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Ergodic Theory, Open Dynamics, and Coherent Structures

  • Conference proceedings
  • © 2014

Overview

Editors:
  1. Wael Bahsoun

    1. Department of Mathematical Sciences, Loughborough University, Leicestershire, United Kingdom

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  2. Christopher Bose

    1. Department of Mathematics and Statistics, University of Victoria, Victoria, Canada

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    You can also search for this editor in PubMed   Google Scholar

  3. Gary Froyland

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

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  • Presents cutting edge mathematical research on ergodic theory, open dynamical systems, and coherent structures
  • Brings together theoretical aspects, computational approaches and real-world applications
  • Contributions from leading researchers in the field
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 70)

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Table of contents (10 papers)

  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
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Keywords

About this book

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.

Editors and Affiliations

  • 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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