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Quenched moderate deviations principle for random walk in random environment

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Science china mathematics 2010年第8期53卷 1947-1956页

作者： HONG WenMing 1 & WANG HuaMing 1,2.1 Key Laboratory of mathematics and Complex Systems of Ministry of Education & School of Mathematical Sciences,beijing {2. university,beijing 100875,china 2.Department of Basic Courses,Business College,beijing Union university,beijing 10002.,china Key Laboratory of mathematics and Complex Systems of Ministry of Education & School of Mathematical Sciences Beijing Normal University Beijing China Department of Basic Courses Business College Beijing Union University Beijing China

We derive a quenched moderate deviations principle for the one-dimensional nearest random walk in random environment,where the environment is assumed to be stationary and *** approach is based on hitting time decompos... 详细信息

关键词： random walk in random environment moderate deviations principle hitting time

Protective Effects of Vitamin E against Oxidative Damage Induced by Aβ(1-40)Cu(Ⅱ)Complexes

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Acta Biochimica et Biophysica Sinica 2007年第2期39卷 123-130页

作者： Xueling DAI~1 Yaxuan SUN~2.and Zhaofeng JIANG~2.~1College of life Science,Capital {2. university,Bejing 100037,{2. ~2.ollege of Applied Sciences Humanities of beijing Union university,beijing 100083,{2. College of life Science Capital Normal UniversityBeijing 100037 China College of Applied Sciences and Humanities of beijing Union {2.beijing 100083 China

β-amyloid peptide （Aβ） is considered to be responsible for the formation of senile plaques,which is the hallmark of Alzheimer's disease （AD）.Oxidative stress,manifested by protein oxidation andlipid peroxidation,among other alterations,is a characteristic of AD brain.A growing body of evidence hasbeen presented in support of Aβ1-40forming an oligomeric complex that binds copper at a CuZn superoxidedismutase-like binding site. Aβ1-40Cu（Ⅱ） complexes generate neurotoxic hydrogen peroxide （H2.2. from O2.ia Cue+ reduction,though the precise reaction mechanism is *** toxicity of Aβ1-40or the Aβ1-40Cu（Ⅱ）complexes to cultured primary cortical neurons was partially attenuated when （+）-α-tocopherol （vitamin E）as free radical antioxidant was added at a concentration of 100 μ*** data derived from lactate dehydro-genase （LDH） release and the formation of H2.2.onfirmed the results from the MTT *** findingsindicate that copper binding to Aβ1-40can give rise to greater production of H2.2. which leads to a break-down in the integrity of the plasma membrane and subsequent neuronal *** treated with vitaminE exhibited much slighter damage,suggesting that vitamin E plays a key role in protecting neuronal cellsfrom dysfunction or death.

关键词： Aβ1-40Cu(II)complex vitamin E neuronal oxidative damage H2.2.generation lactate dehydrogenase(LDH)release

Moment bounds for IID sequences under sublinear expectations

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Science china mathematics 2011年第10期54卷 2155-2160页

作者： HU Feng1,2.1Department of mathematics,Qufu normal {2.,Qufu 2.3165,china 2.chool of mathematics,Shandong {2.,Jinan 2.0100,china Department of mathematics Qufu Normal University Qufu China School of mathematics Shandong University Jinan China

With the notion of independent identically distributed(IID) random variables under sublinear expectations introduced by Peng,we investigate moment bounds for IID sequences under sublinear expectations. We obtain a moment inequality for a sequence of IID random variables under sublinear expectations. As an application of this inequality,we get the following result:For any continuous functionsatisfying the growth condition |(x) | C(1 + |x|p) for some C > 0,p 1 depending on ,the central limit theorem under sublinear expectations obtained by Peng still holds.

关键词： moment bound sublinear expectation IID random variables G-normal distribution central limit theorem

Transcription Factors Ets2.and Sp1 Act Synergistically with Histone Acetyltrans-ferase p300 in Activating Human Interleukin-12.p40 Promoter

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Acta Biochimica et Biophysica Sinica 2006年第3期38卷 194-200页

作者： Hai-Jing SUN~(1,2. Xin XU~1 Xiu-li WANG~1 liang WEI~1 Fen li~1 Jun LU~1* Bai-Qu HUANG~11 Institute of Genetics and Cytology,Northeast normal university,Changchun 13002.,{2.2.6},beijing 100875,{2. Institute of Genetics and Cytology Northeast Normal UniversityChangchun 130024 China beijing normal {2. Beijing 100875 China

There has been considerable interest in researching the regulatory mechanisms that control thesynthesis of interleukin （IL）-12.which plays a central role in the differentiation of T-helper-1 *** thisstudy,we performed a series of transient transfection experiments designed to elucidate the functional rela-tionship between the IL-12.promoter-specific transcription factors （Ets2.and Sp1） and histone acetylationmodification in IL-12.regulation mediated by p300 and various histone deacetylases （HDACs）.Results pre-sented in this report demonstrated that the transcription factors Ets2.and Sp1 acted synergistically with p300to activate the human IL-12.*** histone acetyltransferase （HAT） activity of p300 was required forthis synergic effect,because the adenovirus E1A protein inhibited the ***,HDACs re-pressed the synergic effect of transcription factors and histone acetylation on the activation of IL-12.whilep300 was able to rectify *** data indicated that Ets2.and Sp1 worked concertedly and synergisticallywith p300 in the regulation of human IL-12.expression.

