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 2022Show all

4 papers · 1 filter

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…

cs.GT2022★ 1 cited

Noise Stability of Ranked Choice Voting

Steven Heilman

We conjecture that Borda count is the ranked choice voting method that best preserves the outcome of an election with randomly corrupted votes, among all fair voting methods with s…

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…