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Acta Mathematica Sinica,English Series 2024年第8期40卷 1850-1874页

作者： Chun Mao HUANG Rui ZHANG Zhi Qiang GAO Dep.rtment of Mathematics Harbin Institute of Technology(Weihai)Weihai 264209P.R.China School of Mathematical Sciences Beijing Normal UniversityBeijing 100875P.R.China

Let(Zn)be a sup.rcritical branching p.ocess with immigration in an indep.ndent and identically distributed random *** necessary moment conditions,we show the exact convergence rate in the central limit theorem on log Zn and establish the corresp.nding local limit theorem by using the moments of the natural submartingale and the convergence rates of its *** similar ap.roach and with the help.of a change of measure,we also p.esent the so-called integrolocal theorem and integral large deviation theorem to characterize the p.ecise asymp.otics of the up.er large deviations.

关键词： Branching p.ocess with immigration random environment central limit theorem large deviation

Uniqueness p.oblem for the Back.ard Differential Equation of a Continuous-State Branching p.ocess

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Acta Mathematica Sinica,English Series 2024年第8期40卷 1825-1836页

作者： p.i Sen LI Zeng Hu LI School of Mathematics and Statistics Beijing Institute of TechnologyBeijing 100872P.R.China School of Mathematical Sciences Beijing Normal UniversityBeijing 100875P.R.China

The distributional p.op.rties of a multi-dimensional continuous-state branching p.ocess are determined by its cumulant semigroup.which is defined by the back.ard differential *** p.ovide a p.oof of the assertion of Rhyzhov and Sk.rok.od(Theory ***.,1970)on the uniqueness of the solutions to the equation,which is based on a characterization of the p.ocess as the p.thwise unique solution to a system of stochastic equations.

关键词： Continuous-state branching p.ocess multi-dimensional back.ard differential equation stochastic equation generator

Sp.celik. Framed Curves with Lightlik. Comp.nents and Singularities of Their Evolutes and Focal Surfaces in Mink.wsk. 3-sp.ce

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Acta Mathematica Sinica,English Series 2024年第6期40卷 1521-1532页

作者： p.ng Cheng LI Dong He p.I Xin ZHAO School of Mathematics and Statistics Northeast Normal UniversityChangchun 130024P.R.China Dep.rtment of Mathematics Harbin Institute of TechnologyWeihai 264209P.R.China School of Mathematics and Statistics Qingdao UniversityQingdao 266071P.R.China

In this p.p.r,we define the evolute and focal surface of a sp.celik. framed curve with lightlik. comp.nents in Mink.wsk. *** is a generalization of the p.evious results of regular sp.celik. curves,since singularities are allowed in the original sp.celik. curves studied by sp.celik. framed curves with lightlik. ***,we show a new geometric invariant to characterise singularities of the focal ***,the classification theorem and recognition theorem for the singularities of the focal surface in generic are also given.

关键词： Evolutes focal surfaces sp.celik. framed curves singularities

Ap.lication of p.ant DNA metabarcoding of lak. sediments for monitoring vegetation comp.sitions on the Tibetan p.ateau

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Science China Earth Sciences 2024年第11期67卷 3594-3609页

作者： k.i WU k.i LI Weihan JIA k.thleen R.STOOF-LEICHSENRING Ulrik. HERZSCHUH Jian NI Mengna LIAO Fang TIAN College of Life Sciences Zhejiang Normal University p.lar Terrestrial Environmental Systems Research Group Alfred Wegener Institute Helmholtz Centre for Polar and Marine Research institute of Environmental Science and Geograp.y University of Potsdam institute of Biochemistry and Biology University of Potsdam College of Resource Environment and Tourism Capital Normal University

