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UID:d9469e6e9f3b815ae97865578addc4d6
CATEGORIES:Combinatorics-related Open Problems seminar (CROPS)
CREATED:20220919T130612
SUMMARY:Patterns in special permutation prefixes
LOCATION:Zoom
DESCRIPTION:Abstract: Most of the permutation patterns literature considers avoidance o
 f various patterns in a set of permutations of given size. However, in many
  real-life situations, we do not observe the whole permutation at the begin
 ning, but we see its elements one by one. Respectively, we often stop looki
 ng at the new elements of the permutation once a certain condition holds fo
 r the observed prefix (e.g., think of the popular secretary problem). How m
 any of these prefixes do not have an increasing subsequence of length 3? In
  general, how many prefixes avoid a given permutation pattern? Some compute
 r simulations give promising coincidences with several OEIS sequences for v
 arious stopping rules.\n
X-ALT-DESC;FMTTYPE=text/html:<p><em>Abstract</em>: Most of the permutation patterns literature considers
  avoidance of various patterns in a set of permutations of given size. Howe
 ver, in many real-life situations, we do not observe the whole permutation 
 at the beginning, but we see its elements one by one. Respectively, we ofte
 n stop looking at the new elements of the permutation once a certain condit
 ion holds for the observed prefix (e.g., think of the popular&nbsp;<em>secr
 etary problem</em>). How many of these prefixes do not have an increasing s
 ubsequence of length 3? In general, how many prefixes avoid a given permuta
 tion pattern? Some computer simulations give promising coincidences with se
 veral OEIS sequences for various stopping rules.</p>
CONTACT:Stoyan Dimitrov, Rutgers University
X-EXTRAINFO:Zoom link: https://us04web.zoom.us/j/74868098289\nPassword: 112515
DTSTAMP:20260827T094944
DTSTART;TZID=America/New_York:20220923T121500
DTEND;TZID=America/New_York:20220923T124500
SEQUENCE:0
TRANSP:OPAQUE
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