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ON THE MULTIPLE TIME SET OF BROWNIAN MOTIONS

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Chinese Annals of Mathematics,Series B 1994年第2期15卷 225-234页

作者： ZHOU XIANYIN(department of Matehematics,beijing 100875, china) beijing normal UNIV DEPT MATHBEIJING 100875PEOPLES R CHINA

Let Sdp be the p-multiple time set of the Brownian motion in d dimensions. In this paper , the Hausdorff measure function for S32 is proved to be , and the Hausdorff measuure problem for S2p is also discussed. As a re... 详细信息

关键词： Hausdorff measure Intersection local time Multiple time set Brownian motion.

An equality on Hochschild homology groups

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Chinese Science Bulletin 1997年第8期42卷 624-627页

作者： ZHANG Pu and LIU Shaoxue1. department of Mathematics, university of Science and Technology of china, Hefei 230026, china 2. department of Mathematics, beijing normal university, beijing 100875, china department of Mathematics University of Science and Technology of China Hefei China department of Mathematics Beijing Normal University Beijing China

LET A be finite-dimensional algebra over field k,and Ae the enveloping algebra of A,i.e.Ae=A kAop,where Aop is the opposite algebra of *** A-bimodule has a natural left Ae-module structure as follows:

关键词： finite-dimensional algebra Hochschild homology groups dimensions.

Birth-death processes on trees

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Science china Mathematics 2010年第11期53卷 2993-3004页

作者： MA YuTao School of Mathematical Sciences & Laboratory of Mathematics and Complex Systems, beijing normal university, beijing 100875, china 1. School of Mathematical Sciences & Laboratory of Mathematics and Complex Systems Beijing Normal University Beijing 100875 China

In this paper, we consider birth-death processes on a tree T and we are interested when it is regular, recurrent and ergodic (strongly, exponentially). By constructing two corresponding birth death processes on Z+, we obtain computable conditions sufficient or necessary for that (in many cases, these two conditions coincide). With the help of these constructions, we give explicit upper and lower bounds for the Dirichlet eigenvalue λ0. At last, some examples are investigated to justify our results.

关键词： birth-death process tree ergodicity Dirichlet eigenvalue

CONVERGENCE OF THE POINT VORTEX METHODS FOR EULER EQUATION ON HALF PLANE

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Journal of Computational Mathematics 1996年第3期14卷 213-222页

作者： P.W. Zhang(department of Mathematics, beijing university, beijing,{4.) beijing UNIV DEPT MATHBEIJING 100871PEOPLES R CHINA

In this paper, we study the point vortex method for 2-D Euler equation of incompressible how on the half plane, and the explicit Euler's scheme is considered with the reflection method handling the boundary condition.... 详细信息

关键词： Math CONVERGENCE OF THE POINT VORTEX METHODS FOR EULER EQUATION ON HALF PLANE Zhang

Developing land use scenario dynamics model by the integration of system dynamics model and cellular automata model

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Science china Earth Sciences 2005年第11期48卷 1979-1989页

作者： HE Chunyang, SHI Peijun, CHEN Jin, Li Xiaobing, PAN Yaozhong, LI Jing, LI Yuechen & LI Jinggang Key Laboratory of Environmental Change and Natural Disaster, Ministry of Education of china, beijing normal university College of Resources Science & Technology, beijing normal university, beijing 100875, china 1. Key Laboratory of Environmental Change and Natural Disaster Ministry of Education of China Beijing Normal University China 2. College of Resources Science & Technology Beijing Normal University 100875 Beijing China

Modeling land use scenario changes and its potential impacts on the structure and function of the ecosystem in the typical regions are helpful to understanding the interactive mechanism between land use system and ecological system. A Land Use Scenario Dynamics (LUSD) model by the integration of System Dynamics (SD) model and Cellular Automata (CA) model is developed with land use scenario changes in northern china in the next 20 years simulated in this paper. The basic idea of LUSD model is to simulate the land use scenario de-mands by using SD model at first, then allocate the land use scenario patterns at the local scale with the considerations of land use suitability, inheritance ability and neighborhood effect by using CA model to satisfy the balance between land use scenario demands and supply. The application of LUSD model in northern china suggests that the model has the ability to reflect the complex behavior of land use system at different scales to some extent and is a useful tool for assessing the potential impacts of land use system on ecological system. In addition, the simulated results also indicate that obvious land use changes will take place in the farming-pastoral zone of northern china in the next 20 years with cultivated land and urban land being the most active land use types.

