<html><head><meta http-equiv="content-type" content="text/html; charset=utf-8"></head><body dir="auto"><span style="font-family: Calibri, sans-serif; font-size: 11pt; background-color: white; color: rgb(7, 55, 99);"><img width="115" height="37" style="width:1.1979in;height:.3854in" id="Picture_x0020_3" alt="Department of Statistics and Data Science
" src="cid:image001.png@01D7BA95.1F6C1770"></span><span style="font-size: 11pt; background-color: white; font-family: "Microsoft YaHei Light", sans-serif; color: rgb(7, 55, 99);"> <a href="https://statistics.yale.edu/" target="_blank" title="Home"><span style="font-size: 22pt;">Department of Statistics and Data Science </span></a></span><blockquote type="cite"><div dir="ltr"><div class="WordSection1"><p class="MsoNormal" style="background:white"><u><span style="font-size:16.0pt;color:#073763;mso-fareast-language:JA">You are invited to a scheduled Zoom Seminar</span></u><u><span style="mso-fareast-language:JA"><o:p></o:p></span></u></p><h1 style="mso-margin-top-alt:.1in;margin-right:0in;margin-bottom:0in;margin-left:0in;background:white"><span style="font-size:23.0pt;font-family:Mallory;color:#003C76;text-transform:uppercase;font-weight:normal">VAN VU</span><span style="font-size:13.0pt;font-family:Mallory;color:#222222">, </span><span class="odd"><span style="font-size:13.0pt;font-family:Mallory;color:#222222">Yale University</span></span><span style="font-size:13.0pt;font-family:Mallory;color:#222222;font-weight:normal"><o:p></o:p></span></h1><p class="MsoNormal" style="background:white"><!--[if gte vml 1]><v:shapetype id="_x0000_t75" coordsize="21600,21600" o:spt="75" o:preferrelative="t" path="m@4@5l@4@11@9@11@9@5xe" filled="f" stroked="f">
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</v:shape><![endif]--><!--[if !vml]--><img width="105" height="126" style="width:1.0937in;height:1.3125in" align="left" hspace="12" v:shapes="Picture_x0020_3" src="cid:image004.jpg@01D7BA95.22602A20"><!--[endif]--><span class="date-display-single"><span style="font-size:13.5pt;font-family:Mallory;color:#003C76">Monday, October 11, 2021 <o:p></o:p></span></span></p><p class="MsoNormal" style="background:white"><span class="date-display-single"><span style="font-size:13.5pt;font-family:Mallory;color:#003C76">4:00pm – 5:00pm</span></span><span style="font-size:13.5pt;font-family:Mallory;color:#003C76"><o:p></o:p></span></p><p class="MsoNormal" style="background:white"><span style="font-size:13.0pt;font-family:Mallory;color:#222222">Zoom: <a href="https://yale.zoom.us/j/99169700816?pwd=SWEvWHI5d3dPNVdHMkZMZURMWWJPUT09">https://yale.zoom.us/j/99169700816?pwd=SWEvWHI5d3dPNVdHMkZMZURMWWJPUT09</a> <o:p></o:p></span></p><p class="MsoNormal" style="background:white"><span style="font-size:13.0pt;font-family:Mallory;color:#222222">Password: 24<o:p></o:p></span></p><p class="MsoNormal" style="background:white"><span style="font-size:13.0pt;font-family:Mallory;color:#222222"><a href="https://campuspress.yale.edu/vanvu/"><span style="font-size:12.0pt;color:#003C76">Website</span></a><o:p></o:p></span></p><p class="MsoNormal" style="background:white"><span style="font-size:13.0pt;font-family:Mallory;color:#222222"><o:p> </o:p></span></p><p class="MsoNormal" style="background:white"><span style="font-size:13.0pt;font-family:Mallory;color:#222222"><o:p> </o:p></span></p><p class="MsoNormal" style="background:white"><b><span style="font-size:15.0pt;font-family:Mallory;color:#222222">Title: Reaching consensus: the power of few.<o:p></o:p></span></b></p><p class="MsoNormal" style="background:white"><span style="font-size:13.0pt;font-family:Mallory;color:#222222"><o:p> </o:p></span></p><p class="MsoNormal" style="background:white"><b><span style="font-size:13.0pt;font-family:Mallory;color:#222222">Information and Abstract: <o:p></o:p></span></b></p><p style="mso-margin-top-alt:0in;margin-right:0in;margin-bottom:12.0pt;margin-left:0in;background:white;box-sizing: inherit"><span style="font-size:13.0pt;font-family:Mallory;color:#222222">We study the following process (popular in game theory and mathematical physics): Let G be a graph connecting individuals in a society. Split the