SL
Song-Hao Liu
math.PRLightphysics.opticsCatgutgold nanorodsLasersmath.STRaman spectroscopystat.THTomography, Optical Coherence
On Valency
published · living versionsW_xvzpt8y2·v1 · currentpublished
Three quantitative central limit theorems for the unbounded excursion component of a Gaussian field
with Yu Cheng, Qi-Man Shao, Jing-Yu Xu
1 version
W_5jgpz9fg·v1published
W_g2eusam5·v1published
Preprints & journals
72 papers in the corpus · 2003–2026Refined Cramér-type moderate deviations by Stein's method under dependence2610.29078v1 · Hui-Lin Liu, Song-Hao Liu, Dawei Lu2026 · 0 citationsarXivon Valency
Fluctuations of subgraph counts in exponential random graphs2610.28078v1 · Hui-Lin Liu, Song-Hao Liu, Dawei Lu2026 · 0 citationsarXiv
Normal approximation for total magnetization in subcritical long-range Ising models2610.22835v1 · Song-Hao Liu, Qi-Man Shao, Yang Xie et al.2026 · 0 citationsarXiv
Sharp Cramér-type moderate deviation bounds for the self-normalized maximum of partial sums2610.21975v1 · Song-Hao Liu, Qi-Man Shao, Hao Shi et al.2026 · 0 citationsarXiv
Mixing Time of Conditional Two Star Exponential Random Graphs2609.14335v1 · Xiao Fang, Song-Hao Liu, Xiaolin Wang2026 · 0 citationsarXiv
Berry-Esseen Bounds for the Number of Real Zeros of Gaussian Weyl Polynomials2609.12734v1 · Yuchen Wang, Dawei Lu, Song-Hao Liu2026 · 0 citationsarXivon Valency
The Central Limit Theorem and Berry--Esseen bound for logarithmic law of random determinants2609.11688v1 · Song-Hao Liu, Qi-Man Shao, Jing-Yu Xu2026 · 0 citationsarXiv
Critical-Window Fluctuations and Disorder Universality for the Sherrington--Kirkpatrick Model2609.07446v1 · Yu Cheng, Song-Hao Liu, Qi-Man Shao et al.2026 · 0 citationsarXiv
Conditional central limit theorems for exponential random graphs2506.15159v1 · Xiao Fang, Song-Hao Liu, Zhonggen Su et al.2025 · 0 citationsarXiv
Effect of Yak Skin Gelatin with Different Molecular Weights on the Properties of Gelatin/Polymethyl Vinyl Ether-alt-maleic-anhydride Copolymer Composite Scaffold Material.40124064 · Zhang, Yuxia, Liu, Songhao, Rong, Lin et al.2025 · 0 citationsACS omega. 2025;10(10):9938-9951
Research progress in the regulation of endothelial cells and smooth muscle cells using a micro-nanostructure.39849451 · Liu, Songhao, Yan, Juan, Gao, Mengyu et al.2025 · 4 citationsBiomedical engineering online. 2025;24(1):6
Normal approximation for exponential random graphs2404.01666v2 · Xiao Fang, Song-Hao Liu, Qi-Man Shao et al.2024 · 0 citationsarXiv
Symmetric KL-divergence by Stein's Method2401.11381v2 · Liu-Quan Yao, Song-Hao Liu2024 · 4 citationsarXiv
High-dimensional Central Limit Theorems by Stein's Method in the Degenerate Case2305.17365v1 · Xiao Fang, Yuta Koike, Song-Hao Liu et al.2023 · 0 citationsarXiv
Edgeworth Expansion by Stein's Method2211.04174v1 · Xiao Fang, Song-Hao Liu2022 · 1 citationarXiv
Cramér-type Moderate deviations under local dependence2112.10946v1 · Song-Hao Liu, Zhuo-Song Zhang2021 · 5 citationsarXiv
Cramér-type Moderate Deviation for Quadratic Forms with a Fast Rate2111.00679v1 · Xiao Fang, Song-Hao Liu, Qi-Man Shao2021 · 2 citationsarXiv
Nonvolatile, Reconfigurable and Narrowband Mid-Infrared Filter Based on Surface Lattice Resonance in Phase-Change Ge2Sb2Te5.33339400 · Shi, Xingzhe, Chen, Changshui, Liu, Songhao et al.2024 · 25 citationsNanomaterials (Basel, Switzerland). 2020;10(12)
Nonvolatile, reconfigurable and narrowband mid-infrared filter based on surface lattice resonance in phase-change GeSbTe2010.15018v1 · Xingzhe Shi, Changshui Chen, Songhao Liu et al.2020 · 0 citationsarXiv