Benefiting from the rap.d develop.ent of environmental DNA(eDNA) technologies, sedimentary DNA(sedDNA)emerges as a p.omising tool for monitoring p.ant comp.sitions in remote regions. The Tibetan p.ateau(Tp., renowned for its harsh environment and numerous p.nds and lak.s, p.esents a p.tentially demanding region for the ap.lication of sedDNA on vegetation investigations. Here, we used the g and h universal p.imers for the p. loop.region of the chlorop.ast trn L(UAA)intron to amp.ify p.ant DNA in surface sediments from 59 p.nds and small lak.s on the southwestern Tp. The ap.licability and limitations of using p.ant DNA metabarcoding for modern vegetation monitoring and p.laeo-vegetation reconstructions have been assessed by comp.ring sedDNA, p.llen, and vegetation survey data. Our results showed that p.ant DNA metabarcoding recorded 186 terrestrial taxa, of which 30.1% can be identified at the sp.cies level. The p.ant sedDNA ap.roach can effectively disclose the dominant p.ant taxa(including Asteraceae, Cyp.raceae and p.aceae) and significant vegetation assemblages in the vicinity of the investigated sites. The number of taxa and taxonomic resolution of p.ant sedDNA exceeded that of p.llen analysis(75 taxa detected, 5.3% can be identified at sp.cies level). Unlik. p.llen that retains a broad sp.ctrum of regional p.ant signals(including p.nus and Artemisia), p.ant sedDNA mirrors very local p.ants, underscoring its utility in local vegetation monitoring and reconstructions. To conclude, p.ant DNA metabarcoding of(small) lak. sediments warrant increased attention in the future for local vegetation monitoring and reconstructions on the Tp.

关键词： Sedimentary DNA (sedDNA) Metabarcoding p.llen Vegetation comp.sition Tibetan p.ateau

Centroid Hom-associative Algebras and Centroid Hom-Lie Algebras

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Acta Mathematica Sinica,English Series 2024年第4期40卷 935-961页

作者： Yu Xiu BAI Leonid A.BOk.T Yu Qun CHEN Ze Rui ZHANG Dep.rtment of Mathematics Teaching Guangzhou Civil Aviation CollegeGuangzhou 510403P.R.China Sobolev institute of Mathematics Novosibirsk 630090Russia Novosibirsk.State University Novosibirsk 630090Russia School of Mathematical Sciences South China Normal UniversityGuangzhou 510631P.R.China

In this article,we construct free centroid hom-associative algebras and free centroid hom-Lie *** also construct some other relatively free centroid hom-associative algebras by ap.lying the Gr?bner-Shirshov basis theory for(unital)centroid hom-associative ***,we p.ove that the"p.incaré-Birk.off-Witt theorem"holds for certain typ. of centroid hom-Lie algebras over a field of characteristic 0,namely,every centroid hom-Lie algebra such that the eigenvectors of the map.linearly generates the whole algebra can be embedded into its universal envelop.ng centroid hom-associative algebra,and the linear basis of the universal envelop.ng algebra does not dep.nd on the multip.ication table of the centroid hom-Lie algebra under consideration.

关键词： Centroid hom-Lie algebra centroid hom-associative algebra Gr?bner-Shirshov basis

Divergent contributions of sp.ing and autumn p.otosynthetic p.enology to seasonal carbon up.ak. of subtrop.cal vegetation in China

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Journal of Geograp.ical Sciences 2024年第7期34卷 1280-1296页

作者： p.NG Ying LI p.ng ZHOU Xiaolu LUO Yunp.ng ZHANG Cicheng WANG Longjun LI Tong p.NG Changhui School of Geograp.ic Sciences Hunan Normal UniversityChangsha410081China Dep.rtment for Biogeochemical Integration Max-Planck-Institute for BiogeochemistryJena07745Germany Dep.rtment of Biology Sciences Institute of Environment SciencesUniversity of Quebec at MontrealC.P.8888Succ.Centre-VilleMontrealH3C 3P8Canada

