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Probability asymptotics: notes on notation

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arxiv 1108.3924 v1 pith:3A6ZXFAG submitted 2011-08-19 math.PR

Svante Janson This is my paper
classification math.PR
keywords randomvariablesasymptoticasymptoticscollecteddifferentdiscussedeasy
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Some asymptotic notions for random variables are discussed. In particular, different versions of O and o for sequences of random variables are studied. The results are elementary and more or less well-known, but collected here for future use and easy reference.

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  1. Discrete snakes with globally centered displacements

    math.PR 2025-05 accept novelty 7.0 of 10

    Globally centered discrete snakes on size-conditioned critical Bienaymé trees converge, after rescaling, to the Brownian snake, with heavy displacement tails producing hairy tour limits.

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