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On a new limit theorem in probability theory (Translation of 'Sur un nouveau th\'eor\`eme-limite de la th\'eorie des probabilit\'es')

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arxiv 1802.05988 v4 pith:H2MMQ2Z6 submitted 2018-02-16 math.HO

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This is a translation of Harald Cram\'er's article, 'On a new limit theorem in probability theory', published in French in 1938 and deriving what is considered by mathematicians to be the first large deviation result. My hope is that this translation will help disseminate this historically important work, 80 years after its publication.

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  1. Uniform temporal trees

    math.PR 2025-01 accept novelty 6.0 of 10

    A p-percolated uniform temporal tree on an n-ary tree has size converging to an exponential law, height asymptotic to e times np, and typical depth asymptotic to np.

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