p.enological changes p.ay a central role in regulating seasonal variation in the ecological p.ocesses,exerting significant imp.cts on hydrologic and nutrient cycles,and ultimately influencing ecosystem functioning such as carbon ***,the p.tential imp.ct mechanisms of p.enological events on seasonal carbon dynamics in subtrop.cal regions are *** k.owledge gap. hinder from accurately link.ng p.otosynthetic p.enology and carbon sequestration *** chlorop.yll fluorescence remote sensing and p.oductivity data from 2000 to 2019,we found that an advancement in sp.ing p.enology increased sp.ing gross(Gp.)and net p.imary p.oductivity(Np.)in subtrop.cal vegetation of China by 2.1 gC m^(-2)yr^(-1)and 1.4 gC m^(-2)yr^(-1),resp.ctively.A delay in autumn p.enology increased the autumnal Gp. and Np. by 0.4 gC m^(-2)yr^(-1)and 0.2 gC m^(-2)yr^(-1),***,the contribution of the sp.ing p.enology to sp.ing carbon up.ak. increased significantly during the study p.riod,while this p.sitive contribution showed a nonsignificant trend in *** comp.rison,the later autumn p.enology could significantly contribute to the increase in autumnal carbon up.ak.;however,this contributing effect was *** analysis indicated that these p.enomena have been caused by the increased leaf area and enhanced p.otosynthesis due to earlier sp.ing and later autumn p.enology,*** results demonstrate the diverse imp.cts of vegetation p.enology on the seasonal carbon sequestration ability and it is imp.rative to consider such asymmetric effects when modeling ecosystem p.ocesses p.rameterized under future climate change.

关键词： subtrop.cs vegetation p.enology remote sensing carbon cycle climate change

Fluorescent p.obes for Cysteine and Cysteine Oxidation Imaging

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Chemical Research in Chinese Universities 2024年第2期40卷 225-236页

作者： ZHANG Xia LI Guocheng p.N Wei LI Na LI Yanhua TANG Bo College of Chemistry Chemical Engineering and Materials ScienceKey Laboratory of Molecular and Nano ProbesMinistry of EducationCollaborative Innovation Center of Functionalized Probes for Chemical Imaging in Universities of ShandongInstitute of Molecular and Nano ScienceShandong Normal UniversityJinan250014P.R.China Laoshan Laboratory Qingdao266237P.R.China

Cysteine is an imp.rtant regulator of redox *** to the nucleop.ilic and oxidative sensitivity,cysteine residues in p.oteins can be oxidized by intracellular reactive oxygen sp.cies(ROS),which can lead to p.otein structural and functional ***,the develop.ent of fluorescent p.obes to image cysteine and cysteine oxidation is of great significance for the study of redox homeostasis in living *** this review,the develop.ent of fluorescent p.obes for imaging cysteine and cysteine oxidation was ***,we further analyzed defects of the rep.rted fluorescent p.obes and made suggestions for the future develop.ent of fluorescent *** exp.ct that this review can not only p.ovide a deep.r understanding of the role of cysteine and cysteine oxidation in oxidative stress,but also broaden the ap.lication of fluorescent p.obes in imaging cysteine and cysteine oxidation.

关键词： Cysteine Cysteine oxidation Fluorescent p.obe Oxidative stress

A p.ssible p.obe to neutron-sk.n thick.ess by fragment p.rallel momentum distribution in p.ojectile fragmentation reactions

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Nuclear Science and Techniques 2024年第6期35卷 114-119页

作者： Chun-Wang Ma Yi-Jie Duan Ya-Fei Guo Chun-Yuan Qiao Yu-Ting Wang Jie p. k.i-Xuan Cheng Hui-Ling Wei College of p.ysics Henan Normal UniversityXinxiang 453007China institute of Nuclear Science and Technology Henan Academy of SciencesZhengzhou 450015China

Neutron-sk.n thick.ess is a k.y p.rameter for a neutron-rich nucleus;however,it is difficult to *** the framework.of the Lanzhou Quantum Molecular Dynamics(LQMD)model,a p.ssible p.obe for the neutron-sk.n thick.ess(δ_(np.)of neutron-rich ^(48)Ca was studied in the 140A MeV ^(48)Ca+^(9)Be p.ojectile fragmentation reaction based on the p.rallel momentum distribution(p.)of the residual fragments.A Fermi-typ. density distribution was emp.oyed to initiate the neutron density distributions in the LQMD simulations.A combined Gaussian function with different width p.rameters for the left side(Γ_(L))and the right side(Γ_(R))in the distribution was used to describe the p.of the residual *** neutron-rich sulfur isotop.s as examp.es,Γ_(L) shows a sensitive correlation withδ_(np. of ^(48)Ca,and is p.op.sed as a p.obe for determining the neutron sk.n thick.ess of the p.ojectile nucleus.

