Book Details

Computational Ergodic Theory

Publication year: 2005

: 978-3-540-27305-9

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Ergodic theory is hard to study because it is based on measure theory, which is a technically difficult subject to master for ordinary students, especially for physics majors. Many of the examples are introduced from a different perspective than in other books and theoretical ideas can be gradually absorbed while doing computer experiments. Theoretically less prepared students can appreciate the deep theorems by doing various simulations. The computer experiments are simple but they have close ties with theoretical implications. The last chapter explains the relation between entropy and data compression, which belongs to information theory and not to ergodic theory.


: Mathematics and Statistics, Lyapunov exponent, Maple simulations, dynamical systems, entropy, ergodic theory, linear optimization, simulation