Geodesic
On a property of independent mappings
Teoriâ veroâtnostej i ee primeneniâ, Tome 49 (2004) no. 2, pp. 362-365 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We consider a sufficient condition on a given mapping on a general probability space that any random variable independent of this mapping assumes only finitely valued variables.
Keywords: independence, finitely valued variables, Ottaviani theorem, absolute continuity. 
@article{TVP_2004_49_2_a8,
     author = {A. A. Lipchyus},
     title = {On a property of independent mappings},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {362--365},
     year = {2004},
     volume = {49},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2004_49_2_a8/}
}
TY  - JOUR
AU  - A. A. Lipchyus
TI  - On a property of independent mappings
JO  - Teoriâ veroâtnostej i ee primeneniâ
PY  - 2004
SP  - 362
EP  - 365
VL  - 49
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TVP_2004_49_2_a8/
LA  - ru
ID  - TVP_2004_49_2_a8
ER  - 
%0 Journal Article
%A A. A. Lipchyus
%T On a property of independent mappings
%J Teoriâ veroâtnostej i ee primeneniâ
%D 2004
%P 362-365
%V 49
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_2004_49_2_a8/
%G ru
%F TVP_2004_49_2_a8
A. A. Lipchyus. On a property of independent mappings. Teoriâ veroâtnostej i ee primeneniâ, Tome 49 (2004) no. 2, pp. 362-365. http://geodesic.mathdoc.fr/item/TVP_2004_49_2_a8/

[1] Ottaviani G., “Sulla indipendenza delle funzioni misurabili”, Atti Accad. Naz. Lincei. Rend. Cl. Sci. Fis. Mat. Natur. (8), 2 (1947), 393–398 | MR | Zbl

[2] Bogachev V. I., Osnovy teorii mery, v. 1, 2, Regulyarnaya i khaoticheskaya dinamika, M., Izhevsk, 2003