报告摘要: In this paper, we study the precise deviations for the number of branches of a random binary tree in the context of Horton-Strahler analysis. We establish precise large deviations, precise moderate deviations, and Cram\'er-type moderate deviations for the number of branches of the random binary tree. As a consequence of the Cram\'er-type moderate deviations, a Berry-Esseen bound is derived. The derivations of these results rely heavily on asymptotic analysis of certain discrete summations.

This is joint work with Fuqing Gao and Zhi Qu from Wuhan University.

报告人简介：Youzhou Zhou(周友洲) have completed his PhD study in 2014 at McMaster University in Canada. His thesis focuses on asymptotic behaviour of three infinite dimensional diffusions arising from population genetics. After graduation, he worked at Zhongnan University of Economics and Law, and joined Xi’an Jiaotong-Liverpool University since September 2017. His research interests are mainly about asymptotic behaviours of Markov process, such as large deviation principle and moderate deviation principle in statistical physics and population genetics.

报告时间：2025年4月18日 14:00-15:00

报告地点：东一503

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