关键词： system dynamics, cellular automata, scenario, land use, model

Littlewood-Paley operators with variable kernels

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Science china Mathematics 2006年第5期49卷 639-650页

作者： CHEN Jiecheng, DING Yong & FAN Dashan department of Mathematics, Zhejiang university (Xixi Campus), Hangzhou 310028, china School of Mathematical Sciences, beijing normal university,{4., china department of Mathematics, university of Wisconsin-Milwaukee, Milwaukee WI 53201, USA department of Mathematics, Central china normal university, Wuhan 4.0074. china department of Mathematics Zhejiang University [Xixi Campus] Hangzhou 310028 China School of Mathematical Sciences Beijing Normal University Beijing 100875 China department of Mathematics University of Wisconsin-Milwaukee Milwaukee WI 53201 USA department of Mathematics Central China Normal University Wuhan 430074 China

In this paper we study a certain directional Hilbert transform and the boundedness on some mixed norm spaces. As one of applications, we prove the Lp-boundedness of the Littlewood-Paley operators with variable kernels... 详细信息

关键词： directional Hilbert transform, Sobolev spaces, Littlewood-Paley operator,variable kernel.

Extracting impervious surfaces from multi-source satellite imagery based on unified conceptual model by decision tree algorithm

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Science china(Technological Sciences) 2010年第S1期53卷 68-74页

作者： QIAO Yu,LIU HuiPing,BAI Mu,WANG XiaoDong & ZHOU XiaoLuo School of Geography,beijing normal university,beijing {4.,china 1. School of Geography Beijing Normal University Beijing 100875 China

Extraction of impervious surfaces is one of the necessary processes in urban change *** paper derived a unified conceptual model (UCM) from the vegetation-impervious surface-soil (VIS) model to make the extraction more effective and *** uses the decision tree algorithm with indices of spectrum and texture,*** this model,we found both dependent and independent indices for multi-source satellite imagery according to their similarity and *** purpose of the indices is to remove the other land-use and land-cover types (e.g.,vegetation and soil) from the imagery,and delineate the impervious surfaces as the *** has the same steps conducted by decision tree *** Landsat-5 TM image (30 m) and the Satellite Probatoire d’Observation de la Terre (SPOT-4. image (20 m) from Chaoyang District (beijing) in 2007 were used in this *** results show that the overall accuracy in Landsat-5 TM image is 88%,while 86.75% in SPOT-4.*** is an appropriate method to meet the demand of urban change detection.

关键词： multi-source satellite imagery impervious surfaces extraction VIS model decision tree algorithm

Electrochemical Behavior of Adriamycin at Ni/GC Ion Implantation Modified Electrode

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Chinese Chemical Letters 2000年第7期11卷 601-602页

作者： Jing Bo HU Qi Long LI(department of Chemistry, beijing normal university, Bejing 100875) beijing normal Univ Dept Chem Beijing 100875 Peoples R China

With a Ni/GC ion implantation modified electrode as working electrode, in 0.1 mol/L HOAc-NaOAc (pH=4.62) solution, a sensitive reductive wave of ADM was obtained by linear sweep voltammetry. The peak potential was -0.55 V (***). The peak current is proportional to the concentration of ADM with a detection limit of 6.9 X 10(-8) mol/L. The behavior of the reduction wave was studied. The experiments of AES and XPS showed that Ni was surely implanted into the surface of the GCE and the implanted Ni at the GCE improved the electrocatalytic activity.

关键词： ion implantation modified electrode electrochemical behavior adriamycin

METHOD OF NONCONFORMING MIXED FINITE ELEMENT FOR SECOND ORDER ELLIPTIC PROBLEMS METHOD OF NONCONFORMING MIXED FINITE ELEMENT FOR SECOND ORDER ELLIPTIC PROBLEMS

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Journal of Computational Mathematics 2000年第5期18卷 449-456页

作者： Zhen-dong Luo (department of Mathematics, Capital normal university, beijing 100057,{4.) 首都师范大学北京 100037

In this paper, the method of non-conforming mixed finite element for second order elliptic problems is discussed and a format of real optimal order for the lowest order error estimate.

关键词： Non-conforming mixed finite element Error estimate Second order elliptic problems.