Ergodic Theory, Open Dynamics, and Coherent Structures

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Wael Bahsoun, Christopher Bose, Gary Froyland
Springer Science & Business, May 2, 2014 - Mathematics - 227 pages
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.
 

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Contents

Characterising Escape Rates and TimeVarying Boundaries
1
2 Eigenvalues of Transfer Operators for Dynamical Systems with Holes
31
3 Periodic Points Escape Rates and Escape Measures
41
4 A Multitime Step Method to Compute Optical Flowwith Scientific Priors for Observations of a Fluidic System
59
5 Numerical Approximation of Conditionally Invariant Measures via Maximum Entropy
80
6 Lebesgue Ergodicity of a Dissipative Subtractive Algorithm
105
7 Improved Estimates of Survival Probabilities via Isospectral Transformations
119
8 Dispersing Billiards with Small Holes
136
Directionality Duration and Diffusion
171
10 ReturnTime Statistics HittingTime Statistics and Inducing
217
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