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Defective Laplacians and paradoxical phenomena in crowd motion modeling
Comptes Rendus. Mécanique, 2023 In both continuous and discrete settings, Laplace operators appear quite commonly in the modeling of natural phenomena, in several context: diffusion, heat propagation, porous media, fluid flows through pipes, electricity....
Maury, Bertrand
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The Higher Spin Laplace Operator [PDF]
Potential Analysis, 2016 This paper deals with a certain class of second-order conformally invariant operators acting on functions taking values in particular (finite-dimensional) irreducible representations of the orthogonal group. These operators can be seen as a generalisation of the Laplace operator to higher spin as well as a second order analogue of the Rarita-Schwinger ...
Hendrik De Bie +2 more
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A graph discretization of the Laplace-Beltrami operator [PDF]
, 2014 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.Comment: 29 ...
Burago, Dmitri +2 more
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The formal Laplace-Borel transform of Fliess operators and the composition product
International Journal of Mathematics and Mathematical Sciences, 2006 The formal Laplace-Borel transform of an analytic integral operator, known as a Fliess operator, is defined and developed. Then, in conjunction with the composition product over formal power series, the formal Laplace-Borel transform is shown to provide ...
Yaqin Li, W. Steven Gray
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Derivations of the trigonometric BC(n) Sutherland model by quantum Hamiltonian reduction [PDF]
, 2010 The BC(n) Sutherland Hamiltonian with coupling constants parametrized by three arbitrary integers is derived by reductions of the Laplace operator of the group U(N). The reductions are obtained by applying the Laplace operator on spaces of certain vector
Feher, L., Pusztai, B. G.
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Problems with laplace operator on topological surfaces
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011 This work highlights the problems related to the Laplace operator on topological surfaces such as Mobius strip, Klein bottle and torus. In particular, we discuss oscillations on the surface of the Mobius strip, eigenfunctions and eigenvalues of the ...
Mikhail Y Shalaginov +2 more
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Open Mathematics, 2021 In this paper, we consider the maximal operator related to the Laplace-Bessel differential operator (BB-maximal operator) on Lp(⋅),γ(Rk,+n){L}_{p\left(\cdot ),\gamma }\left({{\mathbb{R}}}_{k,+}^{n}) variable exponent Lebesgue spaces.
Kaya Esra
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Quantum Bound States in Yang-Mills-Higgs Theory [PDF]
, 2018 We give rigorous proofs for the existence of infinitely many (non-BPS) bound states for two linear operators associated with the Yang-Mills-Higgs equations at vanishing Higgs self-coupling and for gauge group SU(2): the operator obtained by linearising ...
Boulton, Lyonell +2 more
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Laplace Operators in Gamma Analysis [PDF]
, 2016 Let $\mathbb K(\mathbb R^d)$ denote the cone of discrete Radon measures on $\mathbb R^d$. The gamma measure $\mathcal G$ is the probability measure on $\mathbb K(\mathbb R^d)$ which is a measure-valued L vy process with intensity measure $s^{-1}e^{-s}\,ds$ on $(0,\infty)$.
Hagedorn, D. +3 more
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Laplace and Hua Luogeng operators
Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020 We define holomorphic and pluri-harmonic functions in classical E. Cartan domains of the first type, and research Laplace and Hua Luogeng operators. We find a connection between these operators.
G. Khudayberganov +2 more
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