Results 91 to 100 of about 1,315,432 (182)

On the spectrum of nondegenerate magnetic Laplacians

open access: yesAnalysis & PDE
We consider a compact Riemannian manifold with a Hermitian line bundle whose curvature is non degenerate. Under a general condition, the Laplacian acting on high tensor powers of the bundle exhibits gaps and clusters of eigenvalues. We prove that for each cluster, the number of eigenvalues that it contains, is given by a Riemann-Roch number.
openaire   +4 more sources

Resonance problems with respect to the Fučík spectrum of the p-Laplacian

open access: yes, 2002
We solve resonance problems with respect to the Fučík spectrum of the p-Laplacian using variational ...
Perera, Kanishka
core   +1 more source

Model selection for network data based on spectral information

open access: yesApplied Network Science
In this work, we explore the extent to which the spectrum of the graph Laplacian can characterize the probability distribution of random graphs for the purpose of model evaluation and model selection for network data applications.
Jairo Iván Peña Hidalgo   +1 more
doaj   +1 more source

The spectrum of the sub-Laplacian on the Heisenberg group

open access: yes
We give a complete analysis of the spectrum of the unique self-adjoint extension of the sub-Laplacian on the one-dimensional Heisenberg ...
Molahajloo, Shahla   +2 more
core  

Evolution of laplacian spectrum under Hamilton's Ricci flow

open access: yes, 2007
Spectrum of the Laplacian-Beltrami operator on closed Riemannian manifolds were extensively studied by geometric analysts since 1970s. The results obtained by S.Y. Cheng, Peter Li and S.T.
Fong, Tsz Ho
core  

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