Ergodic invariant probability measures and entire functions
β Scribed by J. P. R. Christensen; P. Fischer
- Publisher
- Akadmiai Kiad
- Year
- 1996
- Tongue
- English
- Weight
- 296 KB
- Volume
- 73
- Category
- Article
- ISSN
- 1588-2632
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract Let __P__ be a Markov kernel defined on a measurable space (__X__, π). A __P__βergodic probability is an extreme point of the family of all __P__βinvariant probability measures on π. Several characterizations of __P__βergodic probabilities are given. In particular, for the special case
define and calculate the probability density in phase spsce and the information entropy of Poincare' maps describing the chaotic, stationary behaviour of deterministic dynamical systems with many degrees of freedom. By partitioning the phsse spsce into cells and computing the probability of finding