Semiclassical analysis on compact nilmanifolds
Veronique Fischer

TL;DR
This paper develops semi-classical analysis techniques on compact nilmanifolds, exploring quantum limits for sub-Laplacians and Rockland operators, contributing to understanding quantum behavior in these geometric settings.
Contribution
It introduces semi-classical analysis on compact nilmanifolds and investigates quantum limits for sub-Laplacians and Rockland operators, a novel extension in this area.
Findings
Properties of quantum limits for sub-Laplacians established
Semi-classical limits characterized on nilmanifolds
Analysis applicable to positive Rockland operators
Abstract
In this paper, we define and study semi-classical analysis and semi-classical limits on compact nil-manifolds. As an application, we obtain properties of quantum limits for sub-Laplacians in this context, and more generally for positive Rockland operators.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Advanced Operator Algebra Research · Random Matrices and Applications
