Steven M. Heilman

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20092026

most citedLocalized Eigenfunctions: Here You See Them, There You Don't

20 citations · 42 across the 28 of their papers we have counts for

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math.PR2017

A Periodic Isoperimetric Problem Related to the Unique Games Conjecture

Steven Heilman

We prove the endpoint case of a conjecture of Khot and Moshkovitz related to the Unique Games Conjecture, less a small error. Let $n \geq 2$ . Suppose a subset $Ω$ of $n$ -dimensional…

math.PR2017

Symmetric Convex Sets with Minimal Gaussian Surface Area

Steven Heilman

Let $Ω \subset R^{n + 1}$ have minimal Gaussian surface area among all sets satisfying $Ω = - Ω$ with fixed Gaussian volume. Let $A = A_{x}$ be the second fundamental form of $\par…