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TZID:Europe/Paris
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UID:5946@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20220930T110000
DTEND;TZID=Europe/Paris:20220930T120000
DTSTAMP:20241120T200703Z
URL:https://www.i2m.univ-amu.fr/evenements/interval-exchange-permutations/
SUMMARY:Anton Zorich (IMJ-PRG\, Paris): Interval exchange permutations
DESCRIPTION:Anton Zorich: Anton ZORICH\nTwenty years ago Vladimir Arnold po
 sed a question on asymptotic statistics of cycle decomposition of special 
 permutations of large number of elements\; such permutations can be seen a
 s random integral exchange transformations with a fixed permutation. It wa
 s proved by I. Pak and A. Redlich in 2008 that a random interval exchange 
 permutation (A\,B\,C) -&gt\; (C\,B\,A) is transitive with asymptotic proba
 bility $6/pi^2$. However\, there was no further progress in Arnold's probl
 em ever since.I will present a solution of Arnold's problem for an arbitra
 ry permutation based\, as usual\, on combination of combinatorics\, geomet
 ry\, and dynamics of the moduli space of Abelian differentials. En route I
  will suggest some further conjectures. I will try to make the talk access
 ible to a general audience. The talk would be in English or in French depe
 nding on preferences of the audience.\n(joint work with V. Delecroix\, E. 
 Goujard\, and P. Zograf)\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/06/Anton_Zorich.jpg
CATEGORIES:Séminaire,Rauzy
LOCATION:Saint-Charles - FRUMAM  (2ème étage)\, 3 Place Victor Hugo\, Mar
 seille\, 13003\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=3 Place Victor Hugo\, Marse
 ille\, 13003\, France;X-APPLE-RADIUS=100;X-TITLE=Saint-Charles - FRUMAM  (
 2ème étage):geo:0,0
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DTSTART:20220327T030000
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