Search Results - "Bao, Zhigang"
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1
Eigenvector distribution in the critical regime of BBP transition
Published in Probability theory and related fields (01-02-2022)“…In this paper, we study the random matrix model of Gaussian Unitary Ensemble (GUE) with fixed-rank (aka spiked) external source. We will focus on the critical…”
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2
Fabrication of the Flexible, Biocompatible, and Permeable Graphene/PLA Strain Sensor for Wearable Devices
Published in Fibers and polymers (01-05-2024)“…Real-time human motion monitoring is of importance particularly for patients after surgery, and wearable devices should be chemically inert, nontoxic, and…”
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3
On the support of the free additive convolution
Published in Journal d'analyse mathématique (Jerusalem) (01-11-2020)“…We consider the free additive convolution of two probability measures μ and ν on the real line and show that μ ⊞ v is supported on a single interval if μ and ν…”
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4
Effects of Mn–Zr substitution on the magnetic properties of Ba-ferrites fabricated by sol–gel auto-combustion
Published in Journal of sol-gel science and technology (01-08-2020)“…Polycrystalline samples of BaMn x Zr x Fe 11.5−2 × O 18.25 having different doping contents of Mn–Zr were fabricated and their magnetic properties investigated…”
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5
Equipartition principle for Wigner matrices
Published in Forum of mathematics. Sigma (2021)“…We prove that the energy of any eigenvector of a sum of several independent large Wigner matrices is equally distributed among these matrices with very high…”
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6
The effect of lubricant viscosity on the performance of full ceramic ball bearings
Published in Materials research express (01-01-2022)“…Abstract As a new high-end bearing product, full ceramic ball bearings are favoured in a variety. However, there have been few studies on the lubrication of…”
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7
Transport and thermoelectric properties of (Sr1−xEux)3Ti2O7
Published in Journal of materials science. Materials in electronics (01-02-2020)“…The transport and thermoelectric properties of polycrystalline bulk samples (Sr 1− x Eu x ) 3 Ti 2 O 7 with different Eu-doped contents x were investigated…”
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8
Asymptotic Mutual Information Statistics of MIMO Channels and CLT of Sample Covariance Matrices
Published in IEEE transactions on information theory (01-06-2015)“…In this paper, we consider the fluctuation of mutual information statistics of a multiple input multiple output channel communication systems without assuming…”
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9
Friction and wear characteristics of silicon nitride ceramics under dry friction condition
Published in Materials research express (01-03-2021)“…Abstract In order to reveal the friction properties and improve the wear resistance of silicon nitride ceramic materials, a calculation model of static…”
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10
Study on Distribution of Lubricating Oil Film in Contact Micro-Zone of Full Ceramic Ball Bearings and the Influence Mechanism on Service Performance
Published in Lubricants (01-08-2022)“…Compared with metal ball bearings, full ceramic ball bearings have more outstanding service performance under extreme working conditions. In order to reveal…”
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11
Room temperature synthesis and formation process of α-NaYF4 nanocubes
Published in Journal of materials science (2013)“…In this article, α-NaYF 4 nanocubes were synthesized with a simple and environmentally friendly method at room temperature. The structure and morphology of the…”
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Influence of SiO2 coating on morphology, phase and upconversion luminescence properties of NaYF4:Yb3+,Er3+ submicrocubes during annealing
Published in Journal of alloys and compounds (05-04-2014)“…•NaYF4:Yb3+,Er3+@SiO2 submicrocubes were synthesized using a modified Stöber procedure.•Silica shells protect NaYF4:Yb3+,Er3+ cores from aggregating and…”
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13
TRACY–WIDOM LIMIT FOR KENDALL’S TAU
Published in The Annals of statistics (01-12-2019)“…In this paper, we study a high-dimensional random matrix model from nonparametric statistics called the Kendall rank correlation matrix, which is a natural…”
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14
Thermal transport in S-shaped graphene nano-junctions
Published in Physica. E, Low-dimensional systems & nanostructures (01-09-2013)“…By using nonequilibrium Green's function method, we study the phonon transport properties in S-shaped graphene nano-junctions (GNJs). Interesting transmission…”
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15
Thermal transport in four-terminal graphene nano-junctions
Published in Physica. B, Condensed matter (01-11-2012)“…The thermal transport properties of four-terminal graphene nano-junctions (FGNJs) consisting of semi-infinite armchair-edged nanoribbon and zigzag-edged…”
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16
Quantitative CLT for linear eigenvalue statistics of Wigner matrices
Published in The Annals of applied probability (01-12-2023)“…In this article, we establish a near-optimal convergence rate for the CLT of linear eigenvalue statistics of N × N Wigner matrices, in Kolmogorov–Smirnov…”
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17
On Cramér–von Mises statistic for the spectral distribution of random matrices
Published in The Annals of applied probability (01-12-2022)“…Let FN and F be the empirical and limiting spectral distributions of an N×N Wigner matrix. The Cramér–von Mises (CvM) statistic is a classical goodness-of-fit…”
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18
Singular vector and singular subspace distribution for the matrix denoising model
Published in The Annals of statistics (01-02-2021)“…In this paper, we study the matrix denoising model Y = S + X, where S is a low rank deterministic signal matrix and X is a random noise matrix, and both are M…”
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CANONICAL CORRELATION COEFFICIENTS OF HIGH-DIMENSIONAL GAUSSIAN VECTORS: FINITE RANK CASE
Published in The Annals of statistics (01-02-2019)“…Consider a Gaussian vector z = (x′, y′)′, consisting of two sub-vectors x and y with dimensions p and q, respectively. With n independent observations of z, we…”
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20
Phase transition for the smallest eigenvalue of covariance matrices
Published in Probability theory and related fields (13-07-2024)“…Abstract In this paper, we study the smallest non-zero eigenvalue of the sample covariance matrices $$\mathcal {S}(Y)=YY^*$$ S ( Y ) = Y Y ∗ , where…”
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