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UID:7127@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20190208T110000
DTEND;TZID=Europe/Paris:20190208T120000
DTSTAMP:20241120T203427Z
URL:https://www.i2m.univ-amu.fr/evenements/limits-of-graphs-and-l2-operato
 rs-agnes-backhausz-balazs-szegedy/
SUMMARY:Ágnes Backhausz (Eötvös Loránd University\, Hungary): Limits of
  graphs and L^2 operators - Ágnes Backhausz\, Balázs Szegedy
DESCRIPTION:Ágnes Backhausz: The goal of the talk is to give an overview o
 n graph limit theory\, its applications to the spectral theory of random g
 raphs\, and\, as a recent development\, its extension to operators acting 
 on L^2 spaces.\nIn the last 10-15 years\, it was demonstrated that a limit
 ing view on graphs can also provide a new approach to various problems in 
 probability theory. A major difficulty in graph limit theory is that it is
  a rather diverse subject\; different notions have been used\nfor sparse a
 nd dense graph sequences. In a recent paper\, we proposed the notion of ac
 tion convergence of operators acting on L^2 spaces\, which unifies dense g
 raph convergence and local-global convergence of bounded degree graphs. We
  give an introduction to action convergence\, and explain how it is relate
 d to random graphs and matrices.\n\nhttps://www.cambridge.org/core/journal
 s/canadian-journal-of-mathematics/article/action-convergence-of-operators-
 and-graphs/\n\nBalázs Szegedy website\n\n\n\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Agnes_Backhausz.jpg
CATEGORIES:Séminaire,Probabilités
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