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"Vergesst die Zeit. Ich will euch Geschichten erzählen." : Der Kinderbuchforscher Klaus Doderer veröffentlicht Biografie von James Krüss
Rezension zu: Klaus Doderer : James Krüss – Insulaner und Weltbürger Hamburg 2009, Carlsen Verlag, 363 Seiten, ISBN 978-3-551-58213-3, 19,90 Euro
Upper large deviations for power-weighted edge lengths in spatial random networks
We study the large-volume asymptotics of the sum of power-weighted edge
lengths in Poisson-based spatial random networks. In
the regime , we provide a set of sufficient conditions under which
the upper large deviations asymptotics are characterized by a condensation
phenomena, meaning that the excess is caused by a negligible portion of Poisson
points. Moreover, the rate function can be expressed through a concrete
optimization problem. This framework encompasses in particular directed,
bidirected and undirected variants of the -nearest neighbor graph, as well
as suitable -skeletons.Comment: 27 pages, 5 figure
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