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BEGIN:VEVENT
DTSTAMP:20260915T061358Z
LAST-MODIFIED:20151102T144338Z
DTSTART:20151118T160000Z
DTEND:20151118T170000Z
UID:event1514@bu.edu
URL:http://physics.bu.edu/internal/events/show/1514
SUMMARY:Ergodicity breaking in invariant matrix models
DESCRIPTION:Featuring Fabio Franchini\, SISSA\n\nPart of the Condensed Matt
	er Theory Seminar Series.\n\nAbstract:\nWe introduce the study of the eigen
	vectors of a random matrix.\nTraditionally\, the requirement of base invari
	ance has lead to the conclusion that invariant models describe extended sys
	tems.\nWe show that deviations of the eigenvalue statistics from the Wigner
	-Dyson universality reflects itself on the eigenvector distribution.\nIn pa
	rticular\, gaps in the eigenvalue density spontaneously break the U(N) symm
	etry to a smaller one.\nModels with log-normal weight\, such as those emerg
	ing in Chern-Simons and ABJM theories\, break the U(N) in a critical way\, 
	resulting into a multi-fractal eigenvector statistics.\nThese results pave 
	the way to the exploration of localization problems using random matrices v
	ia the study of new classes of observables and potentially to novel\, inter
	disciplinary\, applications of matrix models.
LOCATION:SCI 328\, 590 Commonwealth Avenue\, 02215
STATUS:CONFIRMED
CLASS:PUBLIC
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