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BEGIN:VEVENT
UID:7e2a96b7399aba3c62a0bdd1843ea088
CATEGORIES:Experimental Mathematics Seminar
CREATED:20220222T115326
SUMMARY:Sorting probabilities for Young diagrams
LOCATION:Zoom
DESCRIPTION:<p><em>Abstract</em>: Sorting probability for a partially ordered set P is 
 defined as the min |Pr[x &lt; y] - Pr[y &lt; x]| going over all pairs of el
 ements x,y in P, where Pr[x &lt; y] is the probability that in an uniformly
  random linear extension (extension to total order) x appears before y. The
  celebrated 1/3-2/3 conjecture states that for every poset the sorting prob
 ability is at most 1/3, i.e. there are two elements x and y, such that 1/3 
 ? Pr[x &lt; y] ? 2/3. The asymptotic extension of this conjecture states th
 at the sorting probability goes to 0 as the width (maximal antichain) of th
 e poset grows to infinity. We will prove the last conjecture for Young diag
 rams, where the linear extensions are Standard Young Tableaux. We also disc
 uss notable special cases relating to random walks. Based on joint works wi
 th Swee Hong Chan and Igor Pak.</p>
CONTACT:Greta Panova, University of Southern California
X-EXTRAINFO:Zoom Link: https://rutgers.zoom.us/j/94346444480\n [password: The 20th Cata
 lan number, alias (40)!/(20!*21!), alias 6564120420 ]
DTSTAMP:20260822T220506
DTSTART;TZID=America/New_York:20220303T170000
DTEND;TZID=America/New_York:20220303T180000
SEQUENCE:0
TRANSP:OPAQUE
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