Dans cette note, nous annonçons la solution positive de la « conjecture de Bernoulli » concernant la caractérisation des processus de Bernoulli bornés. Nous en présentons des applications et discutons de questions ouvertes qui lui sont liées.
In this note we announce the affirmative solution of the so-called Bernoulli Conjecture concerning the characterization of the sample boundedness of Bernoulli processes. We also present some applications and discuss related open problems.
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@article{CRMATH_2013__351_3-4_131_0,
author = {Bednorz, Witold and Lata{\l}a, Rafa{\l}},
title = {On the suprema of {Bernoulli} processes},
journal = {Comptes Rendus. Math\'ematique},
pages = {131--134},
publisher = {Elsevier},
volume = {351},
number = {3-4},
year = {2013},
doi = {10.1016/j.crma.2013.02.013},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2013.02.013/}
}
TY - JOUR AU - Bednorz, Witold AU - Latała, Rafał TI - On the suprema of Bernoulli processes JO - Comptes Rendus. Mathématique PY - 2013 SP - 131 EP - 134 VL - 351 IS - 3-4 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2013.02.013/ DO - 10.1016/j.crma.2013.02.013 LA - en ID - CRMATH_2013__351_3-4_131_0 ER -
%0 Journal Article %A Bednorz, Witold %A Latała, Rafał %T On the suprema of Bernoulli processes %J Comptes Rendus. Mathématique %D 2013 %P 131-134 %V 351 %N 3-4 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2013.02.013/ %R 10.1016/j.crma.2013.02.013 %G en %F CRMATH_2013__351_3-4_131_0
Bednorz, Witold; Latała, Rafał. On the suprema of Bernoulli processes. Comptes Rendus. Mathématique, Tome 351 (2013) no. 3-4, pp. 131-134. doi : 10.1016/j.crma.2013.02.013. http://www.numdam.org/articles/10.1016/j.crma.2013.02.013/
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☆ Research supported by the NCN grant DEC-2012/05/B/ST1/00412.
