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SUMMARY:Transition in the Eigenvalue Distribution for Self-Adjoint and Uni
 tary Operators
DTSTART:20100610T154500
DTSTAMP:20260407T101135Z
UID:782462aff655d891e1b7b8dcfeccfcd87d94b30cc477cfb99ae587c6
CATEGORIES:Conferences - Seminars
DESCRIPTION:Mihai Stoiciu\nWe describe a few classes of self-adjoint and u
 nitary operators which exhibit a transition in the distribution of their e
 igenvalues. More precisely\, we consider operators with various spectral m
 easures and investigate the change in their microscopic eigenvalue distrib
 ution. As the spectral measures approach an absolutely continuous measure\
 , the repulsion between the eigenvalues increases and the eigenvalue distr
 ibution converges to the ``clock" (or ``picket fence") distribution.
LOCATION:AAC006
STATUS:CONFIRMED
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