This is an announcement for the paper "Small ball probability and
Dvoretzky theorem" by Bo'az Klartag and Roman Vershynin.
Abstract: Large deviation estimates are by now a standard tool inthe
Asymptotic Convex Geometry, contrary to small deviationresults. In this
note we present a novel application of a smalldeviations inequality to a
problem related to the diameters of random sections of high dimensional
convex bodies. Our results imply an unexpected distinction between the
lower and the upper inclusions in Dvoretzky Theorem.
Archive classification: Functional Analysis; Probability
Mathematics Subject Classification: 46B07; 60F10
The source file(s), diameters.tex: 30564 bytes, is(are) stored in gzipped
form as 0410001.gz with size 10kb. The corresponding postcript file has
gzipped size 49kb.
Submitted from: vershynin(a)math.ucdavis.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0410001
or
http://arXiv.org/abs/math.FA/0410001
or by email in unzipped form by transmitting an empty message with
subject line
uget 0410001
or in gzipped form by using subject line
get 0410001
to: math(a)arXiv.org.
