<div dir="ltr"><div class="gmail_quote"><div dir="ltr" class="gmail_attr"><br></div><br><div dir="ltr"><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>September
20, </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><span lang="EN-US"></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-family:Arial,sans-serif;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"></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 style="font-size:12pt;line-height:115%">Speaker: </span><b>Davide
Gabrielli (Università dell'Aquila)</b><b><span style="font-size:12pt;line-height:115%"></span></b></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 lang="EN-US" style="font-size:12pt;line-height:115%">Title:
</span><b style="font-size:11pt"><span lang="EN-US">Invariant measures of the Box Ball System with
independent soliton components</span></b><br></p>
<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:Calibri,sans-serif"><span lang="EN-US"> </span><span lang="EN-US" style="font-size:12pt;line-height:115%">Abstract:
</span><span lang="EN-US" style="font-size:12pt;line-height:115%"> </span><span lang="EN-US" style="font-size:12pt;line-height:115%;color:black"> </span><span lang="EN-US" style="font-size:11pt;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">The Box-Ball System (BBS) is a one-dimensional
cellular automaton on the integer lattice. It is related to the Korteweg-de
Vries (KdV) equation and exhibits solitonic behaviour. It has been introduced
by Takahashi and Satsuma, who identified conserved quantities called solitons.
Ferrari, Nguyen, Rolla and Wang codify a configuration of
balls by a double infinite array of integer numbers called the soliton components.
Building over this codification, we give an explicit construction of a large
family of invariant measures for the Box Ball System that are also shift
invariant, including Markov and Bernoulli product measures. The
construction is based on the concatenation of i.i.d. excursions of the
associated walk trajectory. The corresponding random array of components has a
product distribution with geometric marginals of parameter depending on the
size of the solitons. The values of the parameters are obtained by a recursive
equation.</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="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">Joint work with P.A. Ferrari</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%;color:black"> </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></div>
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