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BEGIN:VEVENT
UID:b3213784fe3192d89ac1606c32a348f5
CATEGORIES:Symmetric Functions & Probability Theory Seminar
CREATED:20250226T154503
SUMMARY:Random Fibonacci Words
LOCATION:Hill 705
DESCRIPTION:<h3 dir="ltr" style="line-height: 1.25; margin-top: 0pt; margin-bottom: 0pt
 ;"><span style="font-size: 11pt; font-family: Lato; color: #212121; backgro
 und-color: transparent; font-weight: bold; font-style: normal; font-variant
 : normal; text-decoration: none; vertical-align: baseline; white-space: pre
 -wrap;">Date</span><span style="font-size: 11pt; font-family: Lato; color: 
 #212121; background-color: transparent; font-weight: 400; font-style: norma
 l; font-variant: normal; text-decoration: none; vertical-align: baseline; w
 hite-space: pre-wrap;">: 03/12/2025</span></h3><p dir="ltr" style="line-hei
 ght: 1.6667; margin-top: 9pt; margin-bottom: 0pt;"><span style="font-size: 
 11pt; font-family: Lato; color: #212121; background-color: transparent; fon
 t-weight: bold; font-style: normal; font-variant: normal; text-decoration: 
 none; vertical-align: baseline; white-space: pre-wrap;">Speaker</span><span
  style="font-size: 11pt; font-family: Lato; color: #212121; background-colo
 r: transparent; font-weight: 400; font-style: normal; font-variant: normal;
  text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">:
  </span><a href="https://lpetrov.cc/" style="text-decoration: none;"><span 
 style="font-size: 11pt; font-family: Lato; color: #006580; background-color
 : transparent; font-weight: 400; font-style: normal; font-variant: normal; 
 text-decoration: underline; vertical-align: baseline; white-space: pre-wrap
 ;">Leonid Petrov</span></a><span style="font-size: 11pt; font-family: Lato;
  color: #212121; background-color: transparent; font-weight: 400; font-styl
 e: normal; font-variant: normal; text-decoration: none; vertical-align: bas
 eline; white-space: pre-wrap;"> (Virginia)</span></p><p dir="ltr" style="li
 ne-height: 1.6667; margin-top: 9pt; margin-bottom: 0pt;"><span style="font-
 size: 11pt; font-family: Lato; color: #212121; background-color: transparen
 t; font-weight: bold; font-style: normal; font-variant: normal; text-decora
 tion: none; vertical-align: baseline; white-space: pre-wrap;">Title</span><
 span style="font-size: 11pt; font-family: Lato; color: #212121; background-
 color: transparent; font-weight: 400; font-style: normal; font-variant: nor
 mal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap
 ;">: Random Fibonacci Words</span></p><p><span style="font-size: 11pt; font
 -family: Lato; color: #212121; background-color: transparent; font-weight: 
 bold; font-style: normal; font-variant: normal; text-decoration: none; vert
 ical-align: baseline; white-space: pre-wrap;">Abstract</span><span style="f
 ont-size: 11pt; font-family: Lato; color: #212121; background-color: transp
 arent; font-weight: 400; font-style: normal; font-variant: normal; text-dec
 oration: none; vertical-align: baseline; white-space: pre-wrap;">: Fibonacc
 i words are words of 1's and 2's, graded by the total sum of the digits. Th
 ey form a differential poset YF which is an estranged cousin of the Young l
 attice powering irreducible representations of the symmetric group. We intr
 oduce families of "coherent" measures on YF depending on many parameters, w
 hich come from the theory of clone Schur functions (Okada 1994). We charact
 erize parameter sequences ensuring positivity of the measures, and we descr
 ibe the large-scale behavior of some ensembles of random Fibonacci words. T
 he subject has connections to total positivity of tridiagonal matrices, Sti
 eltjes moment sequences, orthogonal polynomials from the (q-)Askey scheme, 
 and residual allocation (stick-breaking) models. </span></p>
CONTACT:Leonid Petrov
DTSTAMP:20260901T071622
DTSTART;TZID=America/New_York:20250312T104500
DTEND;TZID=America/New_York:20250312T234500
SEQUENCE:0
TRANSP:OPAQUE
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