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BEGIN:VEVENT
UID:bcb75a4f8eaf45df0cf9b62b6ae63827
CATEGORIES:Symmetric Functions & Probability Theory Seminar
CREATED:20250210T110712
SUMMARY:Shuffling via transpositions
LOCATION:Hill 705
DESCRIPTION:Date: 02/19/2025Speaker: Evita Nestoridi (https://evitanestoridi.github.io/
 ) (Stony Brook)\nTitle: Shuffling via transpositions \nAbstract: In their s
 eminal work, Diaconis and Shahshahani proved that shuffling a deck of $n$ c
 ards sufficiently well via random transpositions takes $1/2 n log n$ steps.
  Their argument was algebraic and relied on the combinatorics of the symmet
 ric group. In this talk, I will focus on a generalization of random transpo
 sitions and I will discuss the underlying combinatorics for understanding t
 heir mixing behavior and indeed proving cutoff. The talk will be based on j
 oint work with S. Arfaee.\n
X-ALT-DESC;FMTTYPE=text/html:<div jscontroller="Ae65rd" jsaction="https://math.rutgers.edu/touchstart:Ur
 sOsc; click:KjsqPd; focusout:QZoaZ; mouseover:y0pDld; mouseout:dq0hvd;fv1Rj
 c:jbFSOd;CrfLRd:SzACGe;" style="display: inline-block; max-width: 100%; pos
 ition: relative;"><span style="font-family: Lato, Arial; font-size: 11pt; f
 ont-variant: normal; font-weight: bold; vertical-align: baseline;">Date</sp
 an><span style="font-size: 11pt; font-variant: normal; vertical-align: base
 line;">: 02/19/2025</span></div><p dir="ltr" style="margin: 12px 0px 0px; o
 utline: none; position: relative; color: #212121; font-size: 11pt; font-sty
 le: normal; font-weight: 400; font-family: Lato, sans-serif; line-height: 1
 .6667; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 
 0px; text-transform: none; widows: 2; word-spacing: 0px; white-space: norma
 l;"><span style="font-family: Lato, Arial; font-variant: normal; font-weigh
 t: bold;">Speaker</span><span style="font-variant: normal;">:&nbsp;</span><
 a href="https://evitanestoridi.github.io/" target="_blank" rel="noopener" s
 tyle="color: inherit; text-decoration: none;"><span style="color: #006580; 
 font-variant: normal; text-decoration: underline;">Evita Nestoridi</span></
 a><span style="font-variant: normal;">&nbsp;(Stony Brook)</span></p><p dir=
 "ltr" style="margin: 12px 0px 0px; outline: none; position: relative; color
 : #212121; font-size: 11pt; font-style: normal; font-weight: 400; font-fami
 ly: Lato, sans-serif; line-height: 1.6667; letter-spacing: normal; orphans:
  2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; w
 ord-spacing: 0px; white-space: normal;"><span style="font-family: Lato, Ari
 al; font-variant: normal; font-weight: bold;">Title</span><span style="font
 -variant: normal;">:&nbsp;</span>Shuffling via transpositions&nbsp;</p><p d
 ir="ltr" style="margin: 12px 0px 0px; outline: none; position: relative; co
 lor: #212121; font-size: 11pt; font-style: normal; font-weight: 400; font-f
 amily: Lato, sans-serif; line-height: 1.6667; padding-bottom: 0px; letter-s
 pacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-trans
 form: none; widows: 2; word-spacing: 0px; white-space: normal;"><span style
 ="font-family: Lato, Arial; font-variant: normal; font-weight: bold;">Abstr
 act</span><span style="font-variant: normal;">:&nbsp;</span><span style="co
 lor: #242424; font-family: Roboto, Arial; font-size: 11.5pt; font-weight: 4
 00; vertical-align: baseline;">In their seminal work, Diaconis and Shahshah
 ani proved that shuffling a deck of $n$ cards sufficiently well via random 
 transpositions takes $1/2 n log n$ steps. Their argument was algebraic and 
 relied on the combinatorics of the symmetric group. In this talk, I will fo
 cus on a generalization of random transpositions and I will discuss the und
 erlying combinatorics for understanding their mixing behavior and indeed pr
 oving cutoff. The talk will be based on joint work with S. Arfaee.</span></
 p>
CONTACT:Evita Nestoridi
DTSTAMP:20260830T062926
DTSTART;TZID=America/New_York:20250219T104500
DTEND;TZID=America/New_York:20250219T234500
SEQUENCE:0
TRANSP:OPAQUE
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