Threshold phenomena on product spaces: BKKKL revisited (once more)

Mathematics – Probability

Scientific paper

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10 pages

Scientific paper

We revisit the work of Bourgain, Kahn, Kalai, Katznelson and Linial (1992) --
referred to as ``BKKKL'' in the title -- about influences on Boolean functions
in order to give a precise statement of threshold phenomenon on the product
space $\{1,..., r\}^\NN$, generalizing one of the main results of a paper by
Talagrand (1994).

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