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Infinite products and zero-one laws in categorical probability

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 نشر من قبل Eigil Rischel
 تاريخ النشر 2019
  مجال البحث
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Markov categories are a recent category-theoretic approach to the foundations of probability and statistics. Here we develop this approach further by treating infinite products and the Kolmogorov extension theorem. This is relevant for all aspects of probability theory in which infinitely many random variables appear at a time. These infinite tensor products $bigotimes_{i in J} X_i$ come in t

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