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SUMMARY:A new definition of influences of Boolean functions - Sen\, A (Cam
 bridge)
DTSTART:20110309T151500Z
DTEND:20110309T161500Z
UID:TALK30189@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The notion of influences of variables on Boolean functions is 
 one of the central concepts in the theory of discrete harmonic analysis. W
 e present a new definition of influences in product spaces of continuous d
 istributions. Our definition is geometric\, and for monotone sets it is id
 entical with the measure of the boundary with respect to uniform enlargeme
 nt. We prove analogues of the Kahn-Kalai-Linial (KKL) and Talagrand's infl
 uence sum bounds for the new definition.  This result is then used to obta
 in an isoperimetric inequality for the Gaussian measure on R^n and the cla
 ss of sets invariant under transitive permutation group of the coordinates
 . I will also discuss some statistical connection to this problem. This is
  joint work with Nathan Keller and Elchanan Mossel\n\n
LOCATION:Seminar Room 1\, Newton Institute
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