<div dir="ltr"><font face="arial, sans-serif" style="text-align:center"><div style="text-align:left"><font color="#000000">Caros colegas,</font></div><div style="text-align:left"><font color="#000000"><br></font></div><div style="text-align:left">na próxima <b>sexta-feira</b>, 19 de março, às <b>15h, </b>acontecerá o primeiro seminário do ciclo SPSP-IME-USP de 2021. As informações e os vídeos dos seminários estão disponíveis em <a href="https://sites.google.com/usp.br/psps-ime-usp" target="_blank">https://sites.google.com/usp.br/psps-ime-usp</a>.</div></font><font face="arial, sans-serif" style="text-align:center"><div style="text-align:left"><br></div></font><font face="arial, sans-serif" style="text-align:center"><div style="text-align:left">Um abraço,</div><div style="text-align:left">Aline Duarte</div><div style="text-align:left">-------------------------------</div><div style="text-align:left"><br></div><div style="text-align:left"><b><font color="#0000ff">Seminar on Probability and Stochastic Processes<br></font></b><br>Speaker: <span style="font-weight:700;box-sizing:border-box;color:rgb(0,0,0);font-family:Arial;font-variant-ligatures:none;white-space:pre-wrap">Yevgeniy Kovchegov</span> - (<span style="box-sizing:border-box;color:rgb(0,0,0);font-family:Arial;vertical-align:baseline">Oregon State University</span>)<br><font color="#ff0000">Next Friday, March 19th - 3pm</font><br>Live on Google Meets: <a href="https://meet.google.com/ncm-neqz-dut" target="_blank">https://meet.google.com/ncm-neqz-dut</a><br>Video recording will be available on: <a href="https://sites.google.com/usp.br/psps-ime-usp" target="_blank">https://sites.google.com/usp.br/psps-ime-usp</a><br><br><p dir="ltr" style="box-sizing:border-box;font-variant-ligatures:none;margin:0px;outline:none;color:rgb(33,33,33);font-size:13pt;text-decoration-line:inherit;font-family:"Open Sans";line-height:1.6;padding-top:0px;white-space:pre-wrap"></p><p dir="ltr" style="box-sizing:border-box;font-variant-ligatures:none;margin:15px 0px 0px;outline:none;color:rgb(33,33,33);font-size:13pt;text-decoration-line:inherit;line-height:1.6;padding-bottom:0px;white-space:pre-wrap"><span style="box-sizing:border-box"><span style="font-weight:700;box-sizing:border-box">Title</span></span>: <span style="box-sizing:border-box;color:rgb(0,0,0);font-size:12pt;vertical-align:baseline">Invariant Galton-Watson measures</span></p><p dir="ltr" style="box-sizing:border-box;font-variant-ligatures:none;margin:0px;outline:none;color:rgb(33,33,33);font-size:13pt;font-style:inherit;font-weight:inherit;text-decoration:inherit;line-height:1.6;padding-top:0px;padding-left:0px"><span style="box-sizing:border-box"><span style="font-weight:700;box-sizing:border-box">Abstract</span></span>: <span style="box-sizing:border-box;color:rgb(0,0,0);font-size:12pt;vertical-align:baseline">We introduce a one-parameter family of critical Galton-Watson tree measures invariant under the operation of Horton pruning (cutting tree leaves followed by series reduction). Under a regularity condition, this family of measures are the attractors of critical Galton-Watson trees under consecutive Horton pruning. The invariant Galton-Watson (IGW) measures with i.i.d. exponential edge lengths are the only Galton-Watson measures invariant with respect to all admissible types of generalized dynamical pruning (an operation of erasing a tree from leaves down to the root).</span></p><p dir="ltr" style="box-sizing:border-box;font-variant-ligatures:none;margin:0px;outline:none;color:rgb(33,33,33);font-size:13pt;font-style:inherit;font-weight:inherit;text-decoration:inherit;line-height:1.38;background-color:transparent;border-width:initial;border-style:none;border-color:initial;padding:0px"><span style="box-sizing:border-box;color:rgb(0,0,0);font-size:12pt;vertical-align:baseline">This is a joint work with Ilya Zaliapin (University of Nevada Reno) and Guochen Xu (Oregon State University).</span></p></div><div style="text-align:left"><br></div></font></div>