Results 1 to 10 of about 775 (185)
Red Blood Cell Membrane Mechanics Using Discrete Exterior Calculus (DEC) and Optimization. [PDF]
Int J Numer Method Biomed EngWe present a novel DEC approach for calculating RBC shapes applicable to other cell types and membrane problems. We derive an energy minimization equation that can be solved semi‐implicitly, and a Lie derivative method to control node spacing. This novel work should aid computational modeling in many biological situations.
Afas KC, Goldman D.
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An information geometrical evaluation of Shannon information metrics on a discrete n-dimensional digital manifold [PDF]
Heliyon, 2023 The definition and nature of information have perplexed scientists due to its dual nature in measurements. The information is discrete and continuous when evaluated on a metric scale, and the Laplace-Beltrami operator and Gauss-Bonnet Theorem can map one
Ahmet Koltuksuz +2 more
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Bootstrap bounds on closed hyperbolic manifolds
Journal of High Energy Physics, 2022 The eigenvalues of the Laplace-Beltrami operator and the integrals of products of eigenfunctions must satisfy certain consistency conditions on compact Riemannian manifolds.
James Bonifacio
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Laplace–Beltrami Operator on Digital Surfaces [PDF]
Journal of Mathematical Imaging and Vision, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Caissard, Thomas +3 more
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Statistical Properties of Eigenvalues of Laplace–Beltrami Operators [PDF]
Journal of Theoretical Probability, 2021 We study the eigenvalues of a Laplace-Beltrami operator defined on the set of the symmetric polynomials, where the eigenvalues are expressed in terms of partitions of integers. By assigning partitions with the restricted uniform measure, the restricted Jack measure, the uniform measure or the Plancherel measure, we prove that the global distribution of
Tiefeng Jiang, Ke Wang
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A graph discretization of the Laplace–Beltrami operator [PDF]
Journal of Spectral Theory, 2015 We show that eigenvalues and eigenfunctions of the Laplace–Beltrami operator on a Riemannian manifold are approximated by eigenvalues and eigenvectors of a (suitably weighted) graph Laplace operator of a proximity graph on an epsilon-net.
Burago, D, Ivanov, S, Kurylev, Y
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Laplace–Beltrami operators on noncommutative tori
Journal of Geometry and Physics, 2020 In this paper, we construct Laplace-Beltrami operators associated with arbitrary Riemannian metrics on noncommutative tori of any dimension. These operators enjoy the main properties of the Laplace-Beltrami operators on ordinary Riemannian manifolds. The construction takes into account the non-triviality of the group of modular automorphisms.
Ha, Hyunsu, Ponge, Raphaël
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Generalized Helical Hypersurface with Space-like Axis in Minkowski 5-Space
Universe, 2023 We introduce the generalized helical hypersurface having a space-like axis in five-dimensional Minkowski space. We compute the first and second fundamental form matrices, Gauss map, and shape operator matrix of the hypersurface.
Erhan Güler
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Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper we consider the Dirichlet problem for quasi-linear second-order elliptic equation with the $m(x)$-Laplacian and the strong nonlinearity on the right side in an unbounded cone-like domain.
Mikhail Borsuk, Damian Wiśniewski
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LORETA With Cortical Constraint: Choosing an Adequate Surface Laplacian Operator
Frontiers in Neuroscience, 2018 Low resolution electromagnetic tomography (LORETA) is a well-known method for the solution of the l2-based minimization problem for EEG/MEG source reconstruction. LORETA with a volume-based source space is widely used and much effort has been invested in
Todor Iordanov +7 more
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