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A general type of twisted anomaly cancellation formulas

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Science China mathematics 2010年第7期53卷 1684-1695页

作者： WANG Yong school of mathematics and statistics, northeast normal university, Changchun 130024, China school of mathematics and statistics Northeast Normal University Changchun China

For even-dimensional manifolds, we prove some twisted anomaly cancellation formulas which generalize some well-known cancellation formulas. For odd dimensional manifolds, we obtain some modularly invariant characteris... 详细信息

关键词： modular invariance transgression cancellation formulas

EQUIVARIANT HEAT INVARIANTS OF THE LAPLACIAN AND NONMININMAL OPERATORS ON DIFFERENTIAL FORMS

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Acta Mathematica Scientia 2011年第3期31卷 805-814页

作者：王勇 school of mathematics and statistics northeast normal university

In this paper,we compute the first two equivariant heat kernel coeffcients of the Bochner Laplacian on differential *** first two equivariant heat kernel coeffcients of the Bochner Laplacian with torsion are also *** also study the equivariant heat kernel coeffcients of nonminimal operators on differential forms and get the equivariant Gilkey-Branson-Fulling formula.

关键词： equivariant heat kernel asymptotics Bochner Laplacian nonmininmal operators Gilkey-Branson-Fulling formula

Global Existence of Classical Solutions for Some Oldroyd-B Model via the Incompressible Limit

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Chinese Annals of mathematics,Series B 2006年第5期27卷 565-580页

作者： Zhen LEI school of Mathematical Sciences, Fudan university, Shanghai 200433, China school of mathematics and statistics, northeast normal university, Changchun 130024, China. school of Mathematical Sciences Fudan University Shanghai 200433 China school of mathematics and statistics Northeast Normal University Changchun 130024 China

在这篇论文，我们证明本地；有关经由不可压缩的限制的 Oldroyd-B 类型的不可压缩的粘弹性的液体的方程的一个系统的古典解决方案的全球存在当起始的数据是足够地小的时。

关键词：不可压缩极限整体存在性 Oldroyd模型经典解

Infinite-dimensional Hamiltonian Lie superalgebras

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Science China mathematics 2010年第6期53卷 1625-1634页

作者： MU Qiang1,2 & ZHANG YongZheng1,1school of mathematics and statistics,northeast normal university,Changchun 130024,China 2school of mathematics,Harbin normal university,Harbin 150025,China school of mathematics and statistics Northeast Normal University Changchun China school of mathematics Harbin Normal University Harbin China

The natural filtration of the infinite-dimensional Hamiltonian Lie superalgebra over a field of positive characteristic is proved to be invariant under automorphisms by characterizing ad-nilpotent *** are thereby able to obtain an intrinsic characterization of the Hamiltonian Lie superalgebra and establish a property of the automorphisms of the Lie superalgebra.

关键词： Hamiltonian superalgebra filtration automorphism

The restricted EM algorithm under linear inequalities in a linear model with missing data

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Science China mathematics 2005年第6期48卷 819-828页

作者： ZHENG Shurong, SHI Ningzhong & GUO Jianhua school of mathematics and statistics, northeast normal university, Changchun 130024, China Institute of mathematics, Jilin university, Changchun 130012, China school of mathematics and statistics Northeast Normal University Changchun China Institute of mathematics Jilin University Changchun China

This paper discusses the maximum likelihood estimate of β under linear inequalities A0β≥ a in a linear model with missing data, proposes the restricted EM algo rithm and proves the convergence.

关键词： EM algorithm, linear model, maximum likelihood estimate, missing data.

OPTIMAL CONTROL OF MULTISOLUTION ORDINARY DIFFERENTIAL EQUATIONS IN THE ABSENCE OF CONVEXITY

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Journal of Systems Science & Complexity 2010年第2期23卷 321-333页

作者： Shu LUAN Hang GAO school of mathematics and Computation Science Zhanjiang Normal College Zhanjiang 524048 China. school of mathematics and statistics Northeast Normal University Changchun 130024 China.

In this paper,the authors study an optimal control problem governed by a class of multistateordinary differential equations in the absence of *** overcome the difficulty that thecorresponding approximate optimal control problem may have no solution,relaxed controls are *** the help of relaxation theory,Pontryagin's maximum principle for the optimal pairs ofthe original control problem is *** the end of this paper,the authors discuss the applicationof the maximum principle by an example.

关键词：最优控制问题常微分方程多尺度作者高原凸性

Criteria for Regularity of Elliptic Diffusion Processes and It’s Application

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Wuhan university Journal of Natural Sciences 2005年第2期10卷 347-350页

作者： LI Bo 1,2 , ZHANG Xiao-min 3 1.school of mathematics and statistics,Huazhong normal university,Wuhan 430079,Hubei,China 2.school of mathematics and statistics, Wuhan university, Wuhan 430072, Hubei, China 3.Faculty of Science,Ningbo university,Ningbo 315211,Zhejiang, China school of mathematics and statistics Huazhong Normal University Wuhan Hubei China school of mathematics and statistics Wuhan University Wuhan Hubei China Faculty of Science Ningbo University Ningbo Zhejiang China

The cone condition for x to be tegular for B under the elliptic diffusionprocess was proved. We also gave a necessary and sufficient condition for 0 to be regular for thornunder the elliptic diffusion process.

关键词： regular capacity thorn diffusion process

Finite-dimensional Lie superalgebras of Cartan type over fields of prime characteristic

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Chinese Science Bulletin 1997年第9期42卷 720-724页

作者： ZHANG YongzhengDepartment of mathematics, northeast normal university, Changchun, 130024, China Department of mathematics Northeast Normal University Changchun China

IN this note the infinite-dimensional Lie superalgebras of Cartan type X(m,n)(X=W,S,H or K)over field F of prime characteristic are *** the second class of finite-dimensional Lie superalgebras of Cartan type over F is... 详细信息

关键词： exterior algebra Lie superalgebra filtration.

AN ESTIMATE ON THE DISTRIBUTION AND MOMENTS OF THE LAST EXIT TIME OF AN ELLIPTIC DIFFUSION PROCESS

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Acta Mathematica Scientia 2006年第4期26卷 639-645页

作者：李波刘禄勤 school of mathematics and statistics Huazhong normal university Wuhan 430079China School of Mathematics and StatisticsWuhan UniversityWuhan 430072China school of mathematics and statistics Wuhan university Wuhan 430072China

Let Ls be the last exit time from a compact set B of an elliptic diffusion process X. A moderate estimate for the distribution of Ls is obtained, and the sufficient and necessary condition for E^x（L^κB）〈∞ is pr... 详细信息

关键词： Last exit time moment transience distribution diffusion process