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UID:d9469e6e9f3b815ae97865578addc4d6
CATEGORIES:Combinatorics-related Open Problems seminar (CROPS)
CREATED:20220919T130612
SUMMARY:Patterns in special permutation prefixes
LOCATION:Zoom
DESCRIPTION:<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:20260827T103135
DTSTART;TZID=America/New_York:20220923T121500
DTEND;TZID=America/New_York:20220923T124500
SEQUENCE:0
TRANSP:OPAQUE
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