A note on the entropy of a doubly stochastic operator

• Autorzy: Brunon Kamiński , José de Sam Lazaro
• Języki publikacji: EN

Abstrakty

EN

We investigate the properties of the entropy and conditional entropy of measurable partitions of unity in the space of essentially bounded functions defined on a Lebesgue probability space.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2000
• Tom: 84/85
• Numer: 1
• Strony: 245-254

Daty

wydano

2000

otrzymano

1999-07-16

poprawiono

1999-11-04

Twórcy

autor

Brunon Kamiński

• Faculty of Mathematics and Informatics, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

autor

José de Sam Lazaro

• Département de Mathématiques, Université de Rouen, Site Colbert, 76130 Mont-Saint-Aignan, France

Bibliografia

• [1] E. Ghys, R. Langevin et P. Walczak, Entropie mesurée et partitions de l'unité, C. R. Acad. Sci. Paris Sér. I 303 (1986), 251-254.
• [2] A. Iwanik, Pointwise induced semigroups of σ-endomorphisms, Colloq. Math. 38 (1977), 27-35.
• [3] P. A. Meyer, Probabilités et Potentiel, Hermann, Paris, 1966.
• [4] V. A. Rokhlin, Lectures on the entropy theory of transformations with invariant measure, Uspekhi Mat. Nauk 22 (1967), no. 3, 3-56 (in Russian).