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Chemical Research in Chinese Universities 2024年第5期40卷 914-921页

作者： CAI Yuqing CUI Qingyan ZHANG Huanrong MA Xinlei XUE Mianqi School of Chemistry and Life Resources Renmin University of ChinaBeijing100872P.R.China Technical Institute of p.ysics and Chemistry Chinese Academy of ScienceBeijing100190P.R.China

Although glucose electrochemical sensors based on enzymes p.ay a dominant role in market,their stability remains a p.oblem due to the inherent nature of ***,glucose sensors that are indep.ndent on enzymes have attracted more attention for the develop.ent of stable detection *** we p.esent an enzyme-free glucose sensor based on Ni(OH)_(2)and reduced grap.ene oxide(rGO).The as-fabricated sensor still exhibits excellent electrocatalytic activity for detecting glucose under enzyme indep.ndent *** enhanced catalytic p.rformance may due to synergistic effect as follows:(i)the interaction between the Ni2+andπelectron of grap.ene induces the formation of theβ-p.ase Ni(OH)_(2)with higher catalytic activity;(ii)the frozen dr. p.ocess works as a secondary filtration,getting rid of p.orly formed Ni(OH)_(2)p.rticles with low catalytic activity;(iii)the rGO network with good conductivity p.ovides a good electronic p.thway for p.omoting electron transfer to reduce the resp.nse *** on the synergistic effect,the sensor exhibits a wide linear detection range from 0.2µmol/L to 1.0µmol/L and a low detection limit(0.1µmol/L,S/N=3).The excellent detection p.rformance,as well as the easy and low-cost p.ep.ration method,suggests the p.omising ap.licability of the sensor in the glucose detection market.

关键词： Glucose sensing Non-enzyme sensor Grap.ene 2D material Ni(OH)_(2)nanosheet

Top.logical Stability and Entrop. for Certain Set-valued Map.

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Acta Mathematica Sinica,English Series 2024年第4期40卷 962-984页

作者： Yu ZHANG Yu Jun ZHU School of Mathematical Sciences Xiamen UniversityXiamen 361005P.R.China

In this p.p.r,the dynamics(including shadowing p.op.rty,exp.nsiveness,top.logical stability and entrop.)of several typ.s of up.er semi-continuous set-valued map. are mainly considered from differentiable dynamical systems p.ints of *** is shown that(1)if f is a hyp.rbolic endomorp.ism then for eachε>0 there exists a C^(1)-neighborhood U of f such that the induced set-valued map.F_(f,U)has theε-shadowing p.op.rty,and moreover,if f is an exp.nding endomorp.ism then there exists a C^(1)-neighborhood U of f such that the induced set-valued map.F_(f,U)has the Lip.chitz shadowing p.op.rty;(2)when a set-valued map.F is generated by finite exp.nding endomorp.isms,it has the shadowing p.op.rty,and moreover,if the collection of the generators has no coincidence p.int then F is exp.nsive and hence is top.logically stable;(3)if f is an exp.nding endomorp.ism then for eachε>0 there exists a C^(1)-neighborhood U of f such that h(F_(f,U,ε))=h(f);(4)when F is generated by finite exp.nding endomorp.isms with no coincidence p.int,the entrop. formula of F is ***,the dynamics of the set-valued map. based on discontinuous map. on the interval are also considered.

关键词： Set-valued map orbit sp.ce hyp.rbolic endomorp.ism p.rturbation shadowing exp.nsiveness top.logical stability entrop.

First p.ssage Density of Brownian Motion with Two-sided p.ecewise Linear Boundaries

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Acta Mathematica Sinica,English Series 2024年第6期40卷 1505-1520页

作者： Zhen YU Mao Zai TIAN Center for Ap.lied Statistics School of StatisticsRenmin University of ChinaBeijing 100872P.R.China School of Mathematics and Data Science Changji UniversityChangji 831100P.R.China

The first p.ssage time has many ap.lications in fields like finance,econometrics,statistics,and ***,exp.icit formulas for the first p.ssage density have only been obtained for a few *** p.p.r derives an exp.icit formula for the first p.ssage density of Brownian motion with twosided p.ecewise continuous boundaries which may have some p.ints of *** are used to obtain a simp.ified formula for estimating the first p.ssage ***,the results are also generalized to the case of two-sided general nonlinear *** can be easily carried out with Monte Carlo method and it is demonstrated for several typ.cal two-sided boundaries that the p.op.sed ap.roximation method offers a highly accurate ap.roximation of first p.ssage density.

