Small-time asymptotics of hypoelliptic heat kernels near the diagonal, nilpotentization and related results-Reference-Cited by-同舟云学术

Small-time asymptotics of hypoelliptic heat kernels near the diagonal, nilpotentization and related results

Published:2021-08-26 Issue: Volume:4 Page:897-971
ISSN:2644-9463
Container-title:Annales Henri Lebesgue
language:en
Short-container-title:

Author:

Colin de Verdière Yves,Hillairet Luc,Trélat Emmanuel

Publisher

Cellule MathDoc/CEDRAM

Link

https://ahl.centre-mersenne.org/item/10.5802/ahl.93.pdf

Reference45 articles.

1. On the Hausdorff volume in sub-Riemannian geometry;['Agrachev, Andrei', 'Barilari, Davide', 'Boscain, Ugo'];Calc. Var. Partial Differ. Equ.,2012

2. [ABB20] Agrachev, Andrei; Barilari, Davide; Boscain, Ugo A Comprehensive Introduction to Sub-Riemannian geometry. From the Hamiltonian viewpoint., Cambridge Studies in Advanced Mathematics, 181, Cambridge University Press, 2020 (with an appendix by Igor Zelenko)

3. The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups;['Agrachev, Andrei', 'Boscain, Ugo', 'Gauthier, Jean-Paul', 'Rossi, Francesco'];J. Funct. Anal.,2009

4. Rigid Carnot algebras: a classification;['Agrachev, Andrei', 'Marigo, Alessia'];J. Dyn. Control Syst.,2005

5. Développement asymptotique du noyau de la chaleur hypoelliptique sur la diagonale;['Ben Arous, Gérard'];Ann. Inst. Fourier,1989

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Weyl's law for singular Riemannian manifolds;Journal de Mathématiques Pures et Appliquées;2024-01

2. Spectral estimates and asymptotics for stratified Lie groups;Journal of Functional Analysis;2023-11

3. Rank 5 Trivializable Subriemannian Structure on $$\mathbb {S}^7$$ and Subelliptic Heat Kernel;Potential Analysis;2023-10-28

4. Nodal Sets of Eigenfunctions of Sub-Laplacians;International Mathematics Research Notices;2023-09-21

5. Dirichlet Sub-Laplacians on Homogeneous Carnot Groups: Spectral Properties, Asymptotics, and Heat Content;International Mathematics Research Notices;2023-04-01