000 03608nam a22005775i 4500
001 978-3-540-49291-7
003 DE-He213
005 20190213151352.0
007 cr nn 008mamaa
008 121227s1995 gw | s |||| 0|eng d
020 _a9783540492917
_9978-3-540-49291-7
024 7 _a10.1007/BFb0094308
_2doi
050 4 _aQA613-613.8
050 4 _aQA613.6-613.66
072 7 _aPBMS
_2bicssc
072 7 _aMAT038000
_2bisacsh
072 7 _aPBMS
_2thema
072 7 _aPBPH
_2thema
082 0 4 _a514.34
_223
100 1 _aLiu, Pei-Dong.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aSmooth Ergodic Theory of Random Dynamical Systems
_h[electronic resource] /
_cby Pei-Dong Liu, Min Qian.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1995.
300 _aXII, 228 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1606
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 _aCell aggregation
_xMathematics.
650 0 _aDistribution (Probability theory.
650 0 _aThermodynamics.
650 0 _aStatistical physics.
650 1 4 _aManifolds and Cell Complexes (incl. Diff.Topology).
_0http://scigraph.springernature.com/things/product-market-codes/M28027
650 2 4 _aProbability Theory and Stochastic Processes.
_0http://scigraph.springernature.com/things/product-market-codes/M27004
650 2 4 _aComplex Systems.
_0http://scigraph.springernature.com/things/product-market-codes/P33000
650 2 4 _aThermodynamics.
_0http://scigraph.springernature.com/things/product-market-codes/P21050
650 2 4 _aStatistical Physics and Dynamical Systems.
_0http://scigraph.springernature.com/things/product-market-codes/P19090
700 1 _aQian, Min.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662200193
776 0 8 _iPrinted edition:
_z9783540600046
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1606
856 4 0 _uhttps://doi.org/10.1007/BFb0094308
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c10438
_d10438