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Mathematical Theory of Nonequilibrium Steady States :  On the Frontier of Probability and Dynamical Systems - Da-Quan Jiang

Mathematical Theory of Nonequilibrium Steady States

On the Frontier of Probability and Dynamical Systems

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Published: November 2007
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Preface.- Introduction.- Circulation Distribution, Entropy Production and Irreversibility of Denumerable Markov Chains.- Circulation Distribution, Entropy Production and Irreversibility of Finite Markov Chains with Continuous Parameter.- General Minimal Diffusion Process: its Construction, Invariant Measure, Entropy Production and Irreversibility.- Measure-theoretic Discussion on Entropy Production of Diffusion Processes and Fluctuation-dissipation Theorem.- Entropy Production, Rotation Numbers and Irreversibility of Diffusion Processes on Manifolds.- On a System of Hyperstable Frequency Locking Persistence under White Noise.- Entropy Production and Information Gain in Axiom A Systems.- Lyapunov Exponents of Hyperbolic Attractors.- Entropy Production, Information Gain and Lyapunov Exponents of Random Hyperbolic Dynamical Systems.- References.- Index.

Introductionp. 1
Circulation Distribution, Entropy Production and Irreversibility of Denumerable Markov Chainsp. 11
Circulation Distribution, Entropy Production and Irreversibility of Finite Markov Chains with Continuous Parameterp. 45
General Minimal Diffusion Process: its Construction, Invariant Measure, Entropy Production and Irreversibilityp. 67
Measure-theoretic Discussion on Entropy Production of Diffusion Processes and Fluctuation-dissipation Theoremp. 93
Entropy Production, Rotation Numbers and Irreversibility of Diffusion Processes on Manifoldsp. 121
On a System of Hyperstable Frequency Locking Persistence under White Noisep. 149
Entropy Production and Information Gain in Axiom A Systemsp. 159
Lyapunov Exponents of Hyperbolic Attractorsp. 189
Entropy Production, Information Gain and Lyapunov Exponents of Random Hyperbolic Dynamical Systemsp. 215
Referencesp. 253
Indexp. 277
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540206118
ISBN-10: 3540206116
Series: Lecture Notes
Audience: General
Format: Paperback
Language: English
Number Of Pages: 286
Published: November 2007
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 1.58
Weight (kg): 0.42