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Einladung zum Vortrag (Zoom) von Herrn Dr. Davide Bianchi (Harbin Institute of Technology, Shenzen, China) am 27.04.2022 - 14:00 Uhr im Rahmen des Forschungsseminars Analysis

[27.04.2022]

Im Rahmen des Forschungsseminars Analysis hält am Mittwoch, den 27. April 2022, um 14:00 Uhr,

Herr Dr. Davide Bianchi (Harbin Institute of Technology, Shenzen, China)

einen Vortrag zum Thema

ASYMPTOTIC SPECTRA OF LARGE GRAPHS WITH A UNIFORM LOCAL STRUCTURE

Abstract: We are concerned with sequences of graphs with a uniform local structure. The underlying sequence of adjacency matrices has a canonical eigenvalue distribution, in the Weyl sense, and it has been shown that we can associate to it a symbol f, [2]. The knowledge of the symbol and of its basic analytical features provides key information on the eigenvalue structure in terms of localization, spectral gap, clustering, and global distribution.

We discuss different applications and provide numerical examples in order to underline the practical use of the developed theory, [1]. In particular, we show how the knowledge of the symbol f.

• can benefit from iterative methods to solve Poisson equations on large graphs;

• provides insight on the recurrence/transience property of random walks on graphs.

Der Vortrag findet im Rahmen eines Zoom-Meetings statt. Bei Interesse an den Zugangsdaten bitte bei Herrn Prof. Mugnolo (delio.mugnolo@fernuni-hagen.de) melden.

mathinf.webteam | 06.04.2022