论文标题
在无限维度的尼尔植物谎言基团上的光谱差距不平等
Spectral Gap Inequalities on Nilpotent Lie Groups in Infinite Dimensions
论文作者
论文摘要
我们开发了一个通用框架，该框架是在弱U型结合和弱单位光谱间隙不等式方面，针对无限尺寸自旋空间的Gibbs测量。然后，我们在本地规范上提供了足够的条件，并提供了使用Kaplan Norm构建的措施的例子，并为Heisenberg组的Carnot-Caratheodory距离提供了一些结果。
We develop a general framework for spectral gap inequalities for Gibbs measures on infinite dimensional spin spaces over nilpotent Lie groups in terms of weak U-bounds and weak single-site spectral gap inequalities. We then provide sufficient conditions on the local specification and give examples of measures constructed using the Kaplan norm and generalising a few results for the Carnot-Caratheodory distance on the Heisenberg group.
