Table of Contents

Preface; 1. Dynamical systems, ensembles, and transfer operators; 2. Dynamical systems terminology and definitions; 3. Frobenius–Perron operator and infinitesimal generator; 4. Graph theoretic methods and Markov models of dynamical transport; 5. Graph partition methods and their relationship to transport in dynamical systems; 6. The topological dynamics perspective of symbol dynamics; 7. Transport mechanism, lobe dynamics, flux rates, and escape; 8. Finite time Lyapunov exponents; 9. Information theory in dynamical systems; Appendix A. Computation, codes, and computational complexity; Bibliography; Index.

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An accessible guide to recent developments in computational and applied aspects of measurable dynamical systems, coherent structures and transport problems.

About the Author

Erik M. Bollt is the W. Jon Harrington Professor of Mathematics at Clarkson University, Potsdam, New York. Naratip Santitissadeekorn was a postdoctoral fellow at University of New South Wales, Sydney, Australia, before taking up his current postdoctoral research position at the University of North Carolina, Chapel Hill.