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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, Beijing Normal university, Beijing 100875,{2. Corresponding address: Institute of Mathematics, shantou university, shantou 515063,{2. 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.

Global smooth solution of multi-dimensional non-homogeneous conservation laws

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Progress in Natural Science:Materials International 2004年第10期14卷 15-22页

作者： YANG Xiaozhou 1 and ZHANG Tong 2. (1.department of Mathematics,shantou {2.,shantou515063,china 2.Institute of Mathematics,Chinese Academy of Sci-ences,Beijing100080,china) shantou Univ Dept Math Shantou 515063 Peoples R China Chinese Acad Sci Inst Math Beijing 100080 Peoples R China

The initial value problem of multi-dimensional non-homogeneous conservation laws is studied and a sufficient condition of the existence of its global smooth solution is ***,three equivalent propositions of the existence of global smooth solution for multi-dimensional homogeneous scalar conservation laws are also *** global smooth solution is uniquely expressed by the global implicit function that is determined by a scalar equation,not by a system as usual methods do.

关键词： conservation laws global smooth solution global implicit function diffeomorphism

Multiwavelet sampling theorem in Sobolev spaces

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Science china Mathematics 2010年第12期53卷 3197-3214页

作者： LI YouFa 1,2.& YANG ShouZhi 1, 1 department of Mathematics, shantou university,{2., china 2.College of Mathematics and Information Sciences, Guangxi university, Nanning 530004, china 1. department of Mathematics Shantou University Shantou 515063 China2. College of Mathematics and Information Sciences Guangxi University Nanning 530004 China

This paper is to establish the multiwavelet sampling theorem in Sobolev spaces. Sampling theorem plays a very important role in digital signal communication. The most classical sampling theorem is Shannon sampling theorem, which works for bandlimited signals. Recently, sampling theorems in wavelets or multiwavelets subspaces are extensively studied in the literature. In this paper, we firstly propose the concept of dual multiwavelet frames in dual Sobolev spaces (H s (R) , H-s (R)). Then we construