Ergodic Theory, Open Dynamics, and Coherent Structures

1. Front Matter

   Pages i-xvi

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2. Nonautonomous Flows as Open Dynamical Systems: Characterising Escape Rates and Time-Varying Boundaries

   • Sanjeeva Balasuriya

   Pages 1-30

3. Eigenvalues of Transfer Operators for Dynamical Systems with Holes

   • Oscar F. Bandtlow, Oliver Jenkinson

   Pages 31-39

4. Periodic Points, Escape Rates and Escape Measures

   • Oscar F. Bandtlow, Oliver Jenkinson, Mark Pollicott

   Pages 41-58

5. A Multi-time Step Method to Compute Optical Flow with Scientific Priors for Observations of a Fluidic System

   • Ranil Basnayake, Erik M. Bollt

   Pages 59-79

6. Numerical Approximation of Conditionally Invariant Measures via Maximum Entropy

   • Christopher Bose, Rua Murray

   Pages 81-104

7. Lebesgue Ergodicity of a Dissipative Subtractive Algorithm

   • Henk Bruin

   Pages 105-117

8. Improved Estimates of Survival Probabilities via Isospectral Transformations

   • L. A. Bunimovich, B. Z. Webb

   Pages 119-135

9. Dispersing Billiards with Small Holes

   • Mark F. Demers

   Pages 137-170

10. Almost-Invariant and Finite-Time Coherent Sets: Directionality, Duration, and Diffusion

    • Gary Froyland, Kathrin Padberg-Gehle

    Pages 171-216

11. Return-Time Statistics, Hitting-Time Statistics and Inducing

    • Nicolai T. A. Haydn, Nicole Winterberg, Roland Zweimüller

    Pages 217-227

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, numerical dynamical systems, molecular dynamics and ocean/atmosphere dynamics, nonequilibrium statistical mechanics. The volume will serve as a valuable reference for mathematicians, physicists, engineers, biologists and climate scientists, who currently use, or wish to learn how to use, probabilistic techniques to cope with dynamical models that display open or non-equilibrium behavior.

• coherent structures
• ergodic theory
• invariant manifolds
• open dynamical systems
• transfer operator

• Department of Mathematical Sciences, Loughborough University, Leicestershire, United Kingdom

  Wael Bahsoun

• Department of Mathematics and Statistics, University of Victoria, Victoria, Canada

  Christopher Bose

• School of Mathematics and Statistics, University of New South Wales, Sydney, Australia

  Gary Froyland

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