<div dir="ltr"><div class="gmail_quote"><div dir="ltr" class="gmail_attr"><br></div><div dir="ltr"><div class="gmail_quote"><div dir="ltr"><p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:12.65pt;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;font-size:11pt;font-family:Calibri,"sans-serif""><span lang="EN-US" style="font-size:12pt">Dear colleagues, </span></p>

<p class="MsoNormal" style="line-height:12.65pt;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;margin:0cm 0cm 10pt;font-size:11pt;font-family:Calibri,"sans-serif""><span lang="EN-US" style="font-size:12pt"> </span></p>

<p class="MsoNormal" style="line-height:12.65pt;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;margin:0cm 0cm 10pt;font-size:11pt;font-family:Calibri,"sans-serif""><span lang="EN-US" style="font-size:12pt">Our next seminar will be held on Monday, <b>April
11, </b> from <b>3 p.m. to 4 p.m</b>. (Rio de Janeiro local
time).</span></p>

<p class="MsoNormal" style="line-height:12.65pt;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;margin:0cm 0cm 10pt;font-size:11pt;font-family:Calibri,"sans-serif""><span lang="EN-US" style="font-size:12pt">We will be using the platform Zoom and the link is:</span></p>

<p class="MsoNormal" style="line-height:12.65pt;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;font-size:11pt;font-family:Calibri,"sans-serif""><span style="font-size:12pt"><a href="https://us02web.zoom.us/j/83698166702?pwd=ejFxYmh3dVk5b3J3SG0wMWxEVnVrUT09" target="_blank"><span lang="EN-US">https://us02web.zoom.us/j/83698166702?pwd=ejFxYmh3dVk5b3J3SG0wMWxEVnVrUT09</span></a></span><span lang="EN-US" style="font-size:12pt"></span></p><p class="MsoNormal" style="line-height:12.65pt;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;font-size:11pt;font-family:Calibri,"sans-serif""><br></p>

<p class="MsoNormal" style="line-height:12.65pt;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;margin:0cm 0cm 10pt;font-size:11pt;font-family:Calibri,"sans-serif""><span lang="EN-US" style="font-size:12pt">Speaker:  <b>Milton Jara (IMPA)</b></span></p>

<p class="MsoNormal" style="line-height:12.65pt;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;margin:0cm 0cm 10pt;font-size:11pt;font-family:Calibri,"sans-serif""><span lang="EN-US" style="font-size:12pt">Title: </span><b><span lang="EN-US" style="font-size:12pt">Relative
entropy and sharp convergence to stationarity of the exclusion process</span></b><span lang="EN-US" style="font-size:12pt"></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%">Abstract:  </span><span lang="EN-US" style="font-size:12pt;line-height:115%">After comprehensive work by Lacoin et al.,
the convergence to equilibrium of the one-dimensional exclusion process
 is well understood. In particular, the mixing time and cut-off window are
explicitly known. For the particular example of the reversible exclusion
process in contact with reservoirs, we show how the mixing time depends on
initial conditions which are relevant in the hydrodynamic limit of the
exclusion process. The proof relies on log-Sobolev inequalities, relative
entropy methods and the CLT for the density of particles. </span><span style="font-size:12pt;line-height:115%">Joint work
with Patricia Gonçalves (Lisbon), Rodrigo Marinho (Porto Alegre) and Otávio
Menezes (West Lafayette). </span></p>

<p class="MsoNormal" style="line-height:12.65pt;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;margin:0cm 0cm 10pt;font-size:11pt;font-family:Calibri,"sans-serif""><span lang="EN-US" style="font-size:12pt;color:black"> </span><span lang="EN-US" style="font-size:12pt"></span></p>

<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:12.65pt;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;font-size:11pt;font-family:Calibri,"sans-serif""><span lang="EN-US" style="font-size:12pt">All the talks are held in
English.</span></p>

<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:12.65pt;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;font-size:11pt;font-family:Calibri,"sans-serif""><span lang="EN-US" style="font-size:12pt">More complete information
about the seminars will be available at </span><a href="http://www.dme.ufrj.br/?page_id=2438" style="font-size:12pt" target="_blank">http://www.dme.ufrj.br/?page_id=2438</a></p>

<p class="MsoNormal" style="line-height:12.65pt;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;margin:0cm 0cm 10pt;font-size:11pt;font-family:Calibri,"sans-serif""><span lang="EN-US" style="font-size:12pt">Those who do not wish to receive our next
announcements may simply send an email to  <<a href="mailto:eulalia@im.ufrj.br" target="_blank">eulalia@im.ufrj.br</a>> 
asking to be removed from the list. </span></p>

<p class="MsoNormal" style="line-height:12.65pt;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;margin:0cm 0cm 10pt;font-size:11pt;font-family:Calibri,"sans-serif""><span lang="EN-US" style="font-size:12pt">Thanks for circulating this information.</span></p>

<p class="MsoNormal" style="line-height:12.65pt;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;margin:0cm 0cm 10pt;font-size:11pt;font-family:Calibri,"sans-serif""><span lang="EN-US" style="font-size:12pt">Sincerely,</span></p>

<p class="MsoNormal" style="line-height:12.65pt;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;margin:0cm 0cm 10pt;font-size:11pt;font-family:Calibri,"sans-serif""><span lang="EN-US" style="font-size:12pt">Organizers: Giulio Iacobelli and Maria Eulalia
Vares</span></p>

<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:Calibri,"sans-serif""><br></p></div></div></div>
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