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From heavy-tailed Boolean models to scale-free Gilbert graphs

Oberseminar Darmstadt

Datum: 05.10.2017

Zeit: 16:15–17:15 Uhr

Abstract: Define the scale-free Gilbert graph based on a Boolean model
with heavy-tailed radius distribution on the d-dimensional torus by
connecting two centers by an edge if at least one of the balls contains
the center of the other. We investigate two asymptotic properties of
this graph as the size of the torus tends to infinity:
i) the tail index associated with the asymptotic distribution of the sum
of all power-weighted incoming and outgoing edge lengths at a randomly
chosen vertex.
ii) chemical distances between distant nodes.

Referent

Christian Hirsch, Uni Mannheim

Ort

TU Darmstadt | Raum S2|15 401
Schlossgartenstraße 7, 64289 Darmstadt

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Veranstalter

Technische Universität Darmstadt

Fachbereich Mathematik - Stochastik
Schlossgartenstraße 7
64289 Darmstadt
Telefon: +49 6151 16-23380
Telefax: +49 6151 16-23381
info(at)stochastik-rhein-mainde

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