| 000 | 02616nam a22003858i 4500 | ||
|---|---|---|---|
| 001 | CR9780511760303 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160237.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 100506s2010||||enk o ||1 0|eng|d | ||
| 020 | _a9780511760303 (ebook) | ||
| 020 | _z9780521111843 (hardback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
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| 050 | 4 |
_aQA274.7 _b.K656 2010 |
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| 082 | 0 | 4 |
_a519.233 _222 |
| 100 | 1 |
_aKolokolʹt︠s︡ov, V. N. _q(Vasiliĭ Nikitich), _eauthor. |
|
| 245 | 1 | 0 |
_aNonlinear Markov processes and kinetic equations / _cVassili N. Kolokoltsov. |
| 246 | 3 | _aNonlinear Markov Processes & Kinetic Equations | |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2010. |
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| 300 |
_a1 online resource (xvii, 375 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 490 | 1 |
_aCambridge tracts in mathematics ; _v182 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 505 | 0 | _aIntroduction -- Tools from Markov process theory -- Nonlinear Markov processes and semigroups -- Applications to interating particles. | |
| 520 | _aA 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 | _aMarkov processes. | |
| 650 | 0 | _aNonlinear theories. | |
| 650 | 0 | _aKinetic theory of matter. | |
| 776 | 0 | 8 |
_iPrint version: _z9780521111843 |
| 830 | 0 |
_aCambridge tracts in mathematics ; _v182. |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9780511760303 |
| 999 |
_c518191 _d518189 |
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