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Gaoping Long

As seen in: Wiley Online Library, Physical Review B
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Articles by Gaoping Long

Shannon Entropy of Gray Matter Eigenmodes: A Novel Biomarker for Alzheimer's Disease and Heterogeneous MCI Trajectories

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By Yumeng Li, Gaoping Long, Xinyue Zhang, Kewei Chen
| Wiley Online Library Verified
The Preprocessing Pipeline for Functional Neuroimaging Data Resting-state fMRI data were preprocessed using fMRIPrep (https://fmriprep.org/, V20.1.3), a Python-based automated tool integrating advanced neuroimaging packages like FSL, ANTs, FreeSurfer, and AFNI, designed for optimized fMRI preprocessing.[68] The procedure included head motion estimation, slice - timing correction, fMRI-to-T1w registration, fMRI-to-MNI152 standard - space normalization, confound estimation, and regression.
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Entanglement entropy of coherent intertwiner in loop quantum gravity

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By Gaoping Long, Optoelectronic Engineering, Qian Chen, Universite de Lyon
| Physical Review B
Figure 10 The numerical results of pj for j1=j2=j3=j4=20 and various θ→≡(θ1,θ2,θ3,θ4), φ→≡(φ1,φ2,φ3,φ4), where the x axis shows the recoupling spin j and the y axis shows the numerical value of pj. These figures show that pj has a peak near j=j0≡|j1n^1+j2n^2|, and this peak shrinks with the angle arccos(n^1·n^2) decreasing. (a) θ→=(π2,π2,7π16,9π16), φ→=(0,π8,π16,π16). (b) θ→=(π2,π2,3π8,5π8), φ→=(0,π4,π8,π8). (c) θ→=(π2,π2,π6,5π6), φ→=(0,2π3,π3,π3). (d) θ→=(π2,π2,π16,15π16), φ→=(0,7π8,7π16,7π16).
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Gauge reduction with respect to simplicity constraint in all dimensional loop quantum gravity

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By Beijing Normal, Xiangdong Zhang, Gaoping Long
| Physical Review B
Abstract In this paper, we discuss the gauge reduction with respect to the simplicity constraint in both classical and quantum theory of all dimensional loop quantum gravity. With the gauge reduction with respect to the edge-simplicity constraint being processed and the anomalous vertex simplicity constraint being imposed weakly in holonomy-flux phase space, the simplicity reduced holonomy can be established.
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