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TZID:Europe/Paris
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BEGIN:VEVENT
UID:7607@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20170315T143000
DTEND;TZID=Europe/Paris:20170315T160000
DTSTAMP:20241120T204424Z
URL:https://www.i2m.univ-amu.fr/evenements/projections-of-orbital-measures
 -splines-and-determinantal-formulas/
SUMMARY:Alexander Bufetov (...): Projections of orbital measures\, splines 
 and determinantal formulas
DESCRIPTION:Alexander Bufetov: Let M be an Hermitian nxn matrix (over C) wi
 th the given spectrum X. If we take the principal minor M_k of size kxk\, 
 what will be the propability of M_k to have the spectrum Y?\nFor the simpl
 est case\, when k=1\, the the observation by Okounkov yields that the dist
 ribution of the element M_11 is given by the B-spline with knots in the ei
 genvalues of M.\n\nMore recently\, Olshanski in 2013 and Faraut in 2014 sh
 owed that for arbitrary k\nThe talk will be devoted to the discussion of t
 hese results\, and their generalization to the case of anti-symmetric and 
 Hamiltonian matrices\, obtained by the speaker in 2016.\n\nIf time permits
 \, we shall also try to discuss how these formulas are connected with the 
 Defosseux's determinantal point process on the eigenvalues of M and all it
 s principal minors.
CATEGORIES:Séminaire,Processus Déterminantaux (ERC IChaos)
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DTSTART:20161030T020000
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