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Non-autonomous interacting particle systems in continuum

Martin Friesen
arXiv:1603.07167      Article (.pdf)

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.

Key words: Interacting particle systems, Feller evolution, pure jump process, configuration space, Foster-Lyapunov criterion, Kolmogorov equation.


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Article Information

TitleNon-autonomous interacting particle systems in continuum
SourceMethods Funct. Anal. Topology, Vol. 22 (2016), no. 3, 220-244
MathSciNet   MR3554650
zbMATH 06742108
Milestones  Received 24/03/2016; Revised 15/06/2016
CopyrightThe Author(s) 2016 (CC BY-SA)

Authors Information

Martin Friesen
Department of Mathematics, University of Bielefeld, Bielefeld, Germany


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Martin Friesen, Non-autonomous interacting particle systems in continuum, Methods Funct. Anal. Topology 22 (2016), no. 3, 220-244.


BibTex

@article {MFAT891,
    AUTHOR = {Friesen, Martin},
     TITLE = {Non-autonomous interacting particle systems in continuum},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {22},
      YEAR = {2016},
    NUMBER = {3},
     PAGES = {220-244},
      ISSN = {1029-3531},
  MRNUMBER = {MR3554650},
 ZBLNUMBER = {06742108},
       URL = {http://mfat.imath.kiev.ua/article/?id=891},
}


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