 4 p.m</b>.
(Rio de Janeiro local time)<span></span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US">The GoogleMeet link for the seminars is: </span><a href="https://meet.google.com/nxh-optr-wtq" style="color:blue;text-decoration:underline" target="_blank"><span style="font-size:12pt;line-height:115%" lang="EN-US">https://meet.google.com/nxh-optr-wtq</span></a><span style="font-size:12pt;line-height:115%" lang="EN-US">
<br>
<br>
<span></span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US">Speaker: <span> </span><b>Guilherme
Ost<span> </span>(IM-UFRJ) </b><span></span></span></p>
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<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US">Title:</span><span style="font-size:12pt;line-height:115%" lang="EN-US"> </span><b><span lang="EN-US">Self-Switching Markov Chains:
emerging dominance phenomena</span></b><span style="font-size:12pt;line-height:115%" lang="EN-US"><span></span></span></p>
<p class="MsoNormal" style="line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US">Abstract:<b> </b></span><span style="font-size:12pt;line-height:115%" lang="EN-US"> </span><span lang="EN-US">In many dynamical systems in nature,
the law of the dynamics changes along with the temporal evolution of the
system. These changes are often associated with the occurrence of certain
events. The timing of occurrence of these events depends, in turn, on the
trajectory of the dynamical system itself, making the dynamics of the system
and the timing of changes in the dynamics strongly coupled. Naturally,
trajectories that take longer to satisfy the event will last longer. Therefore,
we expect to observe more frequently the dominant dynamics, the ones that take
longer to change in the long run. In this talk, we will present a Markov chain
model, called Self-Switching Markov Chain (SSMC), in which the emergence of
dominant dynamics can be rigorously addressed. We will discuss conditions and
scaling in the SSMC under which we observe with probability one only the subset
of dominant dynamics. Moreover, we characterize these dominant dynamics.
Furthermore, we show that the switching between dynamics exhibits metastability-like
property. This is a joint work with Daniel Takahashi (UFRN), Giulio Iacobelli
(UFRJ) and Sandro Gallo (UFSCar).<span></span></span></p>
<p class="MsoNormal" style="line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span lang="EN-US"><span> </span></span></p>
<p class="MsoNormal" style="line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US"><span> </span></span></p>
<p class="MsoNormal" style="line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US">All the talks
are held in English. <span></span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US">Thanks for circulating this information. <span></span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US">Sincerely, <br>
Organizers: Guilherme Ost and Maria Eulalia Vares<span></span></span></p>
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