On chip chirality-distinguishing beamsplitter.29041159 · Zhang, Fengchun, Liang, Yao, Zhang, Heran et al.2018 · 13 citationsOptics express. 2017;25(21):24861-24871
Encoding Random Hot Spots of a Volume Gold Nanorod Assembly for Ultralow Energy Memory.28714201 · Dai, Qiaofeng, Ouyang, Min, Yuan, Weiguang et al.2018 · 63 citationsAdvanced materials (Deerfield Beach, Fla.). 2017;29(35)
Development of graphene oxide-wrapped gold nanorods as robust nanoplatform for ultrafast near-infrared SERS bioimaging.28652737 · Qiu, Xuejun, You, Xinru, Chen, Xing et al.2017 · 34 citationsInternational journal of nanomedicine. 2017;12:4349-4360
Effect of Red Light-Emitting Diodes Irradiation on Hemoglobin for Potential Hypertension Treatment Based on Confocal Micro-Raman Spectroscopy.29109818 · Qiu, Xuejun, Huang, Hanchuan, Huang, Zhitong et al.2018 · 7 citationsScanning. 2017;2017:5067867
Optical gears in a nanophotonic directional coupler1611.07158v1 · Fengchun Zhang, Yao Liang, Heran Zhang et al.2016 · 4 citationsOptics Express 25.10 (2017): 10972-10983
Integratable quarter-wave plates enable one-way angular momentum conversion.27102332 · Liang, Yao, Zhang, Fengchun, Gu, Jiahua et al.2017 · 29 citationsScientific reports. 2016;6:24959
Study of molecule variations in human xanthelasma skin based on confocal micro-raman spectroscopy.25980673 · Qiu, Xuejun, Xiong, Ke, Ye, Xiangping et al.2016 · 0 citationsScanning. 2015;37(5):307-12
Characterization and noninvasive diagnosis of bladder cancer with serum surface enhanced Raman spectroscopy and genetic algorithms.25947114 · Li, Shaoxin, Li, Linfang, Zeng, Qiuyao et al.2016 · 113 citationsScientific reports. 2015;5:9582
[Piezoresistivity of ultra-thin poly-silicon layer by aluminum-induced layer exchange].25970916 · Wang, Cheng-long, Ma, Jun, Fan, Duo-wang et al.2015 · 0 citationsGuang pu xue yu guang pu fen xi = Guang pu. 2015;35(2):474-8
Rare earths exposure and male infertility: the injury mechanism study of rare earths on male mice and human sperm.25167826 · Chen, Jun, Xiao, Heng-Jun, Qi, Tao et al.2015 · 58 citationsEnvironmental science and pollution research international. 2015;22(3):2076-86
Redox-responsive biodegradable PEGylated nanographene oxide for efficiently chemo-photothermal therapy: a comparative study with non-biodegradable PEGylated nanographene oxide.24976623 · Xiong, Honglian, Guo, Zhouyi, Zhang, Wen et al.2015 · 29 citationsJournal of photochemistry and photobiology. B, Biology. 2014;138:191-201
Light propagation along the pericardium meridian at human wrist as evidenced by the optical experiment and Monte Carlo method.24862849 · Jiang, Yi-fan, Chen, Chang-shui, Liu, Xiao-mei et al.2016 · 2 citationsChinese journal of integrative medicine. 2015;21(4):254-8
Effect of Ren meridian acupoints moxibustion on light propagation along the pericardium meridian at human wrist.24862850 · Xiao, Zhi-Yan, Chen, Chang-Shui, Zhang, Yan et al.2024 · 1 citationChinese journal of integrative medicine. 2014
Confocal Raman micro-spectroscopy for rapid and label-free detection of maleic acid-induced variations in human sperm.24877025 · Li, Ning, Chen, Diling, Xu, Yan et al.2014 · 22 citationsBiomedical optics express. 2014;5(5):1690-9
MicroRNA124 regulate cell growth of prostate cancer cells by targeting iASPP.24966937 · Chen, Jun, Xiao, Hengjun, Huang, Zhansen et al.2015 · 20 citationsInternational journal of clinical and experimental pathology. 2014;7(5):2283-90
Protective effects of bajijiasu in a rat model of Aβ₂₅₋₃₅-induced neurotoxicity.24742752 · Chen, Di-Ling, Zhang, Peng, Lin, Li et al.2015 · 38 citationsJournal of ethnopharmacology. 2014;154(1):206-17
