Local Times of Subdiffusive Biased Walks on Trees

被引：7

作者：

Hu, Yueyun ^{[1
]}

机构：

[1] Univ Paris XIII, LAGA, 99 Ave J-B Clement, F-93430 Villetaneuse, France

来源：

JOURNAL OF THEORETICAL PROBABILITY | 2017年 / 30卷 / 02期

关键词：

Biased random walk on the Galton-Watson tree; Local time; Concave recursive equations; TRANSIENT RANDOM-WALKS; GALTON-WATSON TREES; RANDOM ENVIRONMENT;

D O I：

10.1007/s10959-015-0652-6

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Consider a class of null-recurrent randomly biased walks on a supercritical Galton-Watson tree. We obtain the scaling limits of the local times and the quenched local probability for the biased walk in the subdiffusive case. These results are a consequence of a sharp estimate on the return time, whose analysis is driven by a family of concave recursive equations on trees.

引用

页码：529 / 550

页数：22

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