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Poisson-generic points

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No logo availableCentre International de Rencontres Mathématiques (CIRM)
 Weiss, Benjamin

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Poisson-generic points
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28
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CC Attribution - NonCommercial - NoDerivatives 2.0 Generic:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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I will discuss a criterion for randomness of sequences of zeros and ones which is strictly stronger than normality, butholds for almost every sequence generated by i.i.d. random variables with distribution {1/2, 1/2}. Briefly put, the idea is count the number of times blocks of length n appear in the initial block of length 2n. I will also discuss an extension of this idea to toral automorphisms.
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