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On the spectral gap of Boltzmann measures on the unit sphere
Statistics & Probability Letters ( IF 0.9 ) Pub Date : 2021-02-01 , DOI: 10.1016/j.spl.2020.108963
Biao Li , Yutao Ma , Zhengliang Zhang

Abstract In this paper, we give a two sided estimate on the spectral gap for the Boltzmann measures μ n , h with h ∈ R and n ≥ 3 by reducing multi-dimensional case to one dimensional diffusion. Moreover, the result for the one dimensional diffusion is sharp.

中文翻译:

论单位球面上玻尔兹曼测度的谱隙

摘要 在本文中,我们通过将多维情况简化为一维扩散,对玻尔兹曼测度 μ n , h 的光谱间隙进行了双边估计,其中 h ∈ R 且 n ≥ 3。此外,一维扩散的结果是尖锐的。
更新日期:2021-02-01
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