关键词： Ets2 Sp1 histone acetyltransferase p300 interleukin-12

Density functional study on enantioselective reduction of keto oxime ether with borane catalyzed by oxazaborolidine

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Science china Chemistry 2006年第4期49卷 296-307页

作者： li Ming1, ZHENG Wenxu2.& TIAN Anmin2.1. Department of Chemistry, Southwest-china {2. {2., Chongqing 400715, china 2. Department of Chemistry, Sichuan {2., Chengdu 610064, china Department of Chemistry Southwest-China Normal University Chongqing China Department of Chemistry Sichuan University Chengdu China

The enantioselective reduction of keto oxime ether with borane catalyzed by oxazaborolidine is discussed by the density functional theory (DFT) method. The main intermediates and transition states for this reaction are optimized completely at the B3LYP/6-31g(d) level, and the transition states are verified by vibrational modes. As shown, the chirality-controlled steps for this re- action are the hydride transfer from borane to carbonyl carbon and oxime carbon of keto oxime ether, and the chirality for the reduced products is determined in these two reaction steps. In all examined reaction paths, the first hydride is transferred via a six-membered ring and the second hydride via a five-membered ring or a four-membered ring.

关键词： keto oxime ether, oxazaborolidine, enantioselective reduction, DFT.

Boundary Nevanlinna-pick Interpolation for Meromorphic Functions

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Acta Mathematicae Applicatae Sinica 2002年第2期18卷 255-262页

作者： Gong-ning Chen, li-xin JiaDepartment of mathematics,{2., {2. 100875, china Electronic and Technology Institute, Zhengzhou 450004, china Department of mathematics Beijing Normal University Beijing China Electronic and Technology Institute Zhengzhou China

Versions of the multiple Nevanlinna-Pick interpolation problem in the class N involving both interior and boundary data are investigated. This leads to solvability criteria for the indicated problems and description o... 详细信息

关键词： Nevanlinna-pick interpolation generalized Pick matrix Hankel vector power moment problem minimally positive Hankel matrix

The generalized Roper-Suffridge extension operator in Banach spaces (Ⅲ)

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Science china mathematics 2009年第11期52卷 2432-2446页

作者： ZHU YuCan1 & liU MingSheng2.1 Department of mathematics,Fuzhou {2.,Fuzhou 350002.{2. 2.Department of mathematics,South china normal {2.,Guangzhou 510631,{2. Department of mathematics Fuzhou University Fuzhou China Department of mathematics South China Normal University Guangzhou China

Suppose that X is a complex Banach space with the norm ||·|| and n is a positive integer with dim X ≥n≥ 2. In this paper,we consider the generalized Roper-Suffridge extension operator Φn,β2.γ2....,βn+1,γn+1(f)... 详细信息

关键词： Roper-Suffridge extension operator biholomorphic starlike mapping almost spirallike mapping of type β and order α spirallike mapping of type β and order α

DISCRIMINANT ANALYSIS BASED ON STATISTICAL DEPTH

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Journal of Systems Science & Complexity 2010年第2期23卷 362-371页

作者： Jiao JIN·Hengjian CUI School of Mathematical Sciences,Key Laboratory of mathematics and Complex Systems,Ministry of Education, beijing normal university,{2. 100875,china. School of Mathematical Sciences Key Laboratory of Mathematics and Complex Systems Ministry of Education Beijing Normal University Beijing China

In the past two decades,many statistical depth functions seemed as powerful exploratoryand inferential tools for multivariate data analysis have been *** this paper,a new depthfunction family that meets four properties mentioned in Zuo and Serfling(2.00)is *** aclassification rule based on the depth function family is *** classification parameter b couldbe modified according to the type-Ⅰ error α,and the estimator of b has the consistency and achievesthe convergence rate n^(-1/2..With the help of the proper selection for depth family parameter c,theapproach for discriminant analysis could minimize the type-Ⅱ error β.A simulation study and a realdata example compare the performance of the different discriminant methods.

关键词： Depth discriminant analysis location parameter MVE scatter matrix.

Maxima with random indexes

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Chinese Science Bulletin 1997年第21期42卷 1767-1771页

作者： XIE ShengrongDepartment of mathematics, Southwest china {2. university, Chongqing 630715, china Department of mathematics Southwest China Normal University Chongqing China

LET {ξi} be a sequence of random variables and Mn = =V ξi, which connect asymptoticallysome regularly varying functions. Let {Nn} be a sequence of nonnegative integer-valued ran-dom variables. In this note the limit... 详细信息

关键词： regularly varying function maximum random index.