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Influences in Product Spaces: KKL and BKKKL Revisited

Published online by Cambridge University Press:  19 January 2004

EHUD FRIEDGUT
EHUD FRIEDGUT
Affiliation:
Institute of Mathematics, Hebrew University, Givat Ram, Jerusalem, Israel (e-mail: ehudf@math.huji.ac.il)
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Abstract

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The notion of the influence of a variable on a Boolean function on a product space has attracted much attention in combinatorics, computer science and other fields. Two of the basic papers dealing with this notion are by Kahn, Kalai and Linial (KKL) and Bourgain, Kahn, Kalai, Katznelson and Linial (BKKKL).

In this paper we survey the results in those papers and offer some simpler proofs, corrections, and extensions of the theorems presented there. We present several related open problems.

Information

Type
Paper
Information
Combinatorics, Probability and Computing , Volume 13 , Issue 1 , January 2004, pp. 17 - 29
Copyright
© 2004 Cambridge University Press