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ENERGY FLOWS IN COMPLEX ECOLOGICAL SYSTEMS:A REVIEW

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Journal of Systems Science & Complexity 2009年第3期22卷 345-359页

作者： Jiang ZHANG department of Systems Science,School of Management,beijing {2. university,beijing 100875,china. department of Systems Science School of Management Beijing Normal University

Energy flow drives the complex systems to *** allometric scaling as the universalenergy flow pattern has been found in different scales of ecological *** reflects the generalpower law relationship between flow and *** underlying mechanisms of energy flow patterns areexplained as the branching transportation networks which can be regarded as the result of systematicoptimization of a biological target under *** flows in the ecological system may bemodelled by the food web model and population dynamics on the *** paper reviews thelatest progress on the energy flow patterns,explanatory models for the allometric scaling and modellingapproach of flow and network evolution dynamics in ***,the possibility of generalizingthese flow patterns,modelling approaches to other complex systems is discussed.

关键词： Allometric scaling energy flow flows in complex systems food web.

Existence and Application of Optimal Markovian Coupling with Respect to Non-Negative Lower Semi-Continuous Functions

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Acta Mathematica Sinica,English Series 2000年第2期16卷 261-270页

作者： Shaoyi Zhangdepartment of mathematics.{2. normal university,{2. 100875,P.R.china department of mathematics,Hubei normal university,Huangshi 435002.P.R.china department of mathematics Beijing Normal University Beijing 100875 P. R. China department of mathematics Hubei Normal University Huangshi 435002 P. R. China

In this paper,for two given transition probabilities,the existence of the optimal Markovian coupling with respect to a non-negative lower semi-continuous function is *** an application of this result,the well-known Strassen’s theorem is ***,it is proved that the existence of an order-preserving Markovian coupling of two given jump processes is equivalent to their stochastical comparability.

关键词： Transition probability Markovian coupling Jump process

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,{2., 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

Homology classes that can be represented by embedded spheres in rational surfaces

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Science china mathematics 2004年第3期47卷 431-439页

作者： GAO Hongzhu GUO Ren department of mathematics,{2. normal university, beijing 100875,china department of mathematics Beijing Normal University Beijing China

The problem of embedding spheres in rational surfaces CP 2.n $\overline {CP} $ 2.is studied. For homology classes u = (b 1 + k, b 2....,b n) with positive self-intersection numbers, a necessary and sufficient conditio... 详细信息

关键词： four manifold embedded sphere self-intersection number

ALMOST　PERIODIC　SOLUTIONS　OF　NEUTRAL　FUNCTIONAL　DIFFERENTIAL　EQUATIONS　WITH　NONAUTONOMOUS　OPERATOR

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Chinese Annals of mathematics,Series B 1995年第4期16卷 519-530页

作者： YUAN RONG(department of mathematics,{2.l beijing 100875, china.) beijing normal UNIV DEPT MATHBEIJING 100875PEOPLES R CHINA

This paper presents some existence theorems on almost periodic solutions for almost periodicneutral functional differential equation and its perturbed systems by means of Liapunov functional, and extends the correspon... 详细信息

关键词： Almost periodic solution Neutral functional differelltial equation Nonautollomous operator

Fuzzy controllers based on some fuzzy implication operators and their response functions

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Progress in Natural Science:Materials International 2004年第1期14卷 16-21页

作者： LI Hongxing 1*, YOU Fei 1 and PENG Jiayin 2.1. department of mathematics,{2., beijing 100875, china 2. department of mathematics, Neijiang Teacher's College, Neijiang 641112. china) department of mathematics Beijing Normal University Beijing 100875 China. department of mathematics Neijiang Teacher''s College Neijiang 641112 China

The fuzzy controllers constructed by 2. fuzzy implication operators based on CRI algorithm and their response functions are discussed. The conclusions show that the fuzzy controllers constructed by 9 fuzzy implication operators are universal approximators to continuous functions and can be used in practical fuzzy control systems. And these 9 fuzzy implication operators except for Einstein operator intersection are all the adjoint pairs of some fuzzy implication operators. Besides, there are 3 other fuzzy controllers formed by fuzzy implication operators being regarded approximately as fitted functions.

关键词： fuzzy implication operators CRI algorithm fuzzy controllers response functions universal approximators

A Remark on Multilinear Oscillatory Singular Integrals

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Acta Mathematica Sinica,English Series 2000年第4期16卷 655-668页

作者： Shanzhen Lu Dunyan Yan department of mathematics,{2., beijing 100875. P. R. china department of mathematics Beijing Normal University Beijing 100875 P. R. China

In this paper we study multilinear oscillatory singular integrals with rough kernel and give a criterion of certain boundedness for this kind of operator

关键词： Multilinear oscillatory integrals Calderon-Zygmund kernel BLO space

Dense coding scheme using superpositions of Bell-states and its NMR implementation

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Science china(Physics,Mechanics & Astronomy) 2005年第1期48卷 57-67页

作者： ZHANG Jingfu, XIE Jingyi, DENG Zhiwei & LU Zhiheng Key Laboratory for Quantum Information and Measurements, department of Physics, Tsinghua university, {2. 100084, china Center for Quantum Information, Tsinghua university, {2. 100084, china department of Materials Science and Engineering, beijing normal university, beijing 100875, china Testing and Analytical Center, beijing normal university, beijing 100875, china department of Physics, beijing normal university, beijing 100875, china Key Laboratory for Quantum Information and Measurements Department of Physics Tsinghua University Beijing 100084 China Center for Quantum Information Tsinghua University Beijing 100084 China department of Materials Science and Engineering Beijing 100875 China Testing and Analytical Center Beijing Normal University Beijing 100875 China department of Physics Beijing Normal University Beijing 100875 China

Dense coding using superpositions of Bell-states is proposed. The generalized Grover's algorithm is used to prepare the initial entangled states, and the reverse process of the quantum algorithm is used to determine the entangled state in the decoding measurement. Compared with the previous schemes, the superpositions of two Bell-states are exploited. Our scheme is demonstrated using a nuclear magnetic resonance (NMR)quantum computer. The corresponding manipulations are obtained. Experimental results show a good agreement between theory and experiment. We also generalize the scheme to transmit eight messages by introducing an additional two-state system.

关键词： dense coding, superpositions of Bell-states, generalized Grover's algorithm, nuclear magnetic res-onance, quantum computer.

Central limit theorem for the occupation time of catalyticsuper-Brownian motion

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Chinese Science Bulletin 1998年第24期43卷 2035-2040页

作者： HONG Wenming department of mathematics,{2., beijing 100875, china Corresponding address: Institute of mathematics, Shantou university, Shantou 515063, china department of mathematics Beijing Normal University Beijing China

The catalytic super_Brownian motion has been considered. If both the catalytic medium process Q and CSBM started with Lebesgue measure λ, the central limit theorem for occupation time of CSBM has been obtained in dim... 详细信息

关键词： branching rate functional Brownian collision local time catalytic super_Brownian motion occupation time central limit theorem.