<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="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%"> </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%">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>August
30 </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 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></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>Elena
Pulvirenti (Delft University of Technology)</b></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 lang="EN-US" style="font-size:12pt;line-height:115%">Title:
<b>The Widom-Rowlinson model: metastability, mesoscopic and
microscopic fluctuations for the critical droplet</b></span><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="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;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%">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="color:black">We introduce
the equilibrium Widom-Rowlinson model on a two-dimensional finite
torus in which the energy of a particle configuration is attractive and
determined by the union of small discs centered at the positions of the
particles. We then discuss the metastable behaviour of a dynamic version of the
WR model. This means that the particle configuration is viewed as a continuous
time Markov process where particles are randomly created and annihilated as if
the outside of the torus were an infinite reservoir with a given chemical
potential. In particular, we start with the empty torus and are interested in
the first time when the torus is fully covered by discs in the regime at low
temperature and when the chemical potential is supercritical. In order to
achieve the transition from empty to full, the system needs to create a
sufficiently large droplet, called critical droplet, which triggers the crossover.
We compute the distribution of the crossover time and identify the size and the
shape of the critical droplet. The analysis relies on a mesoscopic and
microscopic description of the surface of the critical droplet. It turns out
that the critical droplet is close to a disc of a certain deterministic radius,
with a boundary that is random and consists of a large number of small discs
that stick out by a small distance. We will show how the analysis of surface
fluctuations in the WR model allows us to derive the leading order term of the
condensation time and also the correction order term. This is a joint work with
Frank den Hollander (Leiden), Sabine Jansen (Munich) and Roman Kotecky (Prague
& Warwick).</span><span lang="EN-US" style="font-size:12pt;line-height:115%;color:black"></span></p>
<p class="MsoNormal" style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;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>
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