论文标题
条件bienaym {é}的一般添加剂功能的全球政权-Galton-Watson树
Global Regime for General Additive Functionals of Conditioned Bienaym{é}-Galton-Watson Trees
论文作者
论文摘要
当后代分布在于稳定分布的吸引域时，我们为有条件的bienaym {é} -galton-watson树提供了非常通用的加性功能的不变性原理，限制是稳定的l {é} vy树的添加功能。这包括当后代分布具有有限差异的情况（l {é} vy树是布朗尼树）。我们还使用积分测试描述了指控功能的相变，具体取决于大小和高度。
We give an invariance principle for very general additive functionals of conditioned Bienaym{é}-Galton-Watson trees in the global regime when the offspring distribution lies in the domain of attraction of a stable distribution, the limit being an additive functional of a stable L{é}vy tree. This includes the case when the offspring distribution has finite variance (the L{é}vy tree being then the Brownian tree). We also describe, using an integral test, a phase transition for toll functions depending on the size and height.
