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DTSTART:20240331T030000
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BEGIN:VEVENT
DTSTAMP:20240806T021412Z
UID:1701789300@ist.ac.at
DTSTART:20231205T161500
DTEND:20231205T171500
DESCRIPTION:Speaker: Volodymyr Riabov\nhosted by Laszlo ErdÃ¶s\nAbstract: W
e establish universal Gaussian fluctuations for the mesoscopic linear eige
nvalue statistics in the vicinity of the cusp-like singularities of the li
miting spectral density for Wigner-type random matrices. Prior to this wor
k\, the linear eigenvalue statistics at the cusp-like singularities were n
ot studied in any ensemble. Our analysis covers not only the exact cusps b
ut the entire transitionary regime from the square-root singularity at a r
egular edge through the sharp cusp to the bulk. We identify a new one-para
meter family of functionals that govern the limiting bias and variance\, c
ontinuously interpolating between the previously known formulas in the bul
k and at a regular edge. Since cusps are the only possible singularities b
esides the regular edges\, our result gives a complete description of the
linear eigenvalue statistics in all regimes.
LOCATION:Heinzel Seminar Room (I21.EG.101)\, Office Building West\, ISTA\,
ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Volodymyr Riabov: Linear Eigenvalue Statistics at the Cusp
URL:https://talks-calendar.ista.ac.at/events/4600
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