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<span style="margin:0px;color:rgb(7, 55, 99)"><img alt="Department of Statistics and Data Science
" style="width: initial; height: initial; max-width: 100%;" size="6496" contenttype="image/png" data-outlook-trace="F:1|T:1" src="cid:95706024-75d1-436b-8ba8-bf3151dc7f6f"></span><span style="margin:0px;font-family:"Microsoft YaHei Light", sans-serif;color:rgb(7, 55, 99)"> <span> </span><a href="https://statistics.yale.edu/" target="_blank" title="Home" style="margin:0px"><span style="margin:0px;font-size:22pt;color:rgb(5, 99, 193)">Department
of Statistics and Data Science </span></a></span><i><span style="margin:0px;font-size:22pt;font-family:"Microsoft YaHei Light", sans-serif;color:rgb(7, 55, 99)"></span></i><span style="margin:0px;font-family:"Microsoft YaHei Light", sans-serif"></span></p>
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<u><span style="margin:0px;font-size:16pt;color:rgb(7, 55, 99)">You are invited to a scheduled Zoom Seminar</span></u><u><span style="margin:0px"></span></u></p>
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<span style="margin:0px;font-weight:normal;font-size:23pt;font-family:Mallory;color:rgb(0, 60, 118);text-transform:uppercase">VAN VU</span><span style="margin:0px;font-size:13pt;font-family:Mallory;color:rgb(34, 34, 34)">, </span><span class="x_odd" style="margin:0px"><span style="margin:0px;font-size:13pt;font-family:Mallory;color:rgb(34, 34, 34)">Yale
University</span></span><span style="margin:0px;font-weight:normal;font-size:13pt;font-family:Mallory;color:rgb(34, 34, 34)"></span></h1>
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<img align="left" style="width: initial; height: initial; max-width: 100%;" size="3242" contenttype="image/jpeg" data-outlook-trace="F:1|T:1" src="cid:e162e873-c972-4585-8eb3-74db2973440e"><span class="x_date-display-single" style="margin:0px"><span style="margin:0px;font-size:13.5pt;font-family:Mallory;color:rgb(0, 60, 118)">Monday,
October 11, 2021</span></span></p>
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<span class="x_date-display-single" style="margin:0px"><span style="margin:0px;font-size:13.5pt;font-family:Mallory;color:rgb(0, 60, 118)">4:00pm ˇV 5:00pm</span></span><span style="margin:0px;font-size:13.5pt;font-family:Mallory;color:rgb(0, 60, 118)"></span></p>
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<span style="margin:0px;font-size:13pt;font-family:Mallory;color:rgb(34, 34, 34)">Zoom:<span> </span><a href="https://yale.zoom.us/j/99169700816?pwd=SWEvWHI5d3dPNVdHMkZMZURMWWJPUT09" style="margin:0px">https://yale.zoom.us/j/99169700816?pwd=SWEvWHI5d3dPNVdHMkZMZURMWWJPUT09</a></span></p>
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<span style="margin:0px;font-size:13pt;font-family:Mallory;color:rgb(34, 34, 34)">Password: 24</span></p>
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<span style="margin:0px;font-size:13pt;font-family:Mallory;color:rgb(34, 34, 34)"><a href="https://campuspress.yale.edu/vanvu/" style="margin:0px"><span style="margin:0px;font-size:12pt;color:rgb(0, 60, 118)">Website</span></a></span></p>
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<span style="margin:0px;font-size:13pt;font-family:Mallory;color:rgb(34, 34, 34)"> </span></p>
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<span style="margin:0px;font-size:13pt;font-family:Mallory;color:rgb(34, 34, 34)"> </span></p>
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<b><span style="margin:0px;font-size:15pt;font-family:Mallory;color:rgb(34, 34, 34)">Title: Reaching consensus: the power of few.</span></b></p>
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<span style="margin:0px;font-size:13pt;font-family:Mallory;color:rgb(34, 34, 34)"> </span></p>
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<b><span style="margin:0px;font-size:13pt;font-family:Mallory;color:rgb(34, 34, 34)">Information and Abstract: </span></b></p>
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<span style="margin:0px;font-size:13pt;font-family:Mallory;color:rgb(34, 34, 34)">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. </span></p>
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<span style="margin:0px;font-size:13pt;font-family:Mallory;color:rgb(34, 34, 34)"> 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 </span></p>
