Probability Seminar: Standard Simplices and Pluralities are Not the Most Noise Stable

Probability Seminar: Standard Simplices and Pluralities are Not the Most Noise Stable

Probability Seminar
Apr 9, 2014, 03:00 PM - 04:00 PM | 332 Evans Hall | Happening As Scheduled
Steven Heilman, New York University
The Standard Simplex Conjecture and the Plurality is Stablest Conjecture are two conjectures stating that certain partitions are optimal with respect to Gaussian and discrete noise stability respectively. These two conjectures are natural generalizations of the Gaussian noise stability result by Borell (1985) and the Majority is Stablest Theorem (2004). Here we show that the standard simplex is...