Measure-valued Processes and Stochastic Flows / / Andrey A. Dorogovtsev.

This book discusses the systems of interacting particles evolving in the random media. The focus is on the study of both the finite subsystems motion and the flow, describing motion of all particles in the space. The integral characteristics of the system and mass distribution are also covered and r...

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Superior document:Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2023 English
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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2023]
©2024
Year of Publication:2023
Language:English
Series:De Gruyter Series in Probability and Stochastics , 3
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Physical Description:1 online resource (XII, 216 p.)
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ctrlnum (DE-B1597)633085
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spelling Dorogovtsev, Andrey A., author. aut http://id.loc.gov/vocabulary/relators/aut
Measure-valued Processes and Stochastic Flows / Andrey A. Dorogovtsev.
Berlin ; Boston : De Gruyter, [2023]
©2024
1 online resource (XII, 216 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
De Gruyter Series in Probability and Stochastics , 2512-9007 ; 3
Frontmatter -- Preface -- Contents -- 1 Examples of random measures and flows in the description of dynamical systems -- 2 Stochastic differential equations for the flows with interactions -- 3 The evolutionary measure-valued processes -- 4 Stochastic differential equations driven by the random measures on the space of trajectories -- 5 Stationary measure-valued processes -- 6 Evolutionary measure-valued processes on the infinitely-dimensional space -- 7 Stochastic calculus for flows with singular interaction -- 8 Historical comments -- 9 Appendix -- Bibliography -- Index
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
This book discusses the systems of interacting particles evolving in the random media. The focus is on the study of both the finite subsystems motion and the flow, describing motion of all particles in the space. The integral characteristics of the system and mass distribution are also covered and results are illustrated with examples from turbulence theory, synchronization and DNA evolution.
Issued also in print.
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 01. Dez 2023)
Stochastische Differentialgleichungen.
Stochastische Strömungen.
Zufällige Prozesse.
MATHEMATICS / Probability & Statistics / General. bisacsh
Measured valued processes, stochastic flows, random measures and flows, stochastic differential equations, stationary measure-valued processes and stochastic calculus.
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2023 English 9783111319292
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2023 9783111318912 ZDB-23-DGG
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2023 English 9783111319209
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2023 9783111318608 ZDB-23-DMA
EPUB 9783110986556
print 9783110997583
https://doi.org/10.1515/9783110986518
https://www.degruyter.com/isbn/9783110986518
Cover https://www.degruyter.com/document/cover/isbn/9783110986518/original
language English
format eBook
author Dorogovtsev, Andrey A.,
Dorogovtsev, Andrey A.,
spellingShingle Dorogovtsev, Andrey A.,
Dorogovtsev, Andrey A.,
Measure-valued Processes and Stochastic Flows /
De Gruyter Series in Probability and Stochastics ,
Frontmatter --
Preface --
Contents --
1 Examples of random measures and flows in the description of dynamical systems --
2 Stochastic differential equations for the flows with interactions --
3 The evolutionary measure-valued processes --
4 Stochastic differential equations driven by the random measures on the space of trajectories --
5 Stationary measure-valued processes --
6 Evolutionary measure-valued processes on the infinitely-dimensional space --
7 Stochastic calculus for flows with singular interaction --
8 Historical comments --
9 Appendix --
Bibliography --
Index
author_facet Dorogovtsev, Andrey A.,
Dorogovtsev, Andrey A.,
author_variant a a d aa aad
a a d aa aad
author_role VerfasserIn
VerfasserIn
author_sort Dorogovtsev, Andrey A.,
title Measure-valued Processes and Stochastic Flows /
title_full Measure-valued Processes and Stochastic Flows / Andrey A. Dorogovtsev.
title_fullStr Measure-valued Processes and Stochastic Flows / Andrey A. Dorogovtsev.
title_full_unstemmed Measure-valued Processes and Stochastic Flows / Andrey A. Dorogovtsev.
title_auth Measure-valued Processes and Stochastic Flows /
title_alt Frontmatter --
Preface --
Contents --
1 Examples of random measures and flows in the description of dynamical systems --
2 Stochastic differential equations for the flows with interactions --
3 The evolutionary measure-valued processes --
4 Stochastic differential equations driven by the random measures on the space of trajectories --
5 Stationary measure-valued processes --
6 Evolutionary measure-valued processes on the infinitely-dimensional space --
7 Stochastic calculus for flows with singular interaction --
8 Historical comments --
9 Appendix --
Bibliography --
Index
title_new Measure-valued Processes and Stochastic Flows /
title_sort measure-valued processes and stochastic flows /
series De Gruyter Series in Probability and Stochastics ,
series2 De Gruyter Series in Probability and Stochastics ,
publisher De Gruyter,
publishDate 2023
physical 1 online resource (XII, 216 p.)
Issued also in print.
contents Frontmatter --
Preface --
Contents --
1 Examples of random measures and flows in the description of dynamical systems --
2 Stochastic differential equations for the flows with interactions --
3 The evolutionary measure-valued processes --
4 Stochastic differential equations driven by the random measures on the space of trajectories --
5 Stationary measure-valued processes --
6 Evolutionary measure-valued processes on the infinitely-dimensional space --
7 Stochastic calculus for flows with singular interaction --
8 Historical comments --
9 Appendix --
Bibliography --
Index
isbn 9783110986518
9783111319292
9783111318912
9783111319209
9783111318608
9783110986556
9783110997583
issn 2512-9007 ;
url https://doi.org/10.1515/9783110986518
https://www.degruyter.com/isbn/9783110986518
https://www.degruyter.com/document/cover/isbn/9783110986518/original
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 519 - Probabilities & applied mathematics
dewey-full 519.22
dewey-sort 3519.22
dewey-raw 519.22
dewey-search 519.22
doi_str_mv 10.1515/9783110986518
work_keys_str_mv AT dorogovtsevandreya measurevaluedprocessesandstochasticflows
status_str n
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hierarchy_parent_title Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2023 English
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2023
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2023 English
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2023
is_hierarchy_title Measure-valued Processes and Stochastic Flows /
container_title Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2023 English
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