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Computational ergodic theory : with 10 tables / Geon Ho Choe

By: Resource type: Ressourcentyp: BuchBookPublisher number: 11315070Language: English Series: Algorithms and computation in mathematics ; 13Publisher: Berlin ; Heidelberg [u.a.] : Springer, 2005Description: XIX, 453 S : graph. Darst ; 24 cmISBN:
  • 3540231218
Subject(s): Additional physical formats: Erscheint auch als: Computational Ergodic Theory. Online-Ausgabe. Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2005. Online-Ressource (XIX, 453 p. 250 illus, digital)MSC: MSC: *37A05 | 68W30 | 37-01RVK: RVK: SK 810LOC classification:
  • QA313
Summary: Ergodic theory is hard to study because it is based on measure theory, which is a technically difficult subject to master for ordinary students, especially for physics majors. Many of the examples are introduced from a different perspective than in other books and theoretical ideas can be gradually absorbed while doing computer experiments. Theoretically less prepared students can appreciate the deep theorems by doing various simulations. The computer experiments are simple but they have close ties with theoretical implications. Even the researchers in the field can benefit by checking their conjectures, which might have been regarded as unrealistic to be programmed easily, against numerical output using some of the ideas in the book. One last remark: The last chapter explains the relation between entropy and data compression, which belongs to information theory and not to ergodic theory. It will help students to gain an understanding of the digital technology that has shaped the modern information society. TOC:1 Prerequisites.- 2 Invariant Measures.- 3 The Birkhoff Ergodic Theorem.- 4 The Central Limit Theorem.- 5 More on Ergodicity.- 6 Homeomorphisms of the Circle.- 7 Mod 2 Uniform Distribution.- 8 Entropy.- 9 The Lyapunov Exponent: one-dimensional case.- 10 The Lyapunov Exponent: multidimensional case.- 11 Stable and unstable manifolds.- 12 Recurrence and Entropy.- 13 Recurrence and Dimension.- 14 Data Compression.- References.- IndexCall number: Grundsignatur: 2005 A 12996PPN: PPN: 393455653
Holdings
Item type Home library Collection Shelving location Call number Status Barcode
Freihandbestand Präsenznutzung Fachbibliothek Physik phys 2.1 Bibliothek / frei aufgestellt 2005 A 12996 Not for loan 47793878090
Total holds: 0
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