Mathematical theory of nonequilibrium steady states. On the frontier of probability and dynamical systems.
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Publication:1419176
DOI10.1007/b94615zbMath1096.82002OpenAlexW2505589889MaRDI QIDQ1419176
Min Qian, Da-quan Jiang, Min-ping Qian
Publication date: 14 January 2004
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/b94615
Stationary stochastic processes (60G10) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Large deviations (60F10) Research exposition (monographs, survey articles) pertaining to statistical mechanics (82-02) Diffusion processes and stochastic analysis on manifolds (58J65) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Foundations of time-dependent statistical mechanics (82C03) Continuous-time Markov processes on discrete state spaces (60J27) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Research exposition (monographs, survey articles) pertaining to probability theory (60-02)
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