Dimension Free Weak Concentration of Measure Phenomenon
Author(s)
Bobkov, S. G.
Advisor(s)
Editor(s)
Collections
Supplementary to:
Permanent Link
Abstract
For product probability measures \mu^n, we obtain necessary and sufficient conditions (in terms of \mu) for dimension free isoperimetric inequalities of the form
\mu^n (A + h[-1,1]^n)\ge R_h(\mu^n(A)) to hold; for a function R such that R(p) > p, for
all (some) p \in (0,1), and for h > 0 large enough. Some questions related to the
concentration of measure phenomenon are also discussed.
Sponsor
ISF NXZ000, NXZ300 and Grant No. 94-1.4-57 from the Grant Center of Fundamental Sciences in Sankt-Petersburg University
Date
1995-07-24
Extent
Resource Type
Text
Resource Subtype
Pre-print