时间零附近成结过程的尺度限制

IF 1.2 2区数学 Q2 STATISTICS & PROBABILITY

Annales De L Institut Henri Poincare-probabilites Et Statistiques Pub Date : 2017-05-01 DOI:10.1214/15-AIHP727

Batı Şengül

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引用次数: 0

摘要

本文在正则变假设下，得到了Λ-coalescents在时间零附近的标度极限。特别地，这涵盖了Kingman 's coalescence和beta coalescence的案例。极限过程是具有无限质量的聚结，其几何形式为与聚结相关的埃文斯度量空间的切锥。在金曼聚结的情况下，我们可以用一个双面布朗运动得到一个极限空间的简单构造。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Scaling limits of coalescent processes near time zero

In this paper we obtain scaling limits of Λ-coalescents near time zero under a regularly varying assumption. In particular this covers the case of Kingman’s coalescent and beta coalescents. The limiting processes are coalescents with infinite mass, obtained geometrically as tangent cones of Evans metric space associated with the coalescent. In the case of Kingman’s coalescent we are able to obtain a simple construction of the limiting space using a two-sided Brownian motion.

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来源期刊

Annales De L Institut Henri Poincare-probabilites Et Statistiques 数学-统计学与概率论

CiteScore

2.70

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Probability and Statistics section of the Annales de l’Institut Henri Poincaré is an international journal which publishes high quality research papers. The journal deals with all aspects of modern probability theory and mathematical statistics, as well as with their applications.