Maximal multiplicity of Laplacian eigenvalues in negatively curved surfaces
C Letrouit, S Machado - Geometric and Functional Analysis, 2024 - Springer
In this work, we obtain the first upper bound on the multiplicity of Laplacian eigenvalues for
negatively curved surfaces which is sublinear in the genus g. Our proof relies on a trace …
negatively curved surfaces which is sublinear in the genus g. Our proof relies on a trace …
[PDF][PDF] Limit points of uniform arithmetic bass notes
W Hide, B Petri - arXiv preprint arXiv:2412.15111, 2024 - arxiv.org
−→ Page 1 LIMIT POINTS OF UNIFORM ARITHMETIC BASS NOTES WILL HIDE AND BRAM
PETRI Abstract. We prove that the set of limit points of the set of all spectral gaps of closed …
PETRI Abstract. We prove that the set of limit points of the set of all spectral gaps of closed …
Three observations on the Colin de Verdi\ere spectral graph parameter
V Kaluža, V Koval - arXiv preprint arXiv:2410.21226, 2024 - arxiv.org
In this small note, we collect several observations pertaining to the famous spectral graph
parameter $\mu $ introduced in 1990 by Y. Colin de Verdi\ere. This parameter is defined as …
parameter $\mu $ introduced in 1990 by Y. Colin de Verdi\ere. This parameter is defined as …