Confocal mirco-Raman spectroscopic analysis of the antioxidant protection mechanism of the oligosaccharides extracted from Morinda officinalis on human sperm DNA.24503037 · Chen, Di-Ling, Li, Ning, Lin, Li et al.2015 · 46 citationsJournal of ethnopharmacology. 2014;153(1):119-24
Method to detect the variants of the erythrocyte in a rat model of Aβ25-35-induced neurotoxicity based on micro-Raman spectroscopy.24247751 · Chen, Di-ling, Ning, Li, Li, Lin et al.2014 · 4 citationsJournal of biomedical optics. 2013;18(11):118003
[Quantization determination study of micro-Raman spectroscopy of methemoglobin induced by sodium nitrite].24059179 · Guo, Shi-Jun, Zeng, Chang-Chun, Li, Li-Jun et al.2015 · 1 citationGuang pu xue yu guang pu fen xi = Guang pu. 2013;33(7):1805-9
Protective effect of Bajijiasu against β-amyloid-induced neurotoxicity in PC12 cells.23812758 · Chen, Di-Ling, Zhang, Peng, Lin, Li et al.2014 · 41 citationsCellular and molecular neurobiology. 2013;33(6):837-50
[Raman spectroscopy study of the effect of H+ on the oxygen affinity capacity of hemoglobin].23905326 · Liu, Pei-Pei, Guan, Xiao-Yue, Zeng, Chang-Chun et al.2014 · 0 citationsGuang pu xue yu guang pu fen xi = Guang pu. 2013;33(5):1234-8
[Protective effect of oligosaccharides from Morinda officinalis on beta-amyloid-induced dementia rats].23944057 · Chen, Di-Ling, Zhang, Peng, Lin, Li et al.2013 · 7 citationsZhongguo Zhong yao za zhi = Zhongguo zhongyao zazhi = China journal of Chinese materia medica. 2013;38(9):1306-9
Study on the Fermi level of microstructured Silicon with impurities introduced by chalcogenides and their affect on solar cell efficiency1302.6018v1 · Huili He, Changshui Chen, Fang Wang et al.2013 · 0 citationsarXiv
Study of support vector machine and serum surface-enhanced Raman spectroscopy for noninvasive esophageal cancer detection.23389685 · Li, Shao-Xin, Zeng, Qiu-Yao, Li, Lin-Fang et al.2013 · 79 citationsJournal of biomedical optics. 2013;18(2):27008
Discrimination of dimethyl sulphoxide diffusion coefficient in the process of optical clearing by confocal micro-Raman spectroscopy.23416924 · Liu, Ping, Huang, Yanyue, Guo, Zhouyi et al.2013 · 28 citationsJournal of biomedical optics. 2013;18(2):20507
Characterization of passive optical components with ultra-fast speed and high-resolution based on DD-OFDM.23037357 · Guo, Banghong, Gui, Tao, Li, Zhaohui et al.2013 · 10 citationsOptics express. 2012;20(20):22079-86
[Effects of indocyanine green on near-infrared optical properties and optical coherence tomographic image of cerebral blood vessel in vivo in rats].23016321 · Wang, Cui-Ping, Zeng, Chang-Chun, Guan, Xiao-Yue et al.2015 · 1 citationGuang pu xue yu guang pu fen xi = Guang pu. 2012;32(7):1766-70
Highly luminescent near-infrared-emitting gold nanoclusters with further natural etching: photoluminescence and Hg2+ detection.22738180 · Lian, Shuhong, Hu, Dehong, Zeng, Changchun et al.2013 · 10 citationsNanoscale research letters. 2012;7(1):348
Quantitative measurement of optical attenuation coefficients of cell lines CNE1, CNE2, and NP69 using optical coherence tomography.22618158 · Li, Jianghua, Tu, Ziwei, Shen, Zhiyuan et al.2013 · 13 citationsLasers in medical science. 2013;28(2):621-5
A simple scheme for quantum networks based on orbital angular momentum states of photons1204.5832v1 · Zhi-Kun Su, Fa-Qiang Wang, Rui-Bo Jin et al.2012 · 17 citationsarXiv
Quantitative measurement of optical parameters of cell lines 5-8F and 6-10B using polarization sensitive optical coherence tomography.22525523 · Li, Jianghua, Chen, Bingling, Du, Yong et al.2012 · 2 citationsArchives of biochemistry and biophysics. 2012;522(2):125-9
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