4,445 research outputs found

    The consistency of estimator under fixed design regression model with NQD errors

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    In this article, basing on NQD samples, we investigate the fixed design nonparametric regression model, where the errors are pairwise NQD random errors, with fixed design points, and an unknown function. Nonparametric weighted estimator will be introduced and its consistency is studied. As special case, the consistency result for weighted kernel estimators of the model is obtained. This extends the earlier work on independent random and dependent random errors to NQD case

    Prediction of a missing higher charmonium around 4.26 GeV in J/ψJ/\psi family

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    Inspired by the similarity of mass gaps of J/ψJ/\psi and Υ\Upsilon families, the prediction of missing higher charmonium with mass 42634263 MeV and very narrow width is made. In addition, the properties of two charmonium-like states, X(3940)X(3940) and X(4160)X(4160), and charmonium ψ(4415)\psi(4415) are discussed. Here, X(3940)X(3940) as ηc(3S)\eta_c(3S) is established while the explanation of X(4160)X(4160) to be ηc(4S)\eta_c(4S) is fully excluded and ηc(4S)\eta_c(4S) is typically a very narrow state. These predictions can be accessible at BESIII, Belle and BelleII in near future.Comment: 5 pages, 5 figures and 1 table. More discussions added. Accepted by Eur. Phys. J.

    Signal Processing for Nondifferentiable Data Defined on Cantor Sets: A Local Fractional Fourier Series Approach

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    From the signal processing point of view, the nondifferentiable data defined on the Cantor sets are investigated in this paper. The local fractional Fourier series is used to process the signals, which are the local fractional continuous functions. Our results can be observed as significant extensions of the previously known results for the Fourier series in the framework of the local fractional calculus. Some examples are given to illustrate the efficiency and implementation of the present method

    Topological phase transition and nontrivial thermal Hall signatures in honeycomb lattice magnets

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    We investigate spinon band topology and engineering from the interplay between long-ranged magnetic order and fractionalized spinons, as well as Zeeman coupling under external magnetic fields, in honeycomb lattice magnets. The synergism of N\'eel order and magnetic fields could reconstruct the spinon bands and drive a topological phase transition from the coexisting phase of long-ranged order and chiral spin liquid with semion topological order to the conventional magnetic order. Our prediction can be immediately tested through thermal Hall transport measurements among the honeycomb lattice magnets that are tuned to be proximate to the quantum critical point. Our theory should also shed light on the critical behavior of honeycomb Kitaev materials with emergent Majorana fermion bands. We suggest a possible relevance to the spin-1/2 honeycomb spin liquid candidate material In3_3Cu2_2VO9_9.Comment: 6 figures, may submit to a domestic journal of China, paper explanation is found https://gangchengroup-physics.weebly.com/paper-explanation.htm
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