Events — Colloquia & Seminars

Edge-isoperimetry and Influences

Speaker: Alex Samorodnitsky, Hebrew University & Microsoft Research

Date: Friday, November 21, 2008

Talk: 4:00 PM, 366 WVH

Abstract

We will give alternative proofs of two known results on influences of boolean functions, deriving them from a variant of the edge-isoperimetric inequality on the boolean cube. The first result is a theorem of Kahn, Kalai, and Linial stating that every boolean function has an influential variable. The second result is a theorem of Friedgut which states that a function with a small sum of influences essentially depends only a on few of its variables.

(joint work with Dvir Falik)

Brief Biography

none provided