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Nonlinear Markov processes and kinet...

Kolokol'tsov, V. N.

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Nonlinear Markov processes and kinetic equations

Record Type:	Electronic resources : Monograph/item
Title/Author:	Nonlinear Markov processes and kinetic equations/ Vassili N. Kolokoltsov.
remainder title:	Nonlinear Markov Processes & Kinetic Equations
Author:	Kolokol'tsov, V. N.
Published:	Cambridge :Cambridge University Press, : 2010.,
Description:	xvii, 375 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
[NT 15003449]:	Introduction -- Tools from Markov process theory -- Nonlinear Markov processes and semigroups -- Applications to interating particles.
Subject:	Markov processes. -
Online resource:	https://doi.org/10.1017/CBO9780511760303
ISBN:	9780511760303

Nonlinear Markov processes and kinetic equations
Kolokol'tsov, V. N.

Nonlinear Markov processes and kinetic equations[electronic resource] /Nonlinear Markov Processes & Kinetic EquationsVassili N. Kolokoltsov. - Cambridge :Cambridge University Press,2010. - xvii, 375 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;182. - Cambridge tracts in mathematics ;182..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Introduction -- Tools from Markov process theory -- Nonlinear Markov processes and semigroups -- Applications to interating particles.

A nonlinear Markov evolution is a dynamical system generated by a measure-valued ordinary differential equation with the specific feature of preserving positivity. This feature distinguishes it from general vector-valued differential equations and yields a natural link with probability, both in interpreting results and in the tools of analysis. This brilliant book, the first devoted to the area, develops this interplay between probability and analysis. After systematically presenting both analytic and probabilistic techniques, the author uses probability to obtain deeper insight into nonlinear dynamics, and analysis to tackle difficult problems in the description of random and chaotic behavior. The book addresses the most fundamental questions in the theory of nonlinear Markov processes: existence, uniqueness, constructions, approximation schemes, regularity, law of large numbers and probabilistic interpretations. Its careful exposition makes the book accessible to researchers and graduate students in stochastic and functional analysis with applications to mathematical physics and systems biology.

ISBN: 9780511760303Subjects--Topical Terms:

532104
Markov processes.

LC Class. No.: QA274.7 / .K656 2010

Dewey Class. No.: 519.233

Nonlinear Markov processes and kinetic equations
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020 $a 9780521111843 $q (hardback)
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050 4 $a QA274.7 $b .K656 2010
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100 1 $a Kolokol'tsov, V. N. $q (Vasilii Nikitich) $3 3470631
245 1 0 $a Nonlinear Markov processes and kinetic equations $h [electronic resource] / $c Vassili N. Kolokoltsov.
246 3 $a Nonlinear Markov Processes & Kinetic Equations
260 $a Cambridge : $b Cambridge University Press, $c 2010.
300 $a xvii, 375 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge tracts in mathematics ; $v 182
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a Introduction -- Tools from Markov process theory -- Nonlinear Markov processes and semigroups -- Applications to interating particles.
520 $a A nonlinear Markov evolution is a dynamical system generated by a measure-valued ordinary differential equation with the specific feature of preserving positivity. This feature distinguishes it from general vector-valued differential equations and yields a natural link with probability, both in interpreting results and in the tools of analysis. This brilliant book, the first devoted to the area, develops this interplay between probability and analysis. After systematically presenting both analytic and probabilistic techniques, the author uses probability to obtain deeper insight into nonlinear dynamics, and analysis to tackle difficult problems in the description of random and chaotic behavior. The book addresses the most fundamental questions in the theory of nonlinear Markov processes: existence, uniqueness, constructions, approximation schemes, regularity, law of large numbers and probabilistic interpretations. Its careful exposition makes the book accessible to researchers and graduate students in stochastic and functional analysis with applications to mathematical physics and systems biology.
650 0 $a Markov processes. $3 532104
650 0 $a Nonlinear theories. $3 524352
650 0 $a Kinetic theory of matter. $3 524498
830 0 $a Cambridge tracts in mathematics ; $v 182. $3 3470632
856 4 0 $u https://doi.org/10.1017/CBO9780511760303