<div dir="ltr"><div class="gmail_quote"><div dir="ltr" class="gmail_attr"><br></div><div dir="ltr"><br><div><p class="MsoNormal" style="line-height:115%;font-size:11pt;font-family:Calibri,"sans-serif""><b><span lang="EN-US" style="font-size:12pt;line-height:115%">Probability Webinar - IM-UFRJ </span></b></p>
<p class="MsoNormal" style="line-height:115%;font-size:11pt;font-family:Calibri,"sans-serif""><b><span lang="EN-US" style="font-size:12pt;line-height:115%"> </span></b></p>
<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:Calibri,"sans-serif""><span lang="EN-US" style="font-size:12pt;line-height:115%">Dear colleagues,
</span></p>
<p class="MsoNormal" style="line-height:115%;font-size:11pt;font-family:Calibri,"sans-serif""><span lang="EN-US" style="font-size:12pt;line-height:115%">Our next
online seminar will be held on Monday, <b>December
13, </b> from <b>3 p.m. to 4 p.m</b>.
(Rio de Janeiro local time)</span></p>
<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:Calibri,"sans-serif""><span lang="EN-US" style="font-size:12pt;line-height:115%">The Zoom link for the seminar is </span></p>
<p class="MsoNormal" style="line-height:115%;font-size:11pt;font-family:Calibri,"sans-serif""><a href="https://us02web.zoom.us/j/83698166702?pwd=ejFxYmh3dVk5b3J3SG0wMWxEVnVrUT09" style="color:blue" target="_blank"><span lang="EN-US" style="font-size:12pt;line-height:115%;color:rgb(17,85,204);background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">https://us02web.zoom.us/j/83698166702?pwd=ejFxYmh3dVk5b3J3SG0wMWxEVnVrUT09</span></a><span lang="EN-US" style="font-size:12pt;line-height:115%"></span></p><p class="MsoNormal" style="line-height:115%;font-size:11pt;font-family:Calibri,"sans-serif""><br></p>
<p class="MsoNormal" style="line-height:115%;font-size:11pt;font-family:Calibri,"sans-serif""><span lang="EN-US" style="font-size:12pt;line-height:115%">Speaker: <b>Morgan
André (IME-USP)</b></span></p><p class="MsoNormal" style="line-height:115%;font-size:11pt;font-family:Calibri,"sans-serif""><span lang="EN-US" style="font-size:12pt;line-height:115%"><b><br></b></span></p>
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<p class="MsoNormal" style="line-height:115%;font-size:11pt;font-family:Calibri,"sans-serif""><span lang="EN-US" style="font-size:12pt;line-height:115%">Title: <b> </b></span><b><span lang="EN-US" style="font-size:12pt;line-height:115%;color:black;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"> Time
averages of a metastable system of spiking neurons</span></b><span lang="EN-US" style="font-size:12pt;line-height:115%;color:black;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"></span></p><p class="MsoNormal" style="line-height:115%;font-size:11pt;font-family:Calibri,"sans-serif""><b><span lang="EN-US" style="font-size:12pt;line-height:115%;color:black;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><br></span></b></p>
<p class="MsoNormal" style="text-align:justify;line-height:115%;font-size:11pt;font-family:Calibri,"sans-serif""><span lang="EN-US" style="font-size:12pt;line-height:115%">Abstract: </span><span lang="EN-US" style="font-size:12pt;line-height:115%">We study a stochastic system of spiking neurons in
which the spikes of the neurons are represented by a family of interacting
point processes on the positive real line. The model depends on a parameter
gamma, representing the intensity of the natural leakage of the neurons. This
model has already been proven to exhibit several interesting behaviors. Firstly
it undergoes phase transition with respect to the parameter gamma. Moreover the
time of extinction of finite versions of the system have been proven to be
asymptotically memory-less for small gamma, a characteristic property of
metastable systems. Here we show that this last result actually holds in the
whole subcritical region and that previous to extinction the finite versions of
the system are in a regime which in some sense resemble stationarity. This is
the second characteristic property of metastable dynamics. The main idea is to
use a bypass through the theory of "Interacting particles systems".</span></p><p class="MsoNormal" style="text-align:justify;line-height:115%;font-size:11pt;font-family:Calibri,"sans-serif""><span lang="EN-US" style="font-size:12pt;line-height:115%"><br></span></p>
<p class="MsoNormal" style="line-height:115%;font-size:11pt;font-family:Calibri,"sans-serif""><span lang="EN-US" style="font-size:12pt;line-height:115%">All the talks
are held in English. </span></p>
<p class="MsoNormal" style="line-height:115%;font-size:11pt;font-family:Calibri,"sans-serif""><span lang="EN-US" style="font-size:12pt;line-height:115%">The videos of
the online seminars are available:</span></p>
<p class="MsoNormal" style="line-height:115%;font-size:11pt;font-family:Calibri,"sans-serif""><span lang="EN-US" style="font-size:12pt;line-height:115%">2020 - <a href="http://www.dme.ufrj.br/?page_id=2885" target="_blank">http://www.dme.ufrj.br/?page_id=2885</a></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:Calibri,"sans-serif""><span lang="EN-US" style="font-size:12pt;line-height:115%">2021-1 -
<a href="http://www.dme.ufrj.br/?page_id=3027" target="_blank">http://www.dme.ufrj.br/?page_id=3027</a></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:Calibri,"sans-serif""><span lang="EN-US" style="font-size:12pt;line-height:115%">For the second semester, a few days after each meeting
the video should be available at <a href="http://www.dme.ufrj.br/?page_id=3178" target="_blank">http://www.dme.ufrj.br/?page_id=3178</a></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:Calibri,"sans-serif""><span lang="EN-US" style="font-size:12pt;line-height:115%">Thanks for circulating this information. </span></p>
<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:Calibri,"sans-serif""><span lang="EN-US" style="font-size:12pt;line-height:115%">Sincerely, <br>
Organizers: Guilherme Ost and Maria Eulalia Vares</span></p>
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