  A radial probability measure is a probability measure with a density (with
respect to the Lebesgue measure) which depends only on the distances to the
origin. Consider the Euclidean space enhanced with a radial probability
measure. A correlation problem concerns showing whether the radial measure of
the intersection of two symmetric convex bodies is greater than the product of
the radial measures of the two convex bodies. A radial measure satisfying this
property is said to satisfy the correlation property. A major question in this
field is about the correlation property of the (standard) Gaussian measure. The
main result in this paper is a theorem suggesting a sufficient condition for a
radial measure to satisfy the correlation property. A consequence of the main
theorem will be a proof of the correlation property of the Gaussian measure.
