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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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2023] ©2024 |
Year of Publication: | 2023 |
Language: | English |
Series: | De Gruyter Series in Probability and Stochastics ,
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Physical Description: | 1 online resource (XII, 216 p.) |
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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 |
ids_txt_mv |
(DE-B1597)633085 |
carrierType_str_mv |
cr |
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 |
_version_ |
1789654375889633280 |
fullrecord |
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