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Ergodic Theory, Open Dynamics, and Coherent Structures electronic resource edited by Wael Bahsoun, Christopher Bose, Gary Froyland.

Contributor(s): Bahsoun, Wael [editor.] | Bose, Christopher [editor.] | Froyland, Gary [editor.] | SpringerLink (Online service)Material type: TextTextSeries: Springer Proceedings in Mathematics & StatisticsPublication details: New York, NY : Springer New York : Imprint: Springer, 2014Description: XVI, 227 p. 39 illus., 36 illus. in color. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9781493904198Subject(s): mathematics | Differentiable dynamical systems | Mathematical optimization | Distribution (Probability theory) | Mathematics | Dynamical Systems and Ergodic Theory | Probability Theory and Stochastic Processes | Calculus of Variations and Optimal Control; Optimization | optimizationDDC classification: 515.39 | 515.48 LOC classification: QA313Online resources: Click here to access online
Contents:
1. Nonautonomous flows as open dynamical systems: characterising escape rates and time-varying boundaries -- 2. Eigenvalues of transfer operators for dynamical systems with holes -- 3. Periodic points, escape rates and escape measures -- 4. A multi-time step method to compute optical flow with scientific priors for observations of a fluidic system -- 5. Numerical approximation of conditionally invariant measures via maximum entropy -- 6. Lebesgue ergodicity of a dissipative subtractive algorithm -- 7. Improved estimates of survival probabilities via isospectral transformations -- 8. Dispersing billiards with small holes -- 9. Almost-invariant and finite-time coherent sets: directionality, duration, and diffusion -- Return-time statistics, hitting-time statistics, and inducing.
In: Springer eBooksSummary: This book is comprised of selected research articles developed from a workshop on Ergodic Theory, Probabilistic Methods and Applications, held in April 2012 at the Banff International Research Station. It contains contributions from world leading experts in ergodic theory, dynamical systems, numerical analysis, fluid dynamics, and networks. The volume will serve as a valuable reference for mathematicians, physicists, engineers, physical oceanographers, atmospheric scientists, biologists, and climate scientists, who currently use, or wish to learn how to use, probabilistic techniques to cope with dynamical models that display open, coherent, or non-equilibrium behavior.
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1. Nonautonomous flows as open dynamical systems: characterising escape rates and time-varying boundaries -- 2. Eigenvalues of transfer operators for dynamical systems with holes -- 3. Periodic points, escape rates and escape measures -- 4. A multi-time step method to compute optical flow with scientific priors for observations of a fluidic system -- 5. Numerical approximation of conditionally invariant measures via maximum entropy -- 6. Lebesgue ergodicity of a dissipative subtractive algorithm -- 7. Improved estimates of survival probabilities via isospectral transformations -- 8. Dispersing billiards with small holes -- 9. Almost-invariant and finite-time coherent sets: directionality, duration, and diffusion -- Return-time statistics, hitting-time statistics, and inducing.

This book is comprised of selected research articles developed from a workshop on Ergodic Theory, Probabilistic Methods and Applications, held in April 2012 at the Banff International Research Station. It contains contributions from world leading experts in ergodic theory, dynamical systems, numerical analysis, fluid dynamics, and networks. The volume will serve as a valuable reference for mathematicians, physicists, engineers, physical oceanographers, atmospheric scientists, biologists, and climate scientists, who currently use, or wish to learn how to use, probabilistic techniques to cope with dynamical models that display open, coherent, or non-equilibrium behavior.

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