A note on the maximal out-degree of Galton-Watson trees

Xin He

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arXiv · 1503.02142

A note on the maximal out-degree of Galton-Watson trees

Xin He

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Abstract

In this note we consider both the local maximal out-degree and the global maximal out-degree of Galton-Watson trees. In particular, we show that the tail of any local maximal out-degree and that of the offspring distribution are asymptotically of the same order. However for the global maximal out-degree, this is only true in the subcritical case.

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Xin He. 2015-03-07. A note on the maximal out-degree of Galton-Watson trees. https://arxiv.org/abs/1503.02142

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