Results 41 to 50 of about 246,310 (302)
Communications in Partial Differential Equations, 2014 14 pages; this version is considerably ...
MUSINA, Roberta, Nazarov A. I.
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On the Laplacian, signless Laplacian and normalized Laplacian characteristic polynomials of a graph [PDF]
Czechoslovak Mathematical Journal, 2013 The authors prove a number of formulas on the characteristic polynomials of the Laplacian, signless Laplacian and normalized Laplacian matrices of graphs. The use of these formulas is exemplified in constructions of graphs cospectral with respect to the appropriate matrix.
Guo, Ji-Ming, Li, Jianxi, Shiu, Wai Chee
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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
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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.
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Discrete connection Laplacians [PDF]
Proceedings of the American Mathematical Society, 2008 Final version, to appear in Proc. Amer.
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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
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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.
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Nonlocal Conduction in a Metawire
Advanced Materials, Volume 37, Issue 13, April 2, 2025.A 1D metawire composed of twisted copper wires is designed and realized. This metamaterial exhibits pronounced effects of nonlocal electric conduction according to Ohm's law. The current at one location not only depends on the electric field at that location but also on other locations.
Julio Andrés Iglesias Martínez +3 more
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Advanced Robotics Research, EarlyView.Embedded flexible sensing technologies advance underwater soft robotics, yet most systems still suffer from hysteresis and limited perceptiveness. Instead, vision‐based tactile sensors provide reliable and rapid feedback essential for complex underwater tasks.
Qiyi Zhang +5 more
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The Laplacian Eigenvalues and Invariants of Graphs
, 2014 In this paper, we investigate some relations between the invariants (including vertex and edge connectivity and forwarding indices) of a graph and its Laplacian eigenvalues.
Pan, Rong-Ying +2 more
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