KPZ 的分部积分与不变测度
概率论
2025-04-09 v2 数学物理
math.MP
摘要
利用 Stein 方法和 Gauss 分部积分，我们直接证明了带漂移 Brown 运动是 KPZ 方程的不变测度（模去高度）这一已知事实。
引用
@article{arxiv.2409.08465,
title = {Integration by parts and invariant measure for KPZ},
author = {Yu Gu and Jeremy Quastel},
journal= {arXiv preprint arXiv:2409.08465},
year = {2025}
}
备注
v2, 17 pages, revised version. There was a mistake in Lemma 4.3 of v1 which we fixed. The rest of the proof stays the same