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Felix Hermann (Universität Freiburg)

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On Dualities of Random Graphs and Branching Processes with Disasters to Piecewise Deterministic Markov Processes

  • Oberseminar
When Mar 07, 2019
from 11:00 AM to 12:00 PM
Where Room 232, Ernst-Zermelo-Straße 1, Freiburg i. Br.
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We illustrate the interconnection between three classes of stochastic processes: As links between branching processes and random graphs frequently appear in the literature, we add to that a connection between birthdeath processes with disasters and duplication-based random graphs with edge deletion. For the third class of processes, i.e. a class of piecewise deterministic Markov processes we call p-jump processes, duality relations to a general class of branching processes with disasters as well as to duplication-based random graphs will be given. Via these relations, precise limit results we obtain for p-jump processes can be transferred to the other classes. Possible generalisations of these dualities will be discussed.

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