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hLife 2023年第2期1卷 63-70页

作者： George fu gao Jules A Hoffmann Chris Walzer Jiahai Lu Institute of Microbiology Chinese Academy of SciencesBeijingChina University of Strasbourg Institute for Advanced Study StrasbourgFrance Institute of Molecular and Cellular Biology CNRSInsect Models of Innate Immunity(M3IUPR9022)StrasbourgFrance Sino-French Hoffmann Institute School of Basic Medical ScienceGuangzhou Medical UniversityGuangdongChina Wildlife Conservation Society New YorkUSA University of Veterinary Medicine ViennaAustria Sun Yat-sen University GuangdongChina

Four heavyweight guests in the field of public health gathered ***-bel Laureate Jules A Hoffmann,Academician George fu gao,Professor Chris Walzer and Professor Jiahai Lu discussed how to deal with global public health crises,such as the recent coronavirus disease 2019(COVID-19)pandemic,as well as the role of international *** concept of“One Health”emerged as the latest approach to disease prevention and *** concept emphasizes the intertwined health of humans,animals and the *** experts shared their thoughts and insights on how humanity can address emerging global public health crises through international cooperation.

关键词： Academician prevention Chris

[Solid-phase extraction coupled with high performance liquid chromatography-triple quadrupole mass spectrometry for simultaneous determination of seven coumarins in water samples from drinking water treatment plants]

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Se pu = Chinese journal of chromatography 2025年第1期43卷 78-86页

作者： Wen-Mei Jiao Jing-Ming Yang Ce Xu fu-Kang gao Lu-Yao Shen Yu-Bo Yuan Zhi-Fen Guo Guang Huang School of Life Sciences and Chemical Engineering Jiangsu Second Normal University Nanjing 211200 China. School of Stomatology Nanjing Medical University Nanjing 210029 China. School of Public Health Nanjing Medical University Nanjing 211166 China. Key Laboratory of Modern Toxicology Ministry of Education School of Public Health Nanjing Medical University Nanjing 211166 China.

Chlorinated coumarins, which are as cytotoxic as highly toxic halobenzoquinones toward CHO-K1 cells, have recently been identified as disinfection byproducts in drinking water disinfection processes. Therefore, detecting coumarins in water samples collected at various stages from drinking water treatment plants helps assess the formation of chlorinated coumarins in drinking water. Hence, a simple, rapid, accurate, and sensitive method for quantifying coumarins in water samples is required. In this study, a method was developed based on solid-phase extraction coupled with high performance liquid chromatography-triple-quadrupole mass spectrometry for analyzing seven coumarins in water samples from drinking water treatment plants, including 6,7-dihydroxycoumarin, 7-hydroxycoumarin, 6-hydroxy-4-methylcoumarin, 8-chloro-7-hydroxycoumarin, coumarin, 7-chloro-6-hydroxy-4-methylcoumarin, and 3,8-dichloro-7-hydroxycoumarin. Sample pretreatment involved solid-phase extraction using HLB columns, followed by elution with water and methanol, each containing 0.25% formic acid. The extracted solution was separated via gradient elution using a Phenomenex Luna C18 column (100 mm×2.0 mm, 3 mm) with 0.1% formic acid aqueous solution and methanol as the mobile phases, with analytes detected by triple-quadrupole mass spectrometry equipped with electrospray ionization source in multiple reaction monitoring mode. The matrix effect, precision, and accuracy of the developed method were investigated using raw and treated water as matrices. Matrix effects of 0.84-1.12 were recorded for the detection of 6,7-dihydroxycoumarin, 7-hydroxycoumarin, 6-hydroxy-4-methylcoumarin, and coumarin in raw water, while values of 0.67-0.70 were recorded for 8-chloro-7-hydroxycoumarin, 7-chloro-6-hydroxy-4-methylcoumarin, and 3,8-dichloro-7-hydroxycoumarin in finished water. The three chlorinated coumarins exhibited matrix effects above 0.80 after the finished water matrix had been diluted four times. These re

关键词： coumarins disinfection byproducts drinking water high performance liquid chromatography-tandem mass spectrometry (HPLC-MS/MS) solid-phase extraction (SPE)

Laws of the Iterated Logarithm for Locally Square Integrable Martingales

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Acta Mathematica Sinica,English Series 2009年第2期25卷 209-222页

作者： fu Qing gao School of Mathematics and Statistics Wuhan University Wuhan 430072 P. R. China

Three types of laws of the iterated logarithm （LIL） for locally square integrable martingales with continuous parameter are considered by a discretization approach. By this approach, a lower bound of LIL and a numbe... 详细信息

关键词： locally square integrable martingales law of the iterated logarithm

Moderate Deviations for Random Sums of Heavy-Tailed Random Variables

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Acta Mathematica Sinica,English Series 2007年第8期23卷 1527-1536页

作者： fu Qing gao School of Mathematics and Statistics Wuhan University Wuhan 430072 P. R. China

Let {Xn;n≥ 1} be a sequence of independent non-negative random variables with common distribution function F having extended regularly varying tail and finite mean μ = E（X1） and let {N（t）; t ≥0} be a random process taking non-negative integer values with finite mean λ（t） = E（N（t）） and independent of {Xn; n ≥1}. In this paper, asymptotic expressions of P（（X1 ＋… ＋XN（t）） -λ（t）μ 〉 x） uniformly for x ∈[γb（t）, ∞） are obtained, where γ〉 0 and b（t） can be taken to be a positive function with limt→∞ b（t）/λ（t） = 0.

