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TZID:Europe/Vienna
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DTSTART:20190331T030000
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DTSTART:20191027T020000
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DTSTAMP:20191023T104627Z
UID:5b4d8fb087010985934487@ist.ac.at
DTSTART:20190516T160000
DTEND:20190516T170000
DESCRIPTION:Speaker: Agnes Backhausz\nhosted by Laszlo ErdÃ¶s\nAbstract: Th
e goal of the talk is to give an overview on the basic notions of graph li
mit theory\, and to present recent results about its applications to the s
pectral theory of random graphs and random matrices. By identifying contin
uous limit objects (e.g. L^2 operators) as the limit of convergent graph s
equences\, graph limit theory is a powerful combination of tools from anal
ysis\, combinatorics and probability theory. In the first part of the talk
\, we summarize the notions of local limit of bounded degree graphs\, the
limit of dense graph sequences\, and the recently defined notion of action
convergence\, which works for graphs of intermediate density as well. The
n we present two applications on the empirical distribution of eigenvector
s of random regular graphs and random sign matrices. Joint work with Balzs
Szegedy.
LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS
T Austria
ORGANIZER:cpetz@ist.ac.at
SUMMARY:Graph limits and spectral theory
URL:https://talks-calendar.app.ist.ac.at/events/1917
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