Lecture Notes in Mathematics - Mathematical Theory of Nonequilibrium Steady States
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Published By Springer Berlin Heidelberg

9783540206118, 9783540409571

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9 Entropy Production, Information Gain and Lyapunov Exponents of Random Hyperbolic Dynamical Systems

Lecture Notes in Mathematics - Mathematical Theory of Nonequilibrium Steady States ◽

10.1007/978-3-540-40957-1_10 ◽

2003 ◽

pp. 215-252

Author(s):

Da-Quan Jiang ◽

Min Qian ◽

Min-Ping Qian

Keyword(s):

Dynamical Systems ◽

Entropy Production ◽

Lyapunov Exponents ◽

Information Gain ◽

Hyperbolic Dynamical Systems

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4 Measure-theoretic Discussion on Entropy Production of Diffusion Processes and Fluctuation-dissipation Theorem

Lecture Notes in Mathematics - Mathematical Theory of Nonequilibrium Steady States ◽

10.1007/978-3-540-40957-1_5 ◽

2003 ◽

pp. 93-120

Author(s):

Da-Quan Jiang ◽

Min Qian ◽

Min-Ping Qian

Keyword(s):

Entropy Production ◽

Diffusion Processes ◽

Fluctuation Dissipation ◽

Fluctuation Dissipation Theorem

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5 Entropy Production, Rotation Numbers and Irreversibility of Diffusion Processes on Manifolds

Lecture Notes in Mathematics - Mathematical Theory of Nonequilibrium Steady States ◽

10.1007/978-3-540-40957-1_6 ◽

2003 ◽

pp. 121-148

Author(s):

Da-Quan Jiang ◽

Min Qian ◽

Min-Ping Qian

Keyword(s):

Entropy Production ◽

Diffusion Processes ◽

Rotation Numbers

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8 Lyapunov Exponents of Hyperbolic Attractors

Lecture Notes in Mathematics - Mathematical Theory of Nonequilibrium Steady States ◽

10.1007/978-3-540-40957-1_9 ◽

2003 ◽

pp. 189-214

Author(s):

Da-Quan Jiang ◽

Min Qian ◽

Min-Ping Qian

Keyword(s):

Lyapunov Exponents ◽

Hyperbolic Attractors

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7 Entropy Production and Information Gain in Axiom A Systems

Lecture Notes in Mathematics - Mathematical Theory of Nonequilibrium Steady States ◽

10.1007/978-3-540-40957-1_8 ◽

2003 ◽

pp. 159-188

Author(s):

Da-Quan Jiang ◽

Min Qian ◽

Min-Ping Qian

Keyword(s):

Entropy Production ◽

Information Gain ◽

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6 On a System of Hyperstable Frequency Locking Persistence under White Noise

Lecture Notes in Mathematics - Mathematical Theory of Nonequilibrium Steady States ◽

10.1007/978-3-540-40957-1_7 ◽

2003 ◽

pp. 149-158

Author(s):

Da-Quan Jiang ◽

Min Qian ◽

Min-Ping Qian

Keyword(s):

White Noise ◽

Frequency Locking

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1 Circulation Distribution, Entropy Production and Irreversibility of Denumerable Markov Chains

Lecture Notes in Mathematics - Mathematical Theory of Nonequilibrium Steady States ◽

10.1007/978-3-540-40957-1_2 ◽

2003 ◽

pp. 11-44

Author(s):

Da-Quan Jiang ◽

Min Qian ◽

Min-Ping Qian

Keyword(s):

Markov Chains ◽

Entropy Production ◽

Circulation Distribution

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Introduction

Lecture Notes in Mathematics - Mathematical Theory of Nonequilibrium Steady States ◽

10.1007/978-3-540-40957-1_1 ◽

2003 ◽

pp. 1-10 ◽

Author(s):

Da-Quan Jiang ◽

Min Qian ◽

Min-Ping Qian

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2 Circulation Distribution, Entropy Production and Irreversibility of Finite Markov Chains with Continuous Parameter

Lecture Notes in Mathematics - Mathematical Theory of Nonequilibrium Steady States ◽

10.1007/978-3-540-40957-1_3 ◽

2003 ◽

pp. 45-66

Author(s):

Da-Quan Jiang ◽

Min Qian ◽

Min-Ping Qian

Keyword(s):

Markov Chains ◽

Entropy Production ◽

Continuous Parameter ◽

Circulation Distribution ◽

Finite Markov Chains

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References

Lecture Notes in Mathematics - Mathematical Theory of Nonequilibrium Steady States ◽

10.1007/978-3-540-40957-1_11 ◽

2003 ◽

pp. 253-276

Author(s):

Da-Quan Jiang ◽

Min Qian ◽

Min-Ping Qian

Download Full-text