Statistics Papers
Document Type
Journal Article
Date of this Version
6-2012
Publication Source
Israel Journal of Mathematics
Volume
189
Issue
1
Start Page
347
Last Page
396
DOI
10.1007/s11856-011-0181-7
Abstract
Gaussian noise stability results have recently played an important role in proving results in hardness of approximation in computer science and in the study of voting schemes in social choice. We prove a new Gaussian noise stability result generalizing an isoperimetric result by Borell on the heat kernel and derive as applications:
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An optimality result for majority in the context of Condorcet voting.
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A proof of a conjecture on “cosmic coin tossing” for low influence functions.
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A proof of the “Plurality is Stablest Conjecture”.
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That the Frieze-Jerrum SDP for MAX-q-CUT achieves the optimal approximation factor assuming the Unique Games Conjecture.
Copyright/Permission Statement
The final publication is available at Springer via http://dx.doi.org/10.1007/s11856-011-0181-7.
Recommended Citation
Isaksson, M., & Mossel, E. (2012). Maximally Stable Gaussian Partitions With Discrete Applications. Israel Journal of Mathematics, 189 (1), 347-396. http://dx.doi.org/10.1007/s11856-011-0181-7
Date Posted: 27 November 2017
This document has been peer reviewed.