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On the Markov equivalence of maximal ancestral graphs

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Science china Mathematics 2005年第4期48卷 548-562页

作者： ZHAO Hui, ZHENG Zhongguo & LIU Baijun School of Mathematical Sciences, Peking university, Beijing 100871, china department of statistics, central china normal university, wuhan 430079, china School of Mathematical Sciences Peking University Beijing China

Necessary and sufficient conditions for a maximal ancestral graph (MAnG)to be Markov equivalent to another MAnG and to a DAG are provided respectively. Also a polynomial-time algorithm for converting a MAnG into its e... 详细信息

关键词： maximal ancestral graph, Markov equivalence, minimal collider path, m-separation.

DESIGN EFFICIENCY FOR MINIMUM PROJECTION UNIFORMITY DESIGNS WITH TWO LEVELS

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Journal of Systems Science & Complexity 2011年第4期24卷 761-768页

作者： Hong QIN Na Z0U Shangli ZHANG department of statistics Central China Normal University Wuhan 430079 China. department of Mathematics Beijing Jiaotong University Beijing 100044 China.

The objective of this paper is to study the issue of design efficiency for minimum projection uniformity designs. The results show that for orthogonal arrays with strength two, the minimum projection uniformity criter... 详细信息

关键词： Generalized minimum aberration minimum projection uniformity orthogonal array uniform design.

GOODNESS-OF-FIT TEST WITH GENETIC BACKGROUND

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Journal of Systems Science & Complexity 2005年第1期18卷 27-34页

作者： WUJihua XIEMinyu PENGRong SUNZhihua departmentofMathematicsandstatistics CentralChinaNormalUniversityWuhan430079China

The chi-square test is a well-known goodness-of-fit test. It is available for arbitrary alternative hypothesis, particularly for a very general alternative. However, when the alternative is a “one-sided” hypothesis, which usually appears in genetic linkage analysis, the chi-square test does not use the information offered by the one-sided ***, it is possible that an appropriate one-sided test, which uses the information,will be better than the chi-square test. This paper gives such an efficient one-sided *** Carlo simulation results show that it is more powerful than the chi-square test, and its power has been increased by 30 percent as compared with that of the chi-square test in most situations.

关键词： chi-square test goodness-of-fit test monte carlo simulation

D-Dimensional Dirac Fermions BEC-BCS Crossover Thermodynamics

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Communications in Theoretical Physics 2007年第7期48卷 99-106页

作者： CHEN Ji-Sheng Institute of Particle Physics & Physics department,central china normal university,wuhan 430079,china Institute of Particle Physics & Physics department Central China Normal University Wuhan 430079 China

An effective relativistic continuum massive Proca Lagrangian action is used to account for the Lorentzvector condensation effects on the equation of state of the strongly interacting fermions *** interior quantumfluctuation effects are incorporated as an external field approximation indirectly through a fictive generalized ThomsonProblem counterterm *** general analytical formulas for the d-dimensional thermodynamics are given nearthe unitary limit region,In the non-relativistic limit for d=3,the universal dimensionless coefficientε=4/9 andenergy gap △/ε_f=5/18 are reasonably consistent with the existing theoretical and experimental *** the unitarylimit for d=2 and T=0,the universal coefficient can even approach the extreme occasion ξ=0 corresponding to theinfinite effective fermion mass m~*=∞,which can be mapped to the strongly coupled two-dimensional electrons and isquite similar to the three-dimensional Bose-Einstein condensation of ideal boson ***,for d=1,the universalcoefficient ξ is negative,implying the non-existence of phase transition from superfluidity to normal *** solutionsmanifest the quantum Ising universal class characteristic of the strongly coupled unitary fermions gas.

关键词： unitary fermions thermodynamics BEC-BCS crossover statistical methods

A theorem of Fong's type for graded algebras

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Science china Mathematics 2005年第5期48卷 577-582页

作者： FAN Yun & ZHU Ping School of Mathematics and statistics, central china normal university, wuhan 430079, china School of Mathematical Science, Nankai university, Tianjin 300071, china School of Mathematics and statistics Central China Normal University Wuhan China School of Mathematical Science Nankai University Tianjin China

Let G be a finite p-solvable group and k be an algebraic closed field of characteristic p. It is proved that any projective indecomposable module of a G-graded k-algebra is an induced module of a module of the subalgebra graded by a Hall p′-subgroup. A necessary and sufficient condition for the indecomposability of an induced module from a Hall p′-subgroup is obtained.

关键词： group graded algebra indecomposable induced module primitive idempotent.

ASYMPTOTIC BEHAVIOR OF HARMONIC MAPS FROM COMPLETE MANIFOLDS

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Chinese Annals of Mathematics,Series B 1999年第2期20卷 247-254页

作者： CHEN QUN department of Matmematics Central China Normal UniversityWuhan 430079China. department ofMathematics Wuhan UniversityWuhan 430072China.

In this paper,the author considers a class of complete noncompact Riemannian manifoldswhich satisfy certain conditions on Ricci curvature and volume comparison. It is shown thatany harmonic map with finite energy from such a manifold M into a normal geodesic ball inanother manifold N must be asymptotically constant at the infinity of each large end of M. Arelated existence theorem for harmonic maps is established.

关键词： Ricci curvature VOlume comparison Fatou's property Harmonic map

Harmonic maps with potential from complete manifolds

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Chinese Science Bulletin 1998年第21期43卷 1780-1786页

作者： CHEN Qun Mathematics department, central china normal university, wuhan 430079, china Institute of Mathematics, Fudan university, Shanghai 200433, china Mathematics department Central China Normal University Wuhan China Institute of Mathematics Fudan University Shanghai China

Harmonic maps with potential from complete manifolds are considered. This is a new kind of maps more general than the usual harmonic maps relating to many interesting problems such as equilibrium system of ferromagnetic spin chain and Neumann motion. Aiming at the general properties, the author derives basic gradient estimates and then Liouville type results for these maps, which are interesting in constrast to those of the usual harmonic maps for the presence of potentials.

关键词： harmonic maps potential ferromagnetic chain gradient estimate.

On the Cayley-Bacharach property and the construction of vector bundles

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Science china Mathematics 2011年第9期54卷 1891-1898页

作者： SUN Hao 1,2 1 department of Mathematics and statistics,Huazhong normal university,wuhan 430079,china 2 department of Mathematics,East china normal university,Shanghai 200241,china department of Mathematics and statistics Huazhong Normal University Wuhan China department of Mathematics East China Normal University Shanghai China

We study the Cayley-Bacharach property on complex projective smooth varieties of dimension n≥2 for zero dimensional subscheme defined by the zero set of the wedge of r-n + 1 global sections of a rank r≥n vector bund... 详细信息

关键词： Cayley-Bacharach property vector bundle reflexive sheaf k-very ample

DECAY RATES AND CONVERGENCE OFSOLUTIONS TO SYSTEM OF ONE-DIMENSIONAL VISCOELASTIC MODEL WITH DAMPING

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Acta Mathematica Scientia 2004年第3期24卷 469-484页

作者： LiuYanhong ZhuChangjiang LaboratoryofNonlinearAnalysis DepartmentofMathematicsCentralChinaNormalUniversityWuhan430079China

This paper considers the asymptotic behavior of solutions to the system of onedimensional viscoelastic model with damping and prove that the corresponding solutions time-asymptotically behave like nonlinear diffusion wave as in [4,11]. In addition, It is also shown that the system of one-dimensional viscoelastic model with damping is a viscosity approximation of a hyperbolic conservation laws with damping.

关键词： Viscoelastic model damping decay rate convergence 35L65 35L70 35Q60