標(biāo)題：Limits of Brownian trees with exponential weight on the height
報(bào)告時(shí)間：2025年8月13日（星期三）10：00-11：00
報(bào)告地點(diǎn)：人民大街校區(qū)惟真樓523報(bào)告廳
主講人：何輝
主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院
報(bào)告內(nèi)容簡(jiǎn)介：
We consider a Brownian continuum random tree τ and its local time process at level s, say Zs, which evolves as a Feller branching diffusion. Denote by H(τ) and N the height and the law of the tree τ, respectively. Let μ ∈ R be a constant. We show that as r → ∞,
where if μ < 0, then τμ is a Kesten tree and if μ > 0, then τμ is the so-called Poisson tree constructed in Abraham, Delmas and He (2022, arXiv) by studying the local limits of τ. Moreover, Zμ is the local time process of τμ, which is a new diffusion, as already proved by Overbeck in 1994 by studying the Martin boundary of Z. We give a new representation of this diffusion using an elementary SDE with a Poisson immigration. The talk is based on some ongoing works with Romain Abraham, Jean-Fran?ois Delmas and Meltem ünel.
主講人簡(jiǎn)介：
何輝，北京師范大學(xué)教授。2003年本科畢業(yè)于安徽大學(xué)，2008年博士畢業(yè)于北京師范大學(xué)，2009-2010年在法國(guó)奧爾良大學(xué)做博士后。主要從事與概率論有關(guān)的教學(xué)和科研工作。
