<div dir="ltr"><div class="gmail_quote"><div dir="ltr"><br><div><span style="font-size:12pt;font-family:Calibri,"sans-serif"">Dear colleagues,</span><br></div><div>

<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 4</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="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="DE" style="font-size:12pt"> </span></p>

<p class="MsoNormal" style="line-height:normal;margin:0cm 0cm 10pt;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"> Guilherme Reis  (Technical
University of Munich)</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="line-height:normal;margin:0cm 0cm 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>Interacting
Edge-Reinforced Random Walks</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">Recall that in
the simple Random Walk (RW) on Z the walker, starting at 0, just jumps either
to the right or to the left with the same probability. It is a classical result
that the simple RW on Z is recurrent. In the Edge-Reinforced Random Walk (ERRW)
the walker keeps track of the edges already visited and gives extra bias to the
edges mostly visited. We would expect that the behavior of the ERRW depends on
the strength of the extra bias we decide to give to the edges. The ERRW is a
non-markovian process introduced by Diaconis and the first results about it
goes back to Davis in 1990. Davis showed, under some assumptions, that the ERRW
on Z is either recurrent or it localizes in a single edge with probability 1.
What would happen if instead of a single ERRW we consider two or more walkers
reinforcing the edges of Z? In an ongoing project, together with Nina Gantert
(TUM) and Fabian Michel (TUM), we plan to answer the above question.</span><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: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 can be found at</span></p>

<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:Calibri,"sans-serif""><a href="http://www.dme.ufrj.br/?page_id=3398" style="color:rgb(5,99,193)" 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">http://www.dme.ufrj.br/?page_id=3398</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 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:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:Calibri,"sans-serif""><span style="font-size:12pt;line-height:115%">Organizers: Giulio Iacobelli e Maria Eulalia Vares</span></p>

<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:Calibri,"sans-serif""><span style="font-size:12pt;line-height:115%"> </span></p></div></div>
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