关键词： large deviations moderate deviations extended regular variation Poisson process

Precise Deviations for Discrete Ensembles

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Acta Mathematica Sinica,English Series 2023年第8期39卷 1580-1596页

作者： Wen Xuan CHEN fu Qing gao School of Mathematics and Statistics Wuhan UniversityWuhan 430072P.R.China

We consider precise deviations for discrete ***β=2 case,we first establish an asymptotic formula of the Christoffel–Darboux kernel of the discrete orthogonal polynomials on an infinite regular lattice with weight e^(−NV(x)).Then we use the asymptotic formula to get the precise deviations of the extreme value for corresponding ensemble.

关键词： Discrete ensemble precise deviation random growth model Riemann-Hilbert problem

A New H^2 Regularity Condition of the Solution to Dirichlet Problem of the Poisson Equation and Its Applications

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Acta Mathematica Sinica,English Series 2020年第1期36卷 21-39页

作者： fu Chang gao Ming Jun LAI Department of Mathematics University of IdahoMoscowID 83844 Department of Mathematics University of GeorgiaAthensGA 30602

We study the regularity of the solution of Dirichlet problem of Poisson equations over a bounded domain.A new sufficient condition,uniformly positive reach is *** the assumption that the closure of the underlying domain of interest has a uniformly positive reach,the H^2 regularity of the solution of the Poisson equation is *** particular,this includes all star-shaped domains whose closures are of positive reach,regardless if they are Lipschitz domains or non-Lipschitz *** to the strong solution to the second order elliptic PDE in non-divergence form and the regularity of Helmholtz equations will be presented to demonstrate the usefulness of the new regularity condition.

关键词： Regularity Poisson equations uniformly positive reach non-divergence form

Local functional Limit Theorems of Increments for Brownian Motion

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Acta Mathematica Sinica,English Series 2018年第7期34卷 1074-1086页

作者： fu Qing gao Yong Hong LIU School of Mathematics and Statistics Wuhan University Wuhan 430072 P. R. China Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation School of Mathematics and Computing Science Guilin University of Electronic Technology Guilin 541004 P. R. China

In this paper, we present a local Csorgo- Revesz type functional limit theorem for increments of Brownian motion and give its convergence rate. The results also extend the functional forms of Levy＇s modulus of contin... 详细信息

关键词： Keywords Brownian motion increment local functional limit rate of convergence large deviation small deviation

The Support of the Solution for Stochastic Differential Equations Driven by G-Brownian Motion

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Acta Mathematica Sinica,English Series 2012年第12期28卷 2417-2430页

作者： fu Qing gao Ming Zhou XU Department of Mathematics and Statistics Wuhan University

By a linear interpolation approximation method, we obtain a characterization of the support of the solution for stochastic differential equations driven by G-Brownian motion.

关键词： G-Brownian motion G-stochastic differential equation support theorem

Laws of the Iterated Logarithm for High-Dimensional Wiener Sausage

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Acta Mathematica Sinica,English Series 2011年第8期27卷 1599-1610页

作者： Yan Qing WANG fu Qing gao School of Mathematics and Statistics Wuhan University Wuhan 430072 P. R. China

Let {β（s）,s ≥ O} be the standard Brownian motion in R^d with d ≥ 4 and let ｜Wr（t）｜ be the volume of the Wiener sausage associated with {β（s）, s ≥ O} observed until time t. Prom the central limit theorem of Wiener sausage, we know that when d ≥ 4 the limit distribution is normal. In this paper, we study the laws of the iterated logarithm for ｜Wr（t）｜ - e｜Wr（t）｜ in this case.

关键词： Wiener sausage Kolmogorov's law of the iterated logarithm Chung's law of the iterated logarithm

Large Deviations and Moderate Deviations for Kernel Density Estimators of Directional Data

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Acta Mathematica Sinica,English Series 2010年第5期26卷 937-950页

作者： fu Qing gao Li Na LI School of Mathematics and Statistics Wuhan University Wuhan 430072 P. R. China Department of Mathematics Tongji University Shanghai 200092 P. R. China

Let fn be the non-parametric kernel density estimator of directional data based on a kernel function K and a sequence of independent and identically distributed random variables taking values in d-dimensional unit sphere Sd-1. It is proved that if the kernel function is a function with bounded variation and the density function f of the random variables is continuous, then large deviation principle and moderate deviation principle for {sup x∈sd-1 ｜fn（x） - E（fn（x））｜, n ≥ 1} hold.

关键词： kernel density estimator directional data moderate deviations large deviations