<div dir="ltr"><div class="gmail_quote"><div dir="ltr" class="gmail_attr"><br></div><br><div dir="ltr"><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%">Dear colleagues, </span></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>June 17</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: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>  Giulio Iacobelli (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>Structural
results for the Tree Builder Random Walk</b></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">Abstract: The Tree
Builder Random Walk<span> (TBRW)</span> is a
randomly growing tree built by a walker as <span>it
walks</span> around the tree. At each time<span> </span>n, <span>the walker</span> adds a leaf to <span>its</span> current vertex with probability p_n and
then moves to a uniform random neighbor on the possibly modified tree. When
p_n= n^{-\gamma} with<span> </span>\gamma\in (2/3,1]<span>,</span> we show that the tree process at its growth
times can be coupled to be identical to the Barabási-Albert<span> (BA)</span> preferential attachment<span> </span>model. The coupling also implies that many
properties known for the BA-model, such as diameter and degree distribution,
can be directly transferred to our TBRW<span>-</span>model. </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" style="font-size:12pt;line-height:115%"><a href="http://www.dme.ufrj.br/?page_id=3481" target="_blank">http://www.dme.ufrj.br/?page_id=3481</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"><br></p></div></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></div></div>