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MR2641082 60D05 (28A80)
Nazarov, F.; Peres, Y.; Volberg, A. The power law for the Buffon needle probability of the four-corner Cantor set. Algebra i Analiz 22 (2010), no. 1, 82--97; translation in St. Petersburg Math. J. 22 (2010), no. 1, 61–72
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