19 citations · 83 across the 36 of their papers we have counts for
5 papers · 1 filter
Approximate Gaussian isoperimetry for k sets
Gideon Schechtman
Given , the minimal -dimensional Gaussian measure of the union of the boundaries of disjoint sets of equal Gaussian measure in whose union is …
The shattering dimension of sets of linear functionals
Shahar Mendelson, Gideon Schechtman
We evaluate the shattering dimension of various classes of linear functionals on various symmetric convex sets. The proofs here relay mostly on methods from the local theory of nor…
On the Gaussian measure of the intersection of symmetric, convex sets
Gideon Schechtman, Thomas Schlumprecht, Joel Zinn
The Gaussian Correlation Conjecture states that for any two symmetric, convex sets in n-dimensional space and for any centered, Gaussian measure on that space, the measure of the i…
Hypercontractivity and comparison of moments of iterated maxima and minima of independent random variables
P. Hitczenko, Stanisław Kwapień, Wenbo V. Li +3
We provide necessary and sufficient conditions for hypercontractivity of the minima of nonnegative, i.i.d. random variables and of both the maxima of minima and the minima of maxim…
Remarks on Talagrand's deviation inequality for Rademacher functions
William B. Johnson, Gideon Schechtman
Recently Talagrand [T] estimated the deviation of a function on from its median in terms of the Lipschitz constant of a convex extension of to ; namely,…