20 citations · 42 across the 28 of their papers we have counts for
5 papers · 1 filter
Sharper Bounds for the Complex Grothendieck Constant
Steven Heilman, Chris Jones, Giulio Malavolta
We show that , where is the complex Grothendieck constant. The upper bound improves on Haagerup's bound of $1.40490913\ldots…
An Upper Bound on Grothendieck's Constant
Steven Heilman
We show that Grothendieck's real constant can be upper bounded by projecting vectors onto a random plane through the origin and thresholding a degree five Hermite polynomial.…
A Lower Bound for Grothendieck's Constant
Steven Heilman
We show that Grothendieck's real constant satisfies , improving on the lower bound of of Davie and Reeds from 1984 and 1991,…
The Structure of Gaussian Minimal Bubbles
Steven Heilman
It is shown that disjoint sets with fixed Gaussian volumes that partition with minimum Gaussian surface area must be -dimensional. This follows from a s…
A Moment Majorization principle for random matrix ensembles
Steven Heilman
We prove a moment majorization principle for matrix-valued functions with domain , . The principle is an inequality between higher-order moments of a…