无限多菌落中无限速率互催化分支过程的长期行为
概率论
2012-09-26 v2
摘要
考虑在[Infinite rate mutually catalytic branching in infinitely many colonies. Construction, characterization and convergence (2008) Preprint]和[Ann. Probab. 38 (2010) 479-497]中构造的无限速率互催化分支过程(IMUB)。对于有限初始条件，我们证明如果交互核是常返的，则长期来看只有一种类型存活。另一方面，在比暂态稍强的条件下，我们证明两种类型可以共存。
引用
@article{arxiv.0910.4120,
title = {Infinite rate mutually catalytic branching in infinitely many colonies: The longtime behavior},
author = {Achim Klenke and Leonid Mytnik},
journal= {arXiv preprint arXiv:0910.4120},
year = {2012}
}
备注
Published in at http://dx.doi.org/10.1214/10-AOP621 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)