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Quasi-processes for branching Markov chains

Oberseminar Darmstadt

Datum: 31.01.2019

Zeit: 16:15–17:45 Uhr

Abstract: The concept of a quasi-process stems from probabilistic potential
theory. Although the notion may not be that familiar nowadays, it is
connected to various current developments in probability. For instance,
interlacements as introduced by Sznitman are Poisson point processes
with the intensity measure being a quasi-process. Furthermore,
extensions of Markov families as recently derived for certain
self-similar Markov processes are closely related to quasi-processes and
entrance boundaries.

In this talk we start with a basic introduction of parts of classical
potential theory and then focus on branching Markov chains. The main
result will be a spine construction of a branching quasi-process.

The talk is based on joint work with Martin Maiwald (WWU Münster).

Referent

Prof. Dr. Steffen Dereich, Universität Münster

Ort

TU Darmstadt S2|15 Raum 401
Schlossgartenstr. 7, 64289 Darmstadt

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


Kooperationspartner

Goethe-Universität Frankfurt am Main, Johannes Gutenberg-Universität Mainz

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