Results 11 to 20 of about 17,339 (265)
ESAIM: Mathematical Modelling and Numerical Analysis, 2021 In this work we introduce and study a nonlocal version of the PageRank. In our approach, the random walker explores the graph using longer excursions than just moving between neighboring nodes. As a result, the corresponding ranking of the nodes, which takes into account along-range interactionbetween them, does not exhibit concentration phenomena ...
Stefano Cipolla +2 more
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A Review of Local-to-Nonlocal Coupling Methods in Nonlocal Diffusion and Nonlocal Mechanics [PDF]
Journal of Peridynamics and Nonlocal Modeling, 2021 Local-to-Nonlocal (LtN) coupling refers to a class of methods aimed at combining nonlocal and local modeling descriptions of a given system into a unified coupled representation. This allows to consolidate the accuracy of nonlocal models with the computational expediency of their local counterparts, while often simultaneously removing additional ...
Marta D’Elia +4 more
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Physical Review Letters, 2007 We explore nonlocally modified models of gravity, inspired by quantum loop corrections, as a mechanism for explaining current cosmic acceleration. These theories enjoy two major advantages: they allow a delayed response to cosmic events, here the transition from radiation to matter dominance, and they avoid the usual level of fine tuning; instead ...
Deser, S., Woodard, R. P.
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Nonlocality is Transitive [PDF]
Physical Review Letters, 2011 We show a transitivity property of nonlocal correlations: There exist tripartite nonsignaling correlations of which the bipartite marginals between A and B as well as B and C are nonlocal and any tripartite nonsignaling system between A, B, and C consistent with them must be such that the bipartite marginal between A and C is also nonlocal.
Sandro Coretti +2 more
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Quasi-nonlocal Coupling of Nonlocal Diffusions [PDF]
SIAM Journal on Numerical Analysis, 2017 We developed a new self-adjoint, consistent, and stable coupling strategy for nonlocal diffusion models, inspired by the quasinonlocal atomistic-to-continuum method for crystalline solids. The proposed coupling model is coercive with respect to the energy norms induced by the nonlocal diffusion kernels as well as the $L^2$ norm, and it satisfies the ...
Xingjie Helen Li 0001, Jianfeng Lu 0001
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Communicative & Integrative Biology, 2020 We propose that the universe is nonlocal and that the appropriate worldview or paradigm for this understanding is nonlocal realism. Currently the worldview of local realism guides and frames the understanding and interpretations of science. Local realism was the worldview employed by Einstein in his relativity theories, but the principles of this ...
Andrew Lohrey, Bruce Boreham
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Nonlocality Without Nonlocality [PDF]
Foundations of Physics, 2009 15 pages, 9 figures (some color). Changes in version 2 include (1) a correction to the abstract: Bell's theorem is now said to demonstrate the impossibility of a local hidden variable theory, (2) the "non-spacelike" initial value problem is now the "mixed" initial value problem, (3)the figures should reproduce more clearly.
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Nonlocal Neural Networks, Nonlocal Diffusion and Nonlocal Modeling
CoRR, 2018 Nonlocal neural networks have been proposed and shown to be effective in several computer vision tasks, where the nonlocal operations can directly capture long-range dependencies in the feature space. In this paper, we study the nature of diffusion and damping effect of nonlocal networks by doing spectrum analysis on the weight matrices of the well ...
Yunzhe Tao +3 more
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Minimizers of nonlocal polyconvex energies in nonlocal hyperelasticity
Advances in Calculus of Variations, 2023 Abstract We develop a theory of existence of minimizers of energy functionals in vectorial problems based on a nonlocal gradient under Dirichlet boundary conditions. The model shares many features with the peridynamics model and is also applicable to nonlocal solid mechanics, especially nonlinear elasticity.
José C. Bellido +2 more
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Quantifying Multipartite Nonlocality [PDF]
Physical Review Letters, 2009 4 pages, 3 figures.
Bancal, Jean Daniel +3 more
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