Steven M. Heilman

activity

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

collaborators

Showing 2022 · math.PRShow all

3 papers · 2 filters

math.PR2022

Hyperstable Sets with Voting and Algorithmic Hardness Applications

Steven Heilman

The noise stability of a Euclidean set $A$ with correlation $ρ$ is the probability that $(X, Y) \in A \times A$ , where $X, Y$ are standard Gaussian random vectors with correlation $ρ\i…

math.PR2022★ 2 cited

Convex Cylinders and the Symmetric Gaussian Isoperimetric Problem

Steven Heilman

Let $Ω$ be a measurable Euclidean set in $R^{n}$ that is symmetric, i.e. $Ω = - Ω$ , such that $Ω \times R$ has the smallest Gaussian surface area among all measurable…

math.PR2022

Dimension-Free Noninteractive Simulation from Gaussian Sources

Steven Heilman, Alex Tarter

Let $X$ and $Y$ be two real-valued random variables. Let $(X_{1}, Y_{1}), (X_{2}, Y_{2}), \dots$ be independent identically distributed copies of $(X, Y)$ . Suppose there are two player…