$\sqrt{8/3}$-Liouville 布朗运动的两侧热核估计
概率论
2026-04-16 v2 数学物理
复变函数
math.MP
摘要
Liouville 布朗运动(LBM)是 Liouville 量子重力(LQG) 表面上的标准扩散过程。本文建立了当 时的热核的上、下界，以 -LQG 度量表示，这些界限在指数中的多对数因子精度。
引用
@article{arxiv.2507.13269,
title = {Two-sided heat kernel bounds for $\sqrt{8/3}$-Liouville Brownian motion},
author = {Sebastian Andres and Naotaka Kajino and Konstantinos Kavvadias and Jason Miller},
journal= {arXiv preprint arXiv:2507.13269},
year = {2026}
}
备注
134 pages, 8 figures; some typos have been fixed, the list of references has been updated, and a paragraph describing special features of $\sqrt{8/3}$-LQG has been added in the introduction