Some Remarks on Semi-classical Analysis on Two-Step Nilmanifolds

Clotilde Fermanian Kammerer; Véronique Fischer; Steven Flynn

doi:10.1007/978-981-99-5894-8_4

Some Remarks on Semi-classical Analysis on Two-Step Nilmanifolds

Clotilde Fermanian Kammerer, Véronique Fischer, Steven Flynn

Research output: Chapter or section in a book/report/conference proceeding › Chapter or section

Abstract

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.

Original language	English
Title of host publication	Quantum Mathematics I INdAM 2022
Editors	M. Corregi, M. Falconi
Place of Publication	Singapore
Publisher	Springer Singapore
Pages	129-162
Number of pages	34
ISBN (Electronic)	9789819958948
ISBN (Print)	9789819958931
DOIs	https://doi.org/10.1007/978-981-99-5894-8_4
Publication status	Published - 1 Dec 2023

Publication series

Name	Springer INdAM Series
Volume	57
ISSN (Print)	2281-518X
ISSN (Electronic)	2281-5198

Funding

Acknowledgments The authors acknowledges the support of the Leverhulme Trust via Research Project Grant 2020-037. The first author thanks Cyril Letrouit for inspiring discussions.

Funders	Funder number
Leverhulme Trust	2020-037

Keywords

Semiclassical analysis on groups
Sub-Laplacians on nilmanifolds

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/978-981-99-5894-8_4

Cite this

Some Remarks on Semi-classical Analysis on Two-Step Nilmanifolds. / Kammerer, Clotilde Fermanian; Fischer, Véronique; Flynn, Steven.
Quantum Mathematics I INdAM 2022. ed. / M. Corregi; M. Falconi. Singapore: Springer Singapore, 2023. p. 129-162 (Springer INdAM Series; Vol. 57).

Research output: Chapter or section in a book/report/conference proceeding › Chapter or section

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Some Remarks on Semi-classical Analysis on Two-Step Nilmanifolds

Abstract

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Keywords

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Access to Document

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