关键词： Neutron-sk.n thick.ess p.ojectile fragmentation p.rallel momentum distribution Neutron-rich nucleus Quantum molecular dynamics model

p.oducts of Commutator Ideals of Some Lie-admissible Algebras

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Acta Mathematica Sinica,English Series 2024年第8期40卷 1875-1892页

作者： Ivan k.YGORODOV Faruk. MASHUROV Tran Giang NAM Ze Rui ZHANG CMA-UBI Universidade da Beira InteriorCovilhaPortugal Shenzhen International Center for Mathematics(SICM) Southern University of Science and TechnologyShenzhen 518055P.R.China institute of Mathematics VAST18 Hoang Quoc VietCau GiayHanoiVietnam School of Mathematical Sciences South China Normal UniversityGuangzhou 510631P.R.China

In this article,we mainly study the p.oducts of commutator ideals of Lie-admissible algebras such as Novik.v algebras,bicommutative algebras,and assosymmetric *** p.ecisely,we first study the p.op.rties of the lower central chains for Novik.v algebras and bicommutative *** we show that for every Lie nilp.tent Novik.v algebra or Lie nilp.tent bicommutative algebra A,the ideal of A generated by the set{ab−ba|a,b∈A}is ***,we study p.op.rties of the lower central chains for assosymmetric algebras,study the p.oducts of commutator ideals of assosymmetric algebras and show that the p.oducts of commutator ideals have a similar p.op.rty as that for associative algebras.

关键词： Novik.v algebra bicommutative algebra assosymmetric algebra Lie nilp.tent algebra

CO_(2)/NOx-involved Electrochemical C-N Coup.ing Reactions

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Chemical Research in Chinese Universities 2024年第5期40卷 764-775页

作者： SUI Xiqing WU Limin JIA Shunhan JIN Xiangyuan SUN Xiaofu HAN Buxing Beijing National Laboratory for Molecular Sciences Key Laboratory of Colloid and Interface and ThermodynamicsCenter for Carbon Neutral ChemistryInstitute of ChemistryChinese Academy of SciencesBeijing100190P.R.China School of Chemical Sciences University of Chinese Academy of SciencesBeijing100049P.R.China Shanghai k.y Laboratory of Green Chemistry and Chemical p.ocesses School of Chemistry and Molecular EngineeringEast China Normal UniversityShanghai200062P.R.China

With the excessive use of fossil fuels leading to significant CO_(2)emissions,and the continuous increase of NOx in water bodies and soils,the use of electrochemical methods for the conversion of CO_(2)and NOx has garnered widesp.ead attention as a green chemical ap.roach due to its advantages of being environmentally friendly,low-carbon,and straightforward.C—N bonds are widely p.esent in many value-added chemicals,such as urea,amides,and ***,traditional methods for constructing C—N bonds typ.cally involve thermochemical ***,using electrochemical methods to catalyze the reduction of CO_(2)and NOx for C—N bond formation has emerged as a green and sustainable *** p.p.r summarizes the research p.ogress of electrochemical C—N bond construction involving CO_(2)and NOx from the p.rsp.ctives of reaction mechanisms and catalytic system construction,reviews the electrochemical synthesis of urea,amines,amides,and oximes through electrochemical C—N bond construction,and finally analyzes the current p.oblems and challenges in the field,p.oviding p.osp.cts for its future develop.ent.

关键词： CO_(2)reduction NOx reduction C-N coup.ing Electrocatalysis