Electronic Communications in Probability

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

Raphaël Rossignol

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We revisit the work of Bourgain et al. (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 $\{1,...,r\}^N$, generalizing one of the main results of Talagrand (1994).

Article information

Electron. Commun. Probab., Volume 13 (2008), paper no. 4, 35-44.

Accepted: 19 January 2008
First available in Project Euclid: 6 June 2016

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 60F20: Zero-one laws
Secondary: 28A35: Measures and integrals in product spaces 60E15: Inequalities; stochastic orderings

Threshold phenomenon approximate zero-one law influences

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Rossignol, Raphaël. Threshold phenomena on product spaces: BKKKL revisited (once more). Electron. Commun. Probab. 13 (2008), paper no. 4, 35--44. doi:10.1214/ECP.v13-1344. https://projecteuclid.org/euclid.ecp/1465233431

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