vertex set V into two camps: Red and Blue (representing different opinions). Each day, each person changes his/her opinion according to the majority rule with respect to his/her neighborhood. A color wins if at some stage everyone has that color. <o:p></o:p></span></p><p style="mso-margin-top-alt:0in;margin-right:0in;margin-bottom:12.0pt;margin-left:0in;background:white;box-sizing: inherit"><span style="font-size:13.0pt;font-family:Mallory;color:#222222"> If G is a random graph (G(n,1/2), say) and Red and Blue has the same size, then, by symmetry, Red and Blue win with probability .5. We have discovered a new phenomenon which we call <o:p></o:p></span></p><p style="mso-margin-top-alt:0in;margin-right:0in;margin-bottom:12.0pt;margin-left:0in;background:white;box-sizing: inherit"><span style="font-size:13.0pt;font-family:Mallory;color:#222222">“the power of few”: if Red has only a few more vertices, then its chance to win is close to 1. In particular, if 6 persons move from Blue camp to Red camp, then Red wins with probability at least .9. The key here is that “few” is an absolute constant and does not depend on the size of the camps. <o:p></o:p></span></p><p style="mso-margin-top-alt:0in;margin-right:0in;margin-bottom:12.0pt;margin-left:0in;background:white;box-sizing: inherit"><span style="font-size:13.0pt;font-family:Mallory;color:#222222"> In the talk, I will survey the topic, present a few ideas behind the proofs, and discuss several open questions. <o:p></o:p></span></p><p style="margin:0in;background:white;box-sizing: inherit"><span style="font-size:13.0pt;font-family:Mallory;color:#222222">You are invited to a scheduled Zoom meeting. Zoom is Yale’s audio and visual conferencing platform.<o:p></o:p></span></p><p style="margin:0in;background:white;box-sizing: inherit"><span style="font-size:13.0pt;font-family:Mallory;color:#222222">Topic: Yale S&DS Department Seminar<o:p></o:p></span></p><p style="margin:0in;background:white;box-sizing: inherit"><span style="font-size:13.0pt;font-family:Mallory;color:#222222">Time: 4:00pm - 5:00pm<o:p></o:p></span></p><p style="margin:0in;background:white;box-sizing: inherit"><span style="font-size:13.0pt;font-family:Mallory;color:#222222">Join from PC, Mac, Linux, iOS or Android: <a href="https://yale.zoom.us/j/99169700816?pwd=SWEvWHI5d3dPNVdHMkZMZURMWWJPUT09" target="_blank"><span style="color:#286DC0">https://yale.zoom.us/j/99169700816?pwd=SWEvWHI5d3dPNVdHMkZMZURMWWJPUT09</span></a><o:p></o:p></span></p><p style="margin:0in;background:white;box-sizing: inherit"><span style="font-size:13.0pt;font-family:Mallory;color:#222222"> Password: 24<o:p></o:p></span></p><p style="margin:0in;background:white;box-sizing: inherit"><span style="font-size:13.0pt;font-family:Mallory;color:#222222"> Or Telephone</span><span style="font-size:13.0pt;font-family:"MS Gothic";color:#222222">：</span><span style="font-size:13.0pt;font-family:Mallory;color:#222222">203-432-9666 (2-ZOOM if on-campus) or 646 568 7788<o:p></o:p></span></p><p style="margin:0in;background:white;box-sizing: inherit"><span style="font-size:13.0pt;font-family:Mallory;color:#222222"> Meeting ID: 991 6970 0816<o:p></o:p></span></p><p style="margin:0in;background:white;box-sizing: inherit"><span style="font-size:13.0pt;font-family:Mallory;color:#222222"> International numbers available: <a href="https://yale.zoom.us/u/acBOaD1ic6" target="_blank"><span style="color:#286DC0">https://yale.zoom.us/u/acBOaD1ic6</span></a><o:p></o:p></span></p><p style="margin:0in;background:white;box-sizing: inherit"><span style="font-size:13.0pt;font-family:Mallory;color:#222222">For H.323 and SIP information for video conferencing units please click here: <a href="https://yale.service-now.com/it?id=support_article&sys_id=434b72d3db9e8fc83514b1c0ef961924" target="_blank"><span style="color:#286DC0">https://yale.service-now.com/it?id=support_article&sys_id=434b72d3db9e8fc83514b1c0ef961924</span></a><o:p></o:p></span></p><p class="MsoNormal"><span style="mso-fareast-language:JA"><o:p> </o:p></span></p><p class="MsoNormal"><o:p> </o:p></p></div></div></blockquote><style><!--
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