相对于布朗运动的 Gibbs 测度的非唯一性
概率论
2010-07-16 v2 数学物理
math.MP
摘要
我们考虑具有单点势 V 的 Feynman-Kac 型相对于布朗运动的 Gibbs 测度。我们表明，对于一大类 V（包括库仑势），存在无限多个无限体积 Gibbs 测度。
引用
@article{arxiv.0707.1462,
title = {Non-Uniqueness of Gibbs measures relative to Brownian motion},
author = {Volker Betz and Olaf Wittich},
journal= {arXiv preprint arXiv:0707.1462},
year = {2010}
}
备注
This paper has been withdrawn by the author due to a fatal error in Theorem 3.5 (the main theorem, unfortunately)