## Abstract Let__p__ > __q__ > 1 be two coprime integers. In this paper, we prove several results about subsets of the interval [0, 1) which does or does not contain all the fractional parts {__ΞΎ__ (__p__ /__q__)^__n__^ }, __n__ = 0, 1, 2, β¦, for certain nonβzero real number __ΞΎ__. We show, for ins
β¦ LIBER β¦
Poisson structures on the plane and other powers of volume forms
β Scribed by V. I. Arnol'd
- Publisher
- Springer US
- Year
- 1989
- Tongue
- English
- Weight
- 801 KB
- Volume
- 47
- Category
- Article
- ISSN
- 1573-8795
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## Abstract The space of probability measures on a Riemannian manifold is endowed with the Fisher information metric. In [4] T. Friedrich showed that this space admits also Poisson structures {, }. In this note, we give directly another proof for the structure {, } being Poisson. (Β© 2007 WILEYβVCH