关键词： Boundary non-crossing p.obability first density p.ssage density two-sided p.ecewise continuous boundaries Brownian motion

On Affine Hyp.rsurfaces with p.rallel Cubic Form Relative to Affineα-connection

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Acta Mathematica Sinica,English Series 2024年第4期40卷 1099-1114页

作者： Ce Ce LI Cheng XING Hui Yang XU School of Mathematics and Statistics He’nan University of Science and TechnologyLuoyang 471023P.R.China School of Mathematical Sciences and Lp.C Nankai UniversityTianjin 300071P.R.China

Similar to Nomizu-p.nkall's geometric characterization of the Cayley surface and Hu-Li-Zhang's characterization of the Cayley hyp.rsurface,how can one characterize the generalized Cayley hyp.rsurfaces?In this p.p.r,by the affineα-connection of statistical manifolds,we study affine hyp.rsurfaces with p.rallel cubic form relative to the affineα-*** the main results,we comp.ete the classification of such hyp.rsurfaces if its affine metric is either definite,or Lorentzian withα≠-***,we give a new characterization of the generalized Cayley hyp.rsurfaces to answer the question.

关键词： Affine hyp.rsurface p.rallel cubic form affineα-connection Einstein metric

Secure symbol level p.ecoding for cell-free network based on band-region constraint of the eavesdr.p.er’s receiving signal

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High Technology Letters 2024年第3期30卷 304-309页

作者： LI Zewen JIN Yong FU Chunling p.NG Xin HU Zhentao School of Artifical Intelligence Henan UniversityZhengzhou 450000P.R.China School of p.ysics and Electronics Henan UniversityKaifeng 475000P.R.China

A symbol level secure p.ecoding scheme based on band-region constraint of the eavesdr.p.er’s receiving signal is p.op.sed to enhance the energy efficiency of cell-free multip.e-inp.t multip.e-outp.t(MIMO)networks in the p.esence of an eavesdr.p.er while guaranteeing the quality of service(QoS)of user and the security of ***,to lighten its high comp.tational comp.exity,original p.oblem is divided into several cascade sub-p.oblems firstly,and then those sub-p.oblems are handled by combining Lagrangian dual function and imp.oved Hooke-Jeeves method *** ex-p.riment with other secure symbol-level p.ecoding schemes demonstrate that p.op.sed scheme can achieve the lower p.wer consump.ion with almost same symbol error rate and QoS of user.

关键词： cell-free symbol-level p.ecoding(SLp. p.ysical layer security(p.S) multi-p.e-inp.t multip.e-outp.t(MIMO) band-region constraint

On Extension of Isometries Between the Unit Sp.eres of Normed Sp.ce E and l^p.p.1)

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Acta Mathematica Sinica,English Series 2009年第7期25卷 1139-1144页

作者： Ji Jin YI Rui Dong WANG School of Mathematics Liaocheng University Liaocheng 252059 P. R. China School of Mathematics Nankai University Tianjing 300071 P. R. China Dep.rtment of Mathematics Tianjin University of Technology Tianjin 300191 P. R. China

In this p.p.r, we study the extension of isometries between the unit sp.eres of normed sp.ce E and lp.p.〉 1）. We arrive at a conclusion that any surjective isometry between the unit sp.ere of normed sp.ce lp.p.〉 ... 详细信息

关键词： isometric map.ing isometric extension strictly convex

A Weighted Flow related to a Trudinger–Moser Functional on Closed Riemann Surface

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Acta Mathematica Sinica,English Series 2024年第9期40卷 2244-2262页

作者： p.ng Xiu YU School of Mathematics Renmin University of ChinaBeijing 100872P.R.China

In this p.p.r,with(Σ,g)being a closed Riemann surface,we analyze the p.ssible concentration behavior of a heat flow related to the Trudinger–Moser *** obtain a long time existence for the *** along some sequence of times t_(k)→+∞,we can deduce the convergence of the flow in H2(Σ).Furthermore,the limit function is a critical p.int of the Trudinger–Moser functional under certain constraint.

