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Markov dynamics on the cone of discrete Radon measures

Dmitri Finkelshtein Orcid Logo, Yuri Kondratiev, Peter Kuchling

Methods of Functional Analysis and Topology, Volume: 27, Issue: 2, Pages: 173 - 191

Swansea University Author: Dmitri Finkelshtein Orcid Logo

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DOI (Published version): 10.31392/MFAT-npu26_2.2021.06

Abstract

We start with a brief overview of the known facts about the spaces of discrete Radon measures those may be considered as generalizations of configuration spaces. Then we study three Markov dynamics on the spaces of discrete Radon measures: analogues of the contact model, of the Bolker-Dieckmann-Law-...

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Published in: Methods of Functional Analysis and Topology
ISSN: 1029-3531 2415-7503
Published: Institute of Mathematics NAS of Ukraine 2021
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URI: https://cronfa.swan.ac.uk/Record/cronfa58285
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Abstract: We start with a brief overview of the known facts about the spaces of discrete Radon measures those may be considered as generalizations of configuration spaces. Then we study three Markov dynamics on the spaces of discrete Radon measures: analogues of the contact model, of the Bolker-Dieckmann-Law-Pacala model, and of the Glauber-type dynamics. We show how the results obtained previously for the configuration spaces can be modified for the case of the spaces of discrete Radon measures.
Item Description: http://mfat.imath.kiev.ua/article/?id=1563
Keywords: Discrete Radon measures, Markov dynamics, contact model, BDLP model, Glauber dynamics, population models
College: Faculty of Science and Engineering
Issue: 2
Start Page: 173
End Page: 191

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