Measure-valued discrete branching Markov processes

Lucian Beznea; Oana Lupascu

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arXiv · 1507.08759

Measure-valued discrete branching Markov processes

Lucian Beznea·Oana Lupascu

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Abstract

We construct and study branching Markov processes on the space of finite configurations of the state space of a given standard process, controlled by a branching kernel and a killing one. In particular, we may start with a superprocess, obtaining a branching process with state space the finite configurations of positive finite measures on a topological space. A main tool in proving the path regularity of the branching process is the existence of convenient superharmonic functions having compact level sets, allowing the use of appropriate potential theoretical methods.

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Lucian Beznea, Oana Lupascu. 2015-07-31. Measure-valued discrete branching Markov processes. https://arxiv.org/abs/1507.08759

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