<div dir="ltr"><div class="gmail_quote"><div dir="ltr"><div><br></div><div><p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:16.8667px;font-size:11pt;font-family:Calibri,"sans-serif""><span lang="EN-US" style="font-size:12pt;line-height:18.4px">Dear colleagues,</span></p><p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;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>September 18</b>,<b> </b>from <b>3:30 p.m. to 4:30 p.m</b>. (Rio de Janeiro local time).  This 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="margin:0cm 0cm 10pt;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="DE" style="font-size:12pt"> </span></p><p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:normal;font-size:11pt;font-family:Calibri,"sans-serif""><span lang="EN-US" style="font-size:12pt;color:black">Speaker:</span><b><span lang="EN-US" style="font-size:12pt;color:black"> Mariela Pentón Machado (IME-USP)</span></b></p><p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;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="margin:0cm 0cm 10pt;line-height:normal;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>Central Limit Theorem for the limit process of the discrete time RAP seen from the origin</b></span></p><p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;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">Abstract: </span><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"> Pablo Ferrari and Luiz Renato Fontes introduced The Random Average Process (RAP) in 98. We are interested in the discrete-time version of the RAP. This process is a random surface whose heights evolve taking a convex combination of the previous heights. In this dynamic, a random matrix of probabilities with independent and identically distributed rows determines the weights of the convex combinations. The process seen from the height in the origin is the random surface result of subtracting the height in the origin to all the heights in the initial surface. Under certain conditions, Ferrari and Fontes proved in 98 the existence of a limit process for the process seen from the height of the origin. In this talk I will discuss a Central Limit Theorem in the spacial variable for the limit process seen from  the height in the origin.  This is a joint work with Luiz Renato Fontes and Leonel Zuaznabar.</span></p><p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;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="margin:0cm 0cm 0.0001pt;line-height:normal;font-size:11pt;font-family:Calibri,"sans-serif""><span lang="EN-US" style="font-size:12pt"> </span></p><p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;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="margin:0cm 0cm 10pt;line-height:16.8667px;font-size:11pt;font-family:Calibri,"sans-serif""><span lang="EN-US" style="font-size:12pt;line-height:18.4px">More complete information about the seminars can be found at</span></p><p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:16.8667px;font-size:11pt;font-family:Calibri,"sans-serif""><span style="font-size:12pt;line-height:18.4px"><a href="http://www.dme.ufrj.br/?page_id=3398" style="color:rgb(5,99,193)" target="_blank"><span lang="EN-US" style="color:rgb(17,85,204);background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">http://www.dme.ufrj.br/?page_id=3398</span></a></span><span lang="EN-US" style="font-size:12pt;line-height:18.4px"></span></p><p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:16.8667px;font-size:11pt;font-family:Calibri,"sans-serif""><span style="font-size:12pt;line-height:18.4px">Sincerely,</span><span style="font-size:12pt;line-height:18.4px"></span></p><p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:16.8667px;font-size:11pt;font-family:Calibri,"sans-serif""><span style="font-size:12pt;line-height:18.4px">Organizers: Giulio Iacobelli e Maria Eulalia Vares</span></p></div></div>
</div></div>