论文标题

关于两步Nilmanifolds的半古典分析的一些评论

Some remarks on semi-classical analysis on two-step Nilmanifolds

论文作者

Kammerer, Clotilde Fermanian, Fischer, Véronique, Flynn, Steven

论文摘要

在本文中,我们介绍了有关在尼尔氏谎言群和尼尔曼福德的环境中发展半经典方法的最新结果。 我们专注于两步的尼尔曼福尔德(Nilmanifolds),并表现出与亚拉普拉斯(Sub-Laplacian)特征性相关的密度序列较弱限制的某些特性。我们强调几何学对这些特性的影响。

In this paper, we present recent results about the developement of a semiclassical approach in the setting of nilpotent Lie groups and nilmanifolds. We focus on two-step nilmanifolds and exhibit some properties of the weak limits of sequence of densities associated with eigenfunctions of a sub-Laplacian. We emphasize the influence of the geometry on these properties.

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