000 | 03116nam a22005655i 4500 | ||
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001 | 978-3-540-49291-7 | ||
003 | DE-He213 | ||
005 | 20160624101831.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1995 gw | s |||| 0|eng d | ||
020 |
_a9783540492917 _9978-3-540-49291-7 |
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024 | 7 |
_a10.1007/BFb0094308 _2doi |
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050 | 4 | _aQA613-613.8 | |
050 | 4 | _aQA613.6-613.66 | |
072 | 7 |
_aPBMS _2bicssc |
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072 | 7 |
_aPBPH _2bicssc |
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072 | 7 |
_aMAT038000 _2bisacsh |
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082 | 0 | 4 |
_a514.34 _223 |
100 | 1 |
_aLiu, Pei-Dong. _eauthor. |
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245 | 1 | 0 |
_aSmooth Ergodic Theory of Random Dynamical Systems _h[electronic resource] / _cby Pei-Dong Liu, Min Qian. |
260 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1995. |
|
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1995. |
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300 |
_aXII, 228 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1606 |
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505 | 0 | _aPreliminaries -- Entropy and Lyapunov exponents of random diffeomorphisms -- Estimation of entropy from above through Lyapunov exponents -- Stable invariant manifolds of random diffeomorphisms -- Estimation of entropy from below through Lyapunov exponents -- Stochastic flows of diffeomorphisms -- Characterization of measures satisfying entropy formula -- Random perturbations of hyperbolic attractors. | |
520 | _aThis book studies ergodic-theoretic aspects of random dynam- ical systems, i.e. of deterministic systems with noise. It aims to present a systematic treatment of a series of recent results concerning invariant measures, entropy and Lyapunov exponents of such systems, and can be viewed as an update of Kifer's book. An entropy formula of Pesin's type occupies the central part. The introduction of relation numbers (ch.2) is original and most methods involved in the book are canonical in dynamical systems or measure theory. The book is intended for people interested in noise-perturbed dynam- ical systems, and can pave the way to further study of the subject. Reasonable knowledge of differential geometry, measure theory, ergodic theory, dynamical systems and preferably random processes is assumed. | ||
650 | 0 | _aMathematics. | |
650 | 0 | _aDistribution (Probability theory). | |
650 | 0 |
_aCell aggregation _xMathematics. |
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650 | 0 | _aStatistical physics. | |
650 | 0 | _aThermodynamics. | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aManifolds and Cell Complexes (incl. Diff.Topology). |
650 | 2 | 4 | _aProbability Theory and Stochastic Processes. |
650 | 2 | 4 | _aStatistical Physics. |
650 | 2 | 4 | _aThermodynamics. |
700 | 1 |
_aQian, Min. _eauthor. |
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710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540600046 |
786 | _dSpringer | ||
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1606 |
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856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/BFb0094308 |
942 |
_2EBK1743 _cEBK |
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999 |
_c31037 _d31037 |