000 03437nam a22005535i 4500
001 978-3-540-85367-1
003 DE-He213
005 20181204133147.0
007 cr nn 008mamaa
008 100628s2009 gw | s |||| 0|eng d
020 _a9783540853671
_9978-3-540-85367-1
024 7 _a10.1007/978-3-540-85367-1
_2doi
040 _aISI Library, Kolkata
050 4 _aT57-57.97
072 7 _aPBW
_2bicssc
072 7 _aMAT003000
_2bisacsh
072 7 _aPBW
_2thema
082 0 4 _a519
_223
100 1 _aDing, Jiu.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aStatistical Properties of Deterministic Systems
_h[electronic resource] /
_cby Jiu Ding, Aihui Zhou.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2009.
300 _a270 p. 4 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aTsinghua University Texts,
_x1993-0305
505 0 _aFoundations of Measure Theory -- Rudiments of Ergodic Theory -- Frobenius-Perron Operators -- Invariant Measures—Existence -- Invariant Measures—Computation -- Convergence Rate Analysis -- Entropy -- Applications of Invariant Measures.
520 _aPart of Tsinghua University Texts, "Statistical Properties of Deterministic Systems" discusses the fundamental theory and computational methods of the statistical properties of deterministic discrete dynamical systems. After introducing some basic results from ergodic theory, two problems related to the dynamical system are studied: first the existence of absolute continuous invariant measures, and then their computation. They correspond to the functional analysis and numerical analysis of the Frobenius-Perron operator associated with the dynamical system. The book can be used as a text for graduate students in applied mathematics and in computational mathematics; it can also serve as a reference book for researchers in the physical sciences, life sciences, and engineering. Dr. Jiu Ding is a professor at the Department of Mathematics of the University of Southern Mississippi; Dr. Aihui Zhou is a professor at the Academy of Mathematics and Systems Science of the Chinese Academy of Sciences.
650 0 _aMathematics.
650 0 _aNumerical analysis.
650 0 _aOperator theory.
650 0 _aComputer science
_xMathematics.
650 1 4 _aApplications of Mathematics.
_0http://scigraph.springernature.com/things/product-market-codes/M13003
650 2 4 _aNumerical Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M14050
650 2 4 _aOperator Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M12139
650 2 4 _aComputational Mathematics and Numerical Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M1400X
700 1 _aZhou, Aihui.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540854111
776 0 8 _iPrinted edition:
_z9783642099052
776 0 8 _iPrinted edition:
_z9783540853664
830 0 _aTsinghua University Texts,
_x1993-0305
856 4 0 _uhttps://doi.org/10.1007/978-3-540-85367-1
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c426233
_d426233