Dobrushin 唯一性条件下 Gibbs 测度的 Poincaré 与传输不等式
概率论
2007-05-23 v1
摘要
本文在 Dobrushin 唯一性条件下,建立了 Gibbs 测度的谱间隙(Poincaré 不等式)与传输不等式的显式且尖锐的估计。此外,我们给出了相互作用粒子系统的 Liggett 定理的一个推广。
引用
@article{arxiv.math/0611635,
title = {Poincar\'{e} and transportation inequalities for Gibbs measures under the Dobrushin uniqueness condition},
author = {Liming Wu},
journal= {arXiv preprint arXiv:math/0611635},
year = {2007}
}
备注
Published at http://dx.doi.org/10.1214/009117906000000368 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)