<div dir="ltr"><div class="gmail_quote"><div dir="ltr" class="gmail_attr"><br></div><br><br><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 Seminar - 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="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="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%">Our next seminar will be held on Monday, <b>January 24, </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 GoogleMeet link for the seminar is </span><a href="https://meet.google.com/pmb-wxav-opv" 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://meet.google.com/pmb-wxav-opv</span></a><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%">Speaker: </span><strong><span lang="EN-US" style="font-size:12pt;line-height:115%;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">Siamak Taati</span></strong><span lang="EN-US" style="font-size:12pt;line-height:115%;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"> <b>(American University of Beirut)</b></span><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%">Title:
<b>Probabilistic cellular automata with Bernoulli invariant measures</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"></span></b></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%"> I will sketch a proof of the following result:
If a positive-rate probabilistic cellular automaton has a Bernoulli invariant
measure, then it is ergodic, meaning that its distribution starting from any
configuration converges (exponentially fast) to that Bernoulli measure.
The same result holds for (continuous-time) interacting particle systems.
The proof is based on the entropy method, but unlike the usual entropy
arguments, does not require the shift-invariance of the starting measure.
This result has a practical implication concerning the inevitability of heat
dissipation in computers which I will briefly discuss. This is a joint
work with Irène Marcovici.</span><span lang="EN-US" style="font-size:12pt;line-height:115%;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%;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%">More complete
information about the seminars will be available at </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%"><a href="http://www.dme.ufrj.br/?page_id=2438" target="_blank">http://www.dme.ufrj.br/?page_id=2438</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%">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="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, </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%">Organizers: Giulio Iacobelli and Maria Eulalia Vares</span></p>
<span lang="EN-US" style="font-size:12pt;line-height:115%;font-family:Calibri,"sans-serif""><br>
<br>
</span></div></div>
</div></div>