TY - BOOK AU - Bollt,Erik M. AU - Santitissadeekorn,Naratip TI - Applied and computational measurable dynamics T2 - Mathematical modeling and computation SN - 9781611972634 U1 - 515.39 23 PY - 2013/// CY - Philadelphia : PB - SIAM KW - Dynamics KW - Graph theory KW - Ergodic theory KW - Data processing N1 - Includes bibliographical references (pages 333-354) and index; 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; A. Computation, codes, and computational complexity; Bibliography; Index N2 - An accessible guide to recent developments in computational and applied aspects of measurable dynamical systems, coherent structures and transport problems ER -