<p style="font-family:"Segoe UI", "Segoe UI Web (West European)", "Segoe UI", -apple-system, system-ui, Roboto, "Helvetica Neue", sans-serif;font-size:14px;margin-right:0in;margin-bottom:12pt;margin-left:0in;background:white">
<span style="margin:0px;font-size:13pt;font-family:Mallory;color:rgb(34, 34, 34)">ˇ§the power of fewˇ¨: 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 ˇ§fewˇ¨ is an absolute constant and does not depend on the size of the camps. </span></p>
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<span style="margin:0px;font-size:13pt;font-family:Mallory;color:rgb(34, 34, 34)"> In the talk, I will survey the topic, present a few ideas behind the proofs, and discuss several open questions. </span></p>
<p style="font-family:"Segoe UI", "Segoe UI Web (West European)", "Segoe UI", -apple-system, system-ui, Roboto, "Helvetica Neue", sans-serif;font-size:14px;margin:0in;background:white">
<span style="margin:0px;font-size:13pt;font-family:Mallory;color:rgb(34, 34, 34)">You are invited to a scheduled Zoom meeting. Zoom is Yaleˇ¦s audio and visual conferencing platform.</span></p>
<p style="font-family:"Segoe UI", "Segoe UI Web (West European)", "Segoe UI", -apple-system, system-ui, Roboto, "Helvetica Neue", sans-serif;font-size:14px;margin:0in;background:white">
<span style="margin:0px;font-size:13pt;font-family:Mallory;color:rgb(34, 34, 34)">Topic: Yale S&DS Department Seminar</span></p>
<p style="font-family:"Segoe UI", "Segoe UI Web (West European)", "Segoe UI", -apple-system, system-ui, Roboto, "Helvetica Neue", sans-serif;font-size:14px;margin:0in;background:white">
<span style="margin:0px;font-size:13pt;font-family:Mallory;color:rgb(34, 34, 34)">Time: 4:00pm - 5:00pm</span></p>
<p style="font-family:"Segoe UI", "Segoe UI Web (West European)", "Segoe UI", -apple-system, system-ui, Roboto, "Helvetica Neue", sans-serif;font-size:14px;margin:0in;background:white">
<span style="margin:0px;font-size:13pt;font-family:Mallory;color:rgb(34, 34, 34)">Join from PC, Mac, Linux, iOS or Android: <a href="https://yale.zoom.us/j/99169700816?pwd=SWEvWHI5d3dPNVdHMkZMZURMWWJPUT09" target="_blank" style="margin:0px"><span style="margin:0px;color:rgb(40, 109, 192)">https://yale.zoom.us/j/99169700816?pwd=SWEvWHI5d3dPNVdHMkZMZURMWWJPUT09</span></a></span></p>
<p style="font-family:"Segoe UI", "Segoe UI Web (West European)", "Segoe UI", -apple-system, system-ui, Roboto, "Helvetica Neue", sans-serif;font-size:14px;margin:0in;background:white">
<span style="margin:0px;font-size:13pt;font-family:Mallory;color:rgb(34, 34, 34)"> Password: 24</span></p>
<p style="font-family:"Segoe UI", "Segoe UI Web (West European)", "Segoe UI", -apple-system, system-ui, Roboto, "Helvetica Neue", sans-serif;font-size:14px;margin:0in;background:white">
<span style="margin:0px;font-size:13pt;font-family:Mallory;color:rgb(34, 34, 34)"> Or Telephone</span><span style="margin:0px;font-size:13pt;font-family:"MS Gothic";color:rgb(34, 34, 34)">ˇG</span><span style="margin:0px;font-size:13pt;font-family:Mallory;color:rgb(34, 34, 34)">203-432-9666
(2-ZOOM if on-campus) or 646 568 7788</span></p>
<p style="font-family:"Segoe UI", "Segoe UI Web (West European)", "Segoe UI", -apple-system, system-ui, Roboto, "Helvetica Neue", sans-serif;font-size:14px;margin:0in;background:white">
<span style="margin:0px;font-size:13pt;font-family:Mallory;color:rgb(34, 34, 34)"> Meeting ID: 991 6970 0816</span></p>
<p style="font-family:"Segoe UI", "Segoe UI Web (West European)", "Segoe UI", -apple-system, system-ui, Roboto, "Helvetica Neue", sans-serif;font-size:14px;margin:0in;background:white">
<span style="margin:0px;font-size:13pt;font-family:Mallory;color:rgb(34, 34, 34)"> International numbers available: <a href="https://yale.zoom.us/u/acBOaD1ic6" target="_blank" style="margin:0px"><span style="margin:0px;color:rgb(40, 109, 192)">https://yale.zoom.us/u/acBOaD1ic6</span></a></span></p>
<p style="font-family:"Segoe UI", "Segoe UI Web (West European)", "Segoe UI", -apple-system, system-ui, Roboto, "Helvetica Neue", sans-serif;font-size:14px;margin:0in;background:white">
<span style="margin:0px;font-size:13pt;font-family:Mallory;color:rgb(34, 34, 34)">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" style="margin:0px"><span style="margin:0px;color:rgb(40, 109, 192)">https://yale.service-now.com/it?id=support_article&sys_id=434b72d3db9e8fc83514b1c0ef961924</span></a></span></p>
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