A note on the entropy of a doubly stochastic operator
Brunon Kamiński; José de Sam Lazaro
Colloquium Mathematicae (2000)
- Volume: 84/85, Issue: 1, page 245-254
- ISSN: 0010-1354
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Abstract
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topKamiński, Brunon, and de Sam Lazaro, José. "A note on the entropy of a doubly stochastic operator." Colloquium Mathematicae 84/85.1 (2000): 245-254. <http://eudml.org/doc/210803>.
@article{Kamiński2000,
abstract = {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.},
author = {Kamiński, Brunon, de Sam Lazaro, José},
journal = {Colloquium Mathematicae},
keywords = {measurable partitions; doubly stochastic operator; Koopman operator; entropy; conditional entropy},
language = {eng},
number = {1},
pages = {245-254},
title = {A note on the entropy of a doubly stochastic operator},
url = {http://eudml.org/doc/210803},
volume = {84/85},
year = {2000},
}
TY - JOUR
AU - Kamiński, Brunon
AU - de Sam Lazaro, José
TI - A note on the entropy of a doubly stochastic operator
JO - Colloquium Mathematicae
PY - 2000
VL - 84/85
IS - 1
SP - 245
EP - 254
AB - 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.
LA - eng
KW - measurable partitions; doubly stochastic operator; Koopman operator; entropy; conditional entropy
UR - http://eudml.org/doc/210803
ER -
References
top- [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. Zbl0595.60004
- [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. Zbl0138.10402
- [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).
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