Non-autonomous interacting particle systems in continuum
Dynamical Systems
2016-10-11 v3 Functional Analysis
Probability
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.
Cite
@article{arxiv.1603.07167,
title = {Non-autonomous interacting particle systems in continuum},
author = {Martin Friesen},
journal= {arXiv preprint arXiv:1603.07167},
year = {2016}
}
Comments
Published in Methods of Functional Analysis and Topology (MFAT), available at http://mfat.imath.kiev.ua/article/?id=891