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arXiv · 1603.07167

Non-autonomous interacting particle systems in continuum

Martin Friesen
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Abstract

A conservative Feller evolution on continuous bounded functions is constructed from a weakly continuous, time-inhomogeneous transition function describing a pure jump process on a locally compact Polish space. The transition function is assumed to satisfy a Foster-Lyapunov type condition. The results are applied to interacting particle systems in continuum, in particular to general birth-and-death processes (including jumps). Particular examples such as the BDLP and Dieckmann-Law model are considered in the end.

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Martin Friesen. 2016-03-23. Non-autonomous interacting particle systems in continuum. https://arxiv.org/abs/1603.07167

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