Proceedings of the American Mathematical Society

Author(s): Omer Friedland
Journal: Proc. Amer. Math. Soc. 136 (2008), 3639-3645.
MSC (2000): Primary 52A20; Secondary 60D05
Posted: May 19, 2008
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Abstract: We prove a Kahane-Khinchin type result with a few random vectors, which are distributed independently with respect to an arbitrary log-concave probability measure on $\mathbb{R}^n$ . This is an application of a small ball estimate and Chernoff's method, that has been recently used in the context of Asymptotic Geometric Analysis.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 52A20, 60D05

Omer Friedland
Affiliation: School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Tel Aviv 69978, Israel
Email: omerfrie@post.tau.ac.il

DOI: 10.1090/S0002-9939-08-09369-6
PII: S 0002-9939(08)09369-6
Keywords: Kahane-Khinchin inequality, log-concave measure, small ball probability, Chernoff bound
Received by editor(s): April 30, 2007,
Received by editor(s) in revised form: September 10, 2007
Posted: May 19, 2008
Communicated by: N. Tomczak-Jaegermann
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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