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Three problems for the clairvoyant demon

2009/03/27 by Geoffrey Grimmett, Grimmett, Geoffrey
Arts and Humanities · Mathematics · #60E15 #60K35 #82B20 #FOS: Mathematics #Probability (math.PR) #Theology and Philosophy of Evil #math.PR #msc:60E15 #msc:60K35 #msc:82B20

paper · pdf · doi:10.48550/arxiv.0903.4749

Minor changes made for v2

openalex publication_date 2009/03/27 · arxiv created 2009/06/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A number of tricky problems in probability are discussed, having in common one or more infinite sequences of coin tosses, and a representation as a problem in dependent percolation. Three of these problems are of `Winkler' type, that is, they ask about what can be achieved by a clairvoyant demon.

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