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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245 1 0 |a Measure-valued Processes and Stochastic Flows /  |c Andrey A. Dorogovtsev. 
264 1 |a Berlin ;  |a Boston :   |b De Gruyter,   |c [2023] 
264 4 |c ©2024 
300 |a 1 online resource (XII, 216 p.) 
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490 0 |a De Gruyter Series in Probability and Stochastics ,  |x 2512-9007 ;  |v 3 
505 0 0 |t Frontmatter --   |t Preface --   |t Contents --   |t 1 Examples of random measures and flows in the description of dynamical systems --   |t 2 Stochastic differential equations for the flows with interactions --   |t 3 The evolutionary measure-valued processes --   |t 4 Stochastic differential equations driven by the random measures on the space of trajectories --   |t 5 Stationary measure-valued processes --   |t 6 Evolutionary measure-valued processes on the infinitely-dimensional space --   |t 7 Stochastic calculus for flows with singular interaction --   |t 8 Historical comments --   |t 9 Appendix --   |t Bibliography --   |t Index 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a 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. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 01. Dez 2023) 
650 4 |a Stochastische Differentialgleichungen. 
650 4 |a Stochastische Strömungen. 
650 4 |a Zufällige Prozesse. 
650 7 |a MATHEMATICS / Probability & Statistics / General.  |2 bisacsh 
653 |a Measured valued processes, stochastic flows, random measures and flows, stochastic differential equations, stationary measure-valued processes and stochastic calculus. 
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