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arXiv · 1504.04358

Sub-exponential tail bounds for conditioned stable Bienaym\'e-Galton-Watson trees

Igor Kortchemski
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Abstract

We establish uniform sub-exponential tail bounds for the width, height and maximal outdegree of critical Bienaym\'e-Galton-Watson trees conditioned on having a large fixed size, whose offspring distribution belongs to the domain of attraction of a stable law. This extends results obtained for the height and width by Addario-Berry, Devroye & Janson in the finite variance case.

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Igor Kortchemski. 2015-04-16. Sub-exponential tail bounds for conditioned stable Bienaym\'e-Galton-Watson trees. https://arxiv.org/abs/1504.04358

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