The exact Laplacian spectrum for the Dyson hierarchical network. [PDF]
Agliari E, Tavani F.
europepmc +1 more source
On the spectrum of nondegenerate magnetic Laplacians
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
For the Weinstein Laplacian considered on the Hilbert space which makes it a self-adjoint operator, the Von Neumann spectral decomposition is given. As applications, a new integral representation for the Weinstein heat kernel is given. Also, it is proved
Abdelilah El Mourni +2 more
doaj +1 more source
Model selection for network data based on spectral information
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 fundamental group and the spectrum of the laplacian
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Quantitative susceptibility mapping in pediatric neuroimaging: a systematic review of applications and advancements. [PDF]
Pacchiano F +8 more
europepmc +1 more source
Atom-in-Molecule Analysis, Density Function Theory Research, Spectroscopy, Charge Transfer, and (Static, Dynamic) Nonlinear Optical Effects of (Z)4,4<sup>'</sup>-Bis[-3-N-Ethyl-2-N'-(Phenylimino) Thiazolidin-4-One] Methane. [PDF]
Benyahlou ZD +13 more
europepmc +1 more source
Flat-Band Localization in Electrical Circuits from One to Three Dimensions. [PDF]
Shao K, Liu F.
europepmc +1 more source
Exploring Neurofunctional Phase Transition Patterns in Autism Spectrum Disorder via Thermodynamics Parameters. [PDF]
Qin D, Chen Y, Kuruoglu EE.
europepmc +1 more source

