Ghirlanda–Guerra恒等式与超度量性之间的联系
概率论
2010-01-27 v4 数学物理
math.MP
摘要
我们考虑一个对称正定弱可交换的无限随机矩阵，并证明，在其元素取有限个数值的技术条件下，Ghirlanda–Guerra恒等式蕴含超度量性。
引用
@article{arxiv.0810.0743,
title = {A connection between the Ghirlanda--Guerra identities and ultrametricity},
author = {Dmitry Panchenko},
journal= {arXiv preprint arXiv:0810.0743},
year = {2010}
}
备注
Published in at http://dx.doi.org/10.1214/09-AOP484 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)