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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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first_indexed 2021-10-11T06:19:09Z
last_indexed 2021-11-11T04:25:39Z
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spelling 2021-11-10T14:44:24.1272273 v2 58285 2021-10-11 Markov dynamics on the cone of discrete Radon measures 4dc251ebcd7a89a15b71c846cd0ddaaf 0000-0001-7136-9399 Dmitri Finkelshtein Dmitri Finkelshtein true false 2021-10-11 SMA 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. Journal Article Methods of Functional Analysis and Topology 27 2 173 191 Institute of Mathematics NAS of Ukraine 1029-3531 2415-7503 Discrete Radon measures, Markov dynamics, contact model, BDLP model, Glauber dynamics, population models 2 7 2021 2021-07-02 10.31392/MFAT-npu26_2.2021.06 http://mfat.imath.kiev.ua/article/?id=1563 http://mfat.imath.kiev.ua/article/?id=1563 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University Not Required 2021-11-10T14:44:24.1272273 2021-10-11T07:08:17.4315626 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Dmitri Finkelshtein 0000-0001-7136-9399 1 Yuri Kondratiev 2 Peter Kuchling 3 58285__21478__445a998825594bc6a76176d0af6b43a2.pdf 58285.pdf 2021-11-10T13:46:06.5148951 Output 548907 application/pdf Version of Record true The Author(s) 2021 (CC BY-SA) true eng https://creativecommons.org/licenses/by-sa/4.0/
title Markov dynamics on the cone of discrete Radon measures
spellingShingle Markov dynamics on the cone of discrete Radon measures
Dmitri Finkelshtein
title_short Markov dynamics on the cone of discrete Radon measures
title_full Markov dynamics on the cone of discrete Radon measures
title_fullStr Markov dynamics on the cone of discrete Radon measures
title_full_unstemmed Markov dynamics on the cone of discrete Radon measures
title_sort Markov dynamics on the cone of discrete Radon measures
author_id_str_mv 4dc251ebcd7a89a15b71c846cd0ddaaf
author_id_fullname_str_mv 4dc251ebcd7a89a15b71c846cd0ddaaf_***_Dmitri Finkelshtein
author Dmitri Finkelshtein
author2 Dmitri Finkelshtein
Yuri Kondratiev
Peter Kuchling
format Journal article
container_title Methods of Functional Analysis and Topology
container_volume 27
container_issue 2
container_start_page 173
publishDate 2021
institution Swansea University
issn 1029-3531
2415-7503
doi_str_mv 10.31392/MFAT-npu26_2.2021.06
publisher Institute of Mathematics NAS of Ukraine
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
url http://mfat.imath.kiev.ua/article/?id=1563
document_store_str 1
active_str 0
description 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.
published_date 2021-07-02T04:14:42Z
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score 11.013619

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