关键词： Trudinger-Moser inequality global convergence heat flow

Flocking of a Cucker–Smale Typ. Model with Comp.ctly Sup.orted Interaction Functions

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Acta Mathematica Sinica,English Series 2024年第9期40卷 2285-2296页

作者： Chun Yin JIN Shuang Zhi LI College of Science China Agricultural UniversityBeijing 100083P.R.China

How to analyze flocking behaviors of a multi-agent system with local interaction functions is a challenging p.oblem in *** and Tadmor in 2011 also stressed the significance to assume that the interaction function is rap.dly decaying or cut-off at a finite distance(*** and Tadmor in ***.2011).In this p.p.r,we study the flocking behavior of a Cucker–Smale typ. model with comp.ctly sup.orted interaction *** p.op.rties of a connected stochastic matrix,together with an elaborate analysis on p.rturbations of a linearized system,we obtain a sufficient condition imp.sed only on model p.rameters and initial data to guarantee ***,it is shown that the system achieves flocking at an exp.nential rate.

关键词： Cucker-Smale model local interaction flocking stochastic matrix neighbor grap.

Some Rotundities of Orlicz–Lorentz Sp.ces

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Acta Mathematica Sinica,English Series 2024年第8期40卷 1893-1919页

作者： Wan Zhong GONG p.ng WANG Dep.rtment of Mathematics Anhui Normal UniversityWuhu 241000P.R.China

K-UR,K-LUR and K-R are the generalizations of UR,LUR and R resp.ctively,which are of great significance in Banach sp.ce *** in Orlicz–Lorentz function sp.ceΛ_(ϕ,ω)^(◦)[0,γ)equip.ed with the Orlicz norm,the research methods of K-UR,K-LUR and K-R are much more comp.icated than those of UR,LUR and *** this p.p.r we obtain some criteria of K-UR,K-LUR and K-R ofΛ_(ϕ,ω)^(◦)[0,γ)by means of the norm of dual sp.ce and H_(μ)p.op.rty ofΛ_(ϕ,ω)^(◦)[0,γ).

关键词： Orlicz-Lorentz sp.ce Orlicz norm k-uniform rotundity locally k-uniform rotundity krotundity

Extending Structures for Gel'fand-Dorfman Bialgebras

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Acta Mathematica Sinica,English Series 2024年第2期40卷 619-638页

作者： Jia Jia WEN Yan Yong HONG School of Mathematics Hangzhou Normal UniversityHangzhou 311121P.R.China

Gel'fand-Dorfman bialgebra,which is both a Lie algebra and a Novikov algebra with some comp.tibility condition,ap.eared in the study of Hamiltonian p.irs in comp.etely integrable *** also emerged in the descrip.ion of a class sp.cial Lie conformal algebras called quadr.tic Lie conformal *** this p.p.r,we investigate the extending structures p.oblem for Gel'fand-Dorfman bialgebras,which is equivalent to some extending structures p.oblem of quadr.tic Lie conformal ***,given a Gel'fand-Dorfman bialgebra(A,o,[.,.]),this p.oblem is how to describe and classify all Gel'fand-Dorfman bialgebra structures on a vector sp.ce E(A⊂E)such that(A,o,[.,.])is a subalgebra of E up.to an isomorp.ism whose restriction on A is the identity *** by the theories of extending structures for Lie algebras and Novikov algebras,we construct an object gH2(V,A)to answer the extending structures p.oblem by introducing the notion of a unified p.oduct for Gel'fand-Dorfman bialgebras,where V is a comp.ement of A in *** p.rticular,we investigate the sp.cial case when dim(V)=1 in detail.

关键词： Gel'fand-Dorfman bialgebra Lie conformal algebra Extending structures p.oblem Novikovalgebra