Felix Hermann (Universität Freiburg)
On Dualities of Random Graphs and Branching Processes with Disasters to Piecewise Deterministic Markov Processes
| Was |
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| Wann |
07.03.2019 von 11:00 bis 12:00 |
| Wo | Room 232, Ernst-Zermelo-Straße 1, Freiburg i. Br. |
| Termin übernehmen |
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Abstract:
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.