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SUMMARY:Emanuele Verri (Universität Greifswald)
DTSTART:20230623T130000Z
DTEND:20230623T140000Z
DTSTAMP:20260423T021604Z
UID:ACPMS/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ACPMS/23/">C
 onjoined permutation patterns</a>\nby Emanuele Verri (Universität Greifsw
 ald) as part of Algebraic and Combinatorial Perspectives in the Mathematic
 al Sciences\n\n\nAbstract\nSome time ago\, Bandt introduced the concept of
  "permutation entropy" which proved very effective in the analysis of time
  series.\nThis index is based on certain permutation patterns.\nPermutatio
 n patterns play indeed a very central role in many areas of discrete mathe
 matics.\nMore recently\, in algebraic combinatorics\, Vargas introduced th
 e superinfiltration Hopf algebra whose operations behave well with respect
  to occurrences of permutation patterns.\nInspired by both these works\, w
 e introduce a new Hopf algebra which also includes the patterns used by Ba
 ndt.\nIts algebraic operations behave well with respect to occurrences of 
 permutation patterns where is also specified whether values are consecutiv
 e or arbitrarily far apart.\nTo encode whether two values are consecutive\
 , we use interval partitions of finite subsets of positive integers and al
 so introduce a new Hopf algebra on interval partitions.\nThis is joint wor
 k with Joscha Diehl.\n
LOCATION:https://researchseminars.org/talk/ACPMS/23/
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