二维 Lotka--Volterra 模型的重整化
概率论
2008-12-18 v1
摘要
我们证明了临界点附近的重整化二维 Lotka--Volterra 模型收敛于超布朗运动。这一结果被用于确立在接近选民模型(voter model)的一系列参数值下,稀有类型的长期生存性。
引用
@article{arxiv.0804.0158,
title = {Renormalization of the two-dimensional Lotka--Volterra model},
author = {J. Theodore Cox and Edwin A. Perkins},
journal= {arXiv preprint arXiv:0804.0158},
year = {2008}
}
备注
Published in at http://dx.doi.org/10.1214/07-AAP453 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)