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CONSTRUCTION OF INDECOMPOSABLEDEFINITE HERMITIAN FORMS

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Chinese Annals of Mathematics,Series B 1994年第3期15卷 349-360页

作者： ZHU FUZU (department ofMathematics, East china normal university Shanghai 200062,china) 华东师范大学数学系上海 200062

This Paper gives a method to construct indecomposable positive definite integral Hermitianforman imnginary quadratic field Q with gin discriminant and g。n *** is shown that for ally natural numbers n and a, there are n-ary Indecomposable positivedefinite intopal Herlllltian lattices over Q(resp. Q)with discriminant a, exceptfor four(resp. one) exceptions. In these exceptional cases there are no lattices with the desiredproperties.

关键词： Indecomposable lattice(form) Minimum of a lattice(form) Minimal、ctor Irreduclble vector.

BIFURCATION RESULTS FOR A SEMILINEAR SCHRDINGER EQUATION WITH INDEFINITE LINEAR PART

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Acta Mathematica Scientia 2004年第3期24卷 493-498页

作者：张正杰卢伟明 Laboratory of Nonlinear Analysis Department of Mathematics Central China Normal University Wuhan 430079 China Institute of Chemical Technology Zhengzhou Institute of Technology Zhengzhou 450052 Chinahis paper studies the following semilinear Schrodinger problem It is proven that there exists a bifurcation branch of solutions for the above problem when g(x) can possibly vanish except for a bounded domain ΩRN.

This paper studies the following semilinear Schrodinger problem It is proven that there exists a bifurcation branch of solutions for the above problem, when g(x) can possibly vanish except for a bounded domain Ω RN.

关键词： Schrodinger equation branch of solutions bifurcation

Moderate deviation for super-Brownian motion with immigration

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Science china Mathematics 2004年第3期47卷 440-452页

作者： ZHANG Mei department of Mathematics, Beijing normal university, Beijing 100875, china department of Mathematics, The central university of Finance and Economics, Beijing 100081, china department of Mathematics Beijing Normal University Beijing China department of Mathematics The Central University of Finance and Economics Beijing China

We prove a moderate deviation principle for a super-Brownian motion with immigration of all dimensions, and consequently fill the gap between the central limit theorem and large deviation principle.

关键词： moderate deviation principle super-Brownian motion with immigration large deviation principle evolution equation

On the normal Criterion of Quasimeromorphic Mappings

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wuhan university Journal of Natural Sciences 2001年第3期6卷 621-625页

作者： Deng Fang\|wen College of Mathematics and statistics, wuhan university, wuhan 430072, china College of Mathematics and Statitics Wuhan University Wuhan China

In this paper, we generalize an, inequality of meromorphic mappings to quasimeromorphic ones. Applying the results here, we can establish a normal criterion of quasimeromorphic mappings.

关键词： quasimeromorphic mapping covering surface normal criterion

DIRECT EXMNSIONS FOR THE DISTRIBUTION FUNCTIONS AND DENSITY FUNCTIONS OF χ~2-TYPE AND t-TYPE DISTRIBUTED RANDOM VARIABLES

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Chinese Annals of Mathematics,Series B 1996年第3期17卷 289-300页

作者： ZHENG ZUKANG(department of statistics & Operational Research, Fudan university, Shanghai 299433, china) department of statistics and Operational Research Fudan University Shanghai 299433 China

Suppose that Z1 , Z2,’’’ Zn are independent normal random variables with common meanμ and variance σ2. Then S2 and have distribution andtn-1 distribution respectively. If the normal assumption fails, there will be the remaindersof the distribution functions and density functions. This paper gives the direct expansions ofdistribution functions and density functions of S2 alld T up to o(n-1). They are more intuitiveand convenient than usual Edgeworth expansions.

关键词： Edgeworth expansion Distribution function Density function

Study on sea water intrusion into palaeochannels on south coastal plain of the Laizhou Bay by the Bohai Sea

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Acta Oceanologica Sinica 2003年第1期22卷 69-74页

作者： Han Mei Geography department, Shandong normal university, Jinan 250014, china Geography department Shandong Normal University Jinan 250014 China

The palaeochannel evolution in the study region is divided into four stages by such methods as 14C dating. Sea water intrusion through palaeochannels has been studied as a focal point. Palaeochannels are the main passageways through which the sea water intrudes at a higher speed, through many means and in a changeable dynamic state.

关键词： Palaeochannel sea water intrusion south coastal plain of Laizhou Bay

Revolution or Non-Revolution of Students in the Qing Dynasty——A Tentative Discussion Based on the Impressions and Historical Presence of the Late Qing Dynasty

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学术界 2011年第5期 280-283页

作者： Liu Xunhua central china normal university

Students in the era of Qing Dynasty,with their distinctive sharpness,elbowed,fought,and rocked the society of that *** a time of weakened national power and brimming nationalism,grass-root intellects,with their welding of media power and writing,controlled and changed the mainstream opinions of that *** for reform by student's revolution or

关键词： time Revolution or Non-Revolution of Students in the Qing Dynasty A Tentative Discussion Based on the Impressions and Historical Presence of the Late Qing Dynasty

STABLE SUB-GAUSSIAN MODELS CONSTRUCTED BY POISSON PROCESSES

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Acta Mathematica Scientia 2011年第5期31卷 1945-1958页

作者：戴洪帅李育强 department of Mathematics Central South University School of Finance and statistics East China Normal University College of Mathematics and Information Science Guangxi University

In this paper, we first prove that one-parameter standard α-stable sub-Gaussian processes can be approximated by processes constructed by integrals based on the Poisson process with random intensity. Then we extend this result to the two-parameter processes. At last, we consider the approximation of the subordinated fractional Brownian motion.

关键词： stable sub-Gaussian process weak convergence Poisson process Riemann integral

Codimension 3 nonresonant bifurcations of homoclinic orbits with two inclination flips

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Science china Mathematics 2005年第2期48卷 248-260页

作者： SHUI Shuliang & ZHU Deming College of Mathematics and Physics, Zhejiang normal university, Jinhua 321004, china department of Mathematics, East china normal university, Shanghai 200062, china College of Mathematics and Physics Zhejiang Normal University Jinhua China department of Mathematics East China Normal University Shanghai China

Homoclinic bifurcations in four-dimensional vector fields are investigated by setting up a local coordinate near a homoclinic orbit. This homoclinic orbit is principal but its stable and unstable foliations take inclination flip. The existence, nonexistence, and uniqueness of the 1-homoclinic orbit and 1-periodic orbit are studied. The existence of the two-fold 1-periodic orbit and three-fold 1 -periodic orbit are also obtained. It is indicated that the number of periodic orbits bifurcated from this kind of homoclinic orbits depends heavily on the strength of the inclination flip.

关键词： bifurcation, homoclinic orbit, non-resonance, inclination flip, 1-periodic orbit.