树上生灭链的截止与逃逸行为
概率论
2011-02-11 v3 数学物理
math.MP
摘要
我们考虑了树上的离散时间生灭链族，并表明在存在朝向树根的漂移时，这些链沿漂移方向表现出截止行为，而在相反方向表现出逃逸行为。
引用
@article{arxiv.1006.4324,
title = {Cut-off and Escape Behaviors for Birth and Death Chains on Trees},
author = {Olivier Bertoncini},
journal= {arXiv preprint arXiv:1006.4324},
year = {2011}
}
备注
22 pages, 1 figure. This new version, written after referee's suggestions, is shorter and features a more clear presentation of the results. The previous proofs of Section 3, based on difference equations method, are now given in appendix