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SUMMARY:(Cyclically) consecutive 123-avoiding permutations
DTSTART;VALUE=DATE-TIME:20180430T141500Z
DTEND;VALUE=DATE-TIME:20180430T151500Z
DTSTAMP;VALUE=DATE-TIME:20200805T165108Z
UID:indico-event-3458@indico.math.cnrs.fr
DESCRIPTION:A permutation pi=(pi_1\,...\,pi_n) is consecutive 123-avoiding
if there\nis no index i such that pi_i < pi_{i+1} < pi_{i+2}. Similarly\,
a\npermutation pi is cyclically consecutive 123-avoiding if the indices\n
are viewed modulo n. These two definitions extend to (cyclically)\nconsecu
tive S-avoiding permutations\, where S is some collection of\npermutations
on m+1 elements. We determine the asymptotic behavior for\nthe number of
consecutive 123-avoiding permutations by studying an\noperator on the spac
e L^2([0\,1]^2). In fact\, we obtain an asymptotic\nexpansion for this num
ber. Furthermore we obtain an exact expression\nfor the number of cyclical
ly consecutive 123-avoiding permutations. A\nfew results will be stated ab
out the general case of (cyclically)\nconsecutive S-avoiding permutations.
Part of these results are joint\nwork with Sergey Kitaev and Peter Perry.
\n\nThe talk will be aimed at a general mathematical audience.\n\nhttps://
indico.math.cnrs.fr/event/3458/
LOCATION:UCBL-Braconnier Salle Fokko
URL:https://indico.math.cnrs.fr/event/3458/
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