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Kernel-based planning and imitation learning control for flow smoothing in mixed autonomy traffic
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Mean field limit for bosons with compact kernels interactions by Wigner measures transportation
We consider a class of many-body Hamiltonians composed of a free (kinetic) part and a multi-particle (potential) interaction with a compactness assumption on the latter part. We investigate the mean field limit of such quantum systems following the Wigner measures approach. We prove in particular the propagation of these measures along the flow of a nonlinear (Hartree) field equation. This enhances and complements some previous results of the same type shown in Z. Ammari and F. Nier and Fröhlich et al. [“Mean field limit for bosons and propagation of Wigner measures,” J. Math. Phys. 50(4), 042107 (2009); Z. Ammari and F. Nier and Fröhlich et al., “Mean field propagation of Wigner measures and BBGKY hierarchies for general bosonic states,” J. Math. Pures Appl. 95(6), 585–626 (2011); Z. Ammari and F. Nier and Fröhlich et al., “Mean-field- and classical limit of many-body Schrödinger dynamics for bosons,” Commun. Math. Phys. 271(3), 681–697 (2007)].
Research progress in structural and nutritional characterization and technologically processing impact on cool-season adapted oat and barley cereal kernels with wet chemistry and advanced vibrational molecular spectroscopy
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A meshless Galerkin method for non-local diffusion using localized kernel bases
Here, we introduce a meshless method for solving both continuous and discrete variational formulations of a volume constrained, nonlocal diffusion problem. We use the discrete solution to approximate the continuous solution. Our method is nonconforming and uses a localized Lagrange basis that is constructed out of radial basis functions. By verifying that certain inf-sup conditions hold, we demonstrate that both the continuous and discrete problems are well-posed, and also present numerical and theoretical results for the convergence behavior of the method. The stiffness matrix is assembled by a special quadrature routine unique to the localized basis. Combining the quadrature method with the localized basis produces a well-conditioned, symmetric matrix. This then is used to find the discretized solution.
Effective Wang-Teter kernels for improved orbital-free density functional theory simulations
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Accurate interatomic force fields via machine learning with covariant kernels
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Leading order, next-to-leading order, and nonperturbative parton collision kernels: Effects in static and evolving media
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Anisotropic hydrodynamics with a scalar collisional kernel
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Super heat kernel of general second order operators in N = 1 superspace and one-loop divergence of dilaton-coupled SYM theory
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Collins-Soper kernel for TMD evolution from lattice QCD
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Lattice QCD calculation of the Collins-Soper kernel from quasi-TMDPDFs
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Nonperturbative determination of the Collins-Soper kernel from quasitransverse-momentum-dependent wave functions
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