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Einladung zum Vortrag (Zoom) von Herrn Prof. Dr. Ernesto Estrada am 17.02.2021 - 14:30 Uhr im Rahmen des Forschungsseminars Analysis

[17.02.2021]

Im Rahmen des Forschungsseminars Analysis hält am Mittwoch, den 17. Februar 2021, um 14:30 Uhr,

Herr Prof. Dr. Ernesto Estrada (University of Zaragoza, Spain)

einen Vortrag zum Thema

Hubs-biased Laplacian operators and hubs-biased dynamics on graphs/networks

Abstract: I will start by motivating the topic by considering some dynamical processes on a graph, such as diffusive and synchronization ones. Then, I will introduce the notion of degree-biased dynamics and will motivate it with examples. At this point I will introduce the hubs-biased Laplacian operators for graphs and will present some of their properties, mainly spectral ones. I will use these operators in hubs-biased diffusion and synchronization on networks, such as in activation in brain networks, propagation flight delays in airports and sync of autonomous robots. Finally, I will introduce and briefly study the hubs-biased resistance metrics on graphs. I will dedicate a couple of slides to mention some future directions of this topic.

References:
Estrada E. ‘Hubs-repelling’Laplacian and related diffusion on graphs/networks. Linear Algebra and its Applications, 2020 596, 256-280.
Gambuzza LV, Frasca M, Estrada E. Hubs-attracting Laplacian and Related Synchronization on Networks. SIAM Journal on Applied Dynamical Systems. 2020, 19, 1057-79.

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

mathinf.webteam | 12.08.2021