<div dir="ltr"><div class="gmail_quote gmail_quote_container"><div dir="ltr"><div><p class="MsoNormal" style="margin:0in;text-align:justify;line-height:normal;font-size:11pt;font-family:Calibri,sans-serif">Caros colegas, </p><p class="MsoNormal" style="margin:0in;text-align:justify;line-height:normal;font-size:11pt;font-family:Calibri,sans-serif"><br></p><p class="MsoNormal" style="margin:0in;text-align:justify;line-height:normal;font-size:11pt;font-family:Calibri,sans-serif"><br></p>

<p class="MsoNormal" style="margin:0in;text-align:justify;line-height:normal;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>May 26</b>,<b> </b>from <b>3:30
p.m. to 4:30 p.m</b>. (Rio de Janeiro local time).  The meeting will take place at room </span><b><span lang="EN-US" style="font-size:12pt">C116-
Bloco C - CT</span></b><b><span lang="DE" style="font-size:12pt"> – Instituto de Matemática – UFRJ. </span></b><span lang="DE" style="font-size:12pt">There will be no transmission
online. </span><b><span lang="EN-US" style="font-size:12pt"></span></b></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:0in 0in 10pt;font-size:11pt;font-family:Calibri,sans-serif"><span lang="DE" style="font-size:12pt"> </span></p>

<p class="MsoNormal" style="margin:0in 0in 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">Speaker: <b>  Glauco Valle (IM-UFRJ)</b></span></p>

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<p class="MsoNormal" style="line-height:normal;margin:0in 0in 10pt;font-size:11pt;font-family:Calibri,sans-serif"><span lang="EN-US" style="font-size:12pt;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">Title: <b>Invariant
measures for substitutions on countable alphabets</b></span></p>

<p class="MsoNormal" style="margin:0in 0in 10pt;line-height:115%;font-size:11pt;font-family:Calibri,sans-serif"><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">Abstract: We will present results on
the existence and uniqueness of shift-invariant measures associated with
substitutions in countably infinite alphabets. Specifically, we consider shift
dynamical systems associated with irreducible substitutions that have well-established
properties in the case of finite alphabets. Based on the properties of a matrix
of countable integers related to the substitution, we can obtain results on the
invariant measures such as the existence or not of invariant probability
measures.</span></p>

<p class="MsoNormal" style="line-height:normal;margin:0in 0in 10pt;font-size:11pt;font-family:Calibri,sans-serif"><span lang="EN-US" style="font-size:12pt;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:normal;margin:0in 0in 10pt;font-size:11pt;font-family:Calibri,sans-serif"><span lang="EN-US" style="font-size:12pt">More complete information
about the seminars can be found at</span></p>

<p class="MsoNormal" style="margin:0in 0in 10pt;line-height:115%;font-size:11pt;font-family:Calibri,sans-serif"><span lang="EN-US"><a href="https://ppge.im.ufrj.br/seminarios-de-probabilidade/" target="_blank">https://ppge.im.ufrj.br/seminarios-de-probabilidade/</a></span></p>

<p class="MsoNormal" style="margin:0in 0in 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><span lang="EN-US" style="font-size:12pt;line-height:115%"></span></p>

<p class="MsoNormal" style="margin:0in 0in 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>

<p class="MsoNormal" style="margin:0in 0in 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></div><div><br></div><span class="gmail_signature_prefix">-- </span><br><div dir="ltr" class="gmail_signature" data-smartmail="gmail_signature"><div dir="ltr">Maria Eulalia Vares<div>Professora Titular - Instituto de Matemática - UFRJ</div><div>Coordenadora do Programa de Pós-Graduação em Estatística</div><div><a href="https://ppge.im.ufrj.br/" target="_blank">https://ppge.im.ufrj.br/</a></div><div><br></div></div></div></div><div id="m_-2595704165176416033DAB4FAD8-2DD7-40BB-A1B8-4E2AA1F9FDF2"></div></div><div dir="ltr" class="gmail_signature" data-smartmail="gmail_signature"><div dir="ltr"><br><div><br></div></div></div></div>