Computational Ergodic Theory [1 ed.] 9783540231219, 3540231218

Ergodic theory is hard to study because it is based on measure theory, which is a technically difficult subject to maste

239 61 3MB

English Pages 453 [467] Year 2005

Table of contents :
Prerequisites....Pages 1-46
Invariant Measures....Pages 47-84
The Birkhoff Ergodic Theorem....Pages 85-132
The Central Limit Theorem....Pages 133-154
More on Ergodicity....Pages 155-182
Homeomorphisms of the Circle....Pages 183-210
Mod 2 Uniform Distribution....Pages 211-236
Entropy....Pages 237-268
The Lyapunov Exponent: One-Dimensional Case....Pages 269-298
The Lyapunov Exponent: Multidimensional Case....Pages 299-332
Stable and Unstable Manifolds....Pages 333-362
Recurrence and Entropy....Pages 363-390
Recurrence and Dimension....Pages 391-416
Data Compression....Pages 417-437

Computational Ergodic Theory [1 ed.]
9783540231219, 3540231218

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Geon Ho Choe (auth.)

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