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The Limit Theorems for Maxima of Stationary Gaussian Processes with Random Index

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Acta Mathematica Sinica,English Series 2014年第6期30卷 1021-1032页

作者： Zhong quan TAN College of Mathematics Physics and Information Engineering Jiaxing University

Let {X（t）, t ≥ 0} be a standard（zero-mean, unit-variance） stationary Gaussian process with correlation function r（·） and continuous sample paths. In this paper, we consider the maxima M（T） = max{X（t）, t∈ [0, T ]} with random index TT, where TT /T converges to a non-degenerate distribution or to a positive random variable in probability, and show that the limit distribution of M（TT） exists under some additional conditions related to the correlation function r（·）.

关键词： Limit theorem weak convergence maximum random index stationary Gaussian process

Maximal Regularity of Second Order Delay Equations in Banach Spaces

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Acta Mathematica Sinica,English Series 2009年第1期25卷 21-28页

作者： Shang quan BU Department of Mathematical Science Tsinghua University Beijing 100084 P. R. China

Using known Ca-multiplier result, we give necessary and sufficient conditions for the second order delay equations：u″（t）=Au（t）＋Fut＋Gu′＋f（t）,t∈Rto have maximal regularity in HSlder continuous function spaces C^α （R, X）, where X is a Banach space, A is a closed operator in X, F, G ∈L（C（[-r, 0], X）, X） are delay operators for some fixed r 〉 0.

关键词： maximal regularity delay equations Hoelder continuous functions C^α-multiplier

The Dissipative Quasi-geostrophic Equation in Weak Morrey Spaces

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Acta Mathematica Sinica,English Series 2008年第2期24卷 253-266页

作者： Bao quan YUAN School of Mathematics and Informatics He'nan Polytechnic University Jiaozuo 454000 P. R. China

The author studies the Cauchy problem of the dissipative quasi-geostrophic equation in weak Morrey spaces. The global well-posedness is established for any small initial data in the weak space Mp^＊,γ（R^n）, with 1... 详细信息

关键词： dissipative quasi-geostrophic equation weak Morrey spaces global well-posedness

Arithmetic Properties of Overpartition Triples

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Acta Mathematica Sinica,English Series 2017年第1期33卷 37-50页

作者： Liu quan WANG Department of Mathematics National University of Singapore Singapore 119076 Singapore

Let P-3 （n） be the number of overpartition triples of n. By elementary series manipulations, we establish some congruences for P-3（n） modulo small powers of 2, such as P-3（16n＋14）≡0 （mod 32）, P-3（8n＋7）≡0 （mod 64）.We also find many arithmetic properties for P-3（n） modulo 7, 9 and 11, involving the following infinite families of Ramanujan-type congruences： for any integers α≥1 and n ≥ 0, we have

关键词： Partitions overpartition triples congruences theta functions

Mechanism of action of Linggui Zhugan Decoction in treating non-alcoholic fatty liver disease using untargeted metabolomics approach

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Traditional Medicine Research 2025年第2期10卷 65-76页

作者： Huan Pei Ren-Lin Li Xin-Ran Song Qian-Qian Wan Yu-Ming Wang Han-Zhou Li Wei-quan Xu Jia-Bao Liao Wei-Bo Wen Jing Miao Huan-Tian Cui School of Basic Medicine Yunnan University of Chinese MedicineKunming 650599China School Clinical Medical College Yunnan University of Chinese MedicineKunming 650599China First School of Clinical Medicine Yunnan University of Chinese MedicineKunming 650599China School of Integrative Chinese and Western Medicine Tianjin University of Traditional Chinese MedicineTianjin 301617China Department of Pharmacy Tianjin Second People's HospitalTianjin 300192China

Background:Non-alcoholic fatty liver disease(NAFLD)is a liver disorder characterized by the accumulation and degeneration of fat in the liver cells,a condition that may further deteriorate and lead to cirrhosis and liver *** studies showed that metabolic dysfunction can promote NAFLD *** Zhugan Decoction(LGZGD)has therapeutic effects on *** mechanism of LGZGD still remains *** study was to examine the impact of LGZGD on the metabolic processes involved in the development of ***:A mice model of NAFLD was treated with *** therapeutic potential of LGZGD was evaluated by assessing the activity of transaminases,lipids levels of blood,and pathological changes in the liver of the mice model of ***,this study also evaluated the influence of LGZGD on liver inflammation and oxidative ***:The results of untargeted metabolomics analysis showed that LGZGD reduced the disordered lipid metabolism in NAFLD *** improved the oxidative stress and also reduced the levels of pro-inflammatory cytokines in the *** metabolomics analysis of liver samples revealed that LGZGD treatment improved metabolic disorders,including alanine,aspartate,glutamate,glycerophospholipid metabolism,and citrate *** RT-qPCR and Western blot results showed that LGZGD could regulate the expression of key enzymes in the metabolic pathway of the citrate cycle,including ATP-citrate lyase(ACLY),alanine-glyoxylate aminotransferase-2(AGXT2),phosphatidylethanolamine N-methyltransferase(PEMT),and succinate dehydrogenase(SDH).Conclusion:We found that LGZGD can treat NAFLD by reducing inflammatory responses,inhibiting oxidative stress,regulating alanine,aspartate,glutamate,and glycerophospholipid metabolism,and citrate cycle pathways.

关键词： NAFLD LGZGD untargeted metabolomics glycerophospholipid metabolism citrate cycle

Enantioselective reductive conjugate alkenylation of α,β-enones with keto alkenyl acetates by nickel catalysis

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Science China Chemistry 2025年第01期 157-162页

作者： Rong-De He Yun-Lei Luo Qiu-quan Pan Qi-Wei Yao Xing-Zhong Shu State Key Laboratory of Applied Organic Chemistry College of Chemistry and Chemical Engineering Lanzhou University

Reactions involving alkenyl acetates offer cost-effective and environmentally friendly routes for alkene synthesis, yet their asymmetric variant remains elusive. Concurrently, asymmetric conjugate alkenylation predominantly centered on nucleophilic addition using alkenyl–M. This manuscript presents an asymmetric reductive conjugate alkenylation reaction involving alkenyl acetates. The method facilitates the enantioselective addition of keto alkenyl groups to α,β-enones, resulting in the formation of unsaturated diketones—a class of useful structural motifs that are challenging to access otherwise. The use of electron-rich Pyroxy ligand is essential for achieving both high reaction efficiency and enantioselectivity.

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Plant and Yeast NHX Antiporters: Roles in Membrane Trafficking

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Journal of Integrative Plant Biology 2012年第2期54卷 66-72页

作者： quan-Sheng Qiu School of Life Sciences Lanzhou University222 South Tianshui Rd.Lanzhou 730000China

The plant NHX gene family encodes Na＋/H＋ antiporters which are crucial for salt tolerance, potassium homeostasis and cellular pH regulation. Understanding the role of NHX antiporters in membrane trafficking is becoming an increasingly interesting subject of study. Membrane trafficking is a central cellular process during which proteins, lipids and polysaccharides are continuously exchanged among membrane compartments. Yeast ScNhxlp, a prevacuole/ vacuolar Na＋/H＋ antiporter, plays an important role in regulating pH to control trafficking out of the endosome. Evidence begins to accumulate that plant NHX antiporters might function in regulating membrane trafficking in plants.

关键词： Na+(K+)/H+ antiporter membrane trafficking yeast Arabidopsis.

Average Sample-path Optimality for Continuous-time Markov Decision Processes in Polish Spaces

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Acta Mathematicae Applicatae Sinica 2011年第4期27卷 613-624页

作者： quan-xin ZHU Department of Mathematics Ningbo University Ningbo 315211 Zhejiang China

In this paper we study the average sample-path cost （ASPC） problem for continuous-time Markov decision processes in Polish spaces. To the best of our knowledge, this paper is a first attempt to study the ASPC criterion on continuous-time MDPs with Polish state and action spaces. The corresponding transition rates are allowed to be unbounded, and the cost rates may have neither upper nor lower bounds. Under some mild hypotheses, we prove the existence of （ε〉 0）-ASPC optimal stationary policies based on two different approaches： one is the ＂optimality equation＂ approach and the other is the ＂two optimality inequalities＂ approach.

关键词： continuous-time Markov decision process average sample-path optimality Polish space optimality equation optimality inequality

Kinetic Energy Budgets during the Rapid Intensification of Typhoon Rammasun (2014)

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Advances in Atmospheric Sciences 2023年第1期40卷 78-94页

作者： Xin quan Xiaofan LI Key Laboratory of Geoscience Big Data and Deep Resource of Zhejiang Province School of Earth SciencesZhejiang UniversityHangzhouZhejiang 310027China

In this study,Typhoon Rammasun(2014)was simulated using the Weather Research and Forecasting model to examine the kinetic energy during rapid intensification(RI).Budget analyses revealed that in the inner area of the typhoon,the conversion from symmetric divergent kinetic energy associated with the collocation of strong cyclonic circulation and inward flow led to an increase in the symmetric rotational kinetic energy in the lower *** increase in the symmetric rotational kinetic energy in the mid and upper troposphere resulted from the upward transport of symmetric rotational kinetic energy from the lower *** the outer area,both typhoon and Earth’s rotation played equally important roles in the conversion from symmetric divergent kinetic energy to symmetric rotational kinetic energy in the lower *** decrease in the symmetric rotational kinetic energy in the upper troposphere was caused by the conversion to asymmetric rotational kinetic energy through the collocation of symmetric tangential rotational winds and the radial advection of asymmetric tangential rotational winds by radial environmental winds.

关键词： Typhoon Rammasun(2014) rapid intensification kinetic energy budget symmetric and asymmetric winds divergent and rotational circulations environmental flows