Results 31 to 40 of about 26,406 (246)
On singularity and properties of eigenvectors of complex Laplacian matrix of multidigraphs
AKCE International Journal of Graphs and Combinatorics, 2023 In this article, we associate a Hermitian matrix to a multidigraph G. We call it the complex Laplacian matrix of G and denote it by [Formula: see text]. It is shown that the complex Laplacian matrix is a generalization of the Laplacian matrix of a graph.
Sasmita Barik +2 more
doaj +1 more source
The Bayesian-Laplacian Brain [PDF]
European Journal of Neuroscience, 2016 AbstractWe outline what we believe could be an improvement in future discussions of the brain acting as a Bayesian-Laplacian system. We do so by distinguishing between two broad classes of priors on which the brain’s inferential systems operate: in one category are biological priors (β priors) and in the other artifactual ones (α priors).
Semir Zeki, Oliver Y. Chén
openaire +3 more sources
The second immanant of some combinatorial matrices [PDF]
Transactions on Combinatorics, 2015 Let $A = (a_{i,j})_{1 leq i,j leq n}$ be an $n times n$ matrix where $n geq 2$. Let $dt(A)$, its second immanant be the immanant corresponding to the partition $lambda_2 = 2,1^{n-2}$.
R. B. Bapat +1 more
doaj
Cospectral constructions for several graph matrices using cousin vertices
Special Matrices, 2021 Graphs can be associated with a matrix according to some rule and we can find the spectrum of a graph with respect to that matrix. Two graphs are cospectral if they have the same spectrum.
Lorenzen Kate
doaj +1 more source
On fractional Laplacians – 3 [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2016 We investigate the role of the noncompact group of dilations in $\mathbb R^n$ on the difference of the quadratic forms associated to the fractional Dirichlet and Navier Laplacians. Then we apply our results to study the Brezis--Nirenberg effect in two families of noncompact boundary value problems involving the Navier-Laplacian.
MUSINA, Roberta, Nazarov, A. I.
openaire +3 more sources
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 We set out to obtain estimates of the Laplacian Spectrum of Riemannian manifolds with non-empty boundary. This was achieved using standard doubled manifold techniques. In simple terms, we pasted two copies of the same manifold along their common boundary
Sabatini Luca
doaj +1 more source
Applied SciencesAccurate characterization of rail corrugation is essential for the operation and maintenance of urban rail transit. To enhance the representation capability for rail corrugation, this study proposes a sound–vibration feature fusion method based on ...
Yun Liao +4 more
doaj +1 more source
Discrete connection Laplacians [PDF]
Proceedings of the American Mathematical Society, 2008 Final version, to appear in Proc. Amer.
openaire +2 more sources
Laplacian Distribution and Domination [PDF]
Graphs and Combinatorics, 2017 Let $m_G(I)$ denote the number of Laplacian eigenvalues of a graph $G$ in an interval $I$, and let $ (G)$ denote its domination number. We extend the recent result $m_G[0,1) \leq (G)$, and show that isolate-free graphs also satisfy $ (G) \leq m_G[2,n]$.
Domingos M. Cardoso +2 more
openaire +4 more sources
Maximally degenerate laplacians [PDF]
Annales de l'Institut Fourier, 1996 The Laplacian Δ g of a compact Riemannian manifold (M,g) is called maximally degenerate if its eigenvalue multiplicity function m g (k) is of maximal growth among metrics of the same dimension and volume. Canonical spheres (S n , can ) and CROSSes are MD, and one asks if they are the only examples.
openaire +2 more sources