Variance of Lipschitz Functions and an Isoperimetric Problem for a Class of Product Measures
Author(s)
Bobkov, S. G.
Advisor(s)
Editor(s)
Collections
Supplementary to:
Permanent Link
Abstract
The maximal variance of Lipschitz functions (with respect to the
\ell_1-distance) of independent random vectors is found. This is then used
to solve the isoperimetric problem, uniformly in the class of product
probability measures with given variance.
Sponsor
ISF grant NZX000 and NZX300 and NSF Mathematical Sciences Postdoctoral Fellowship
Date
1995-07-10
Extent
Resource Type
Text
Resource Subtype
Pre-print