Computational Ergodic Theory
Computational Ergodic Theory 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…
Specifikacia Computational Ergodic Theory
Computational Ergodic Theory
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. Theoretically less prepared students can appreciate the deep theorems by doing various simulations. 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.
Even the researchers in the field can benefit by checking their conjectures, which might have been regarded as unrealistic to be programmed easily, against numerical output using some of the ideas in the book. The computer experiments are simple but they have close ties with theoretical implications. One last remark: The last chapter explains the relation between entropy and data compression, which belongs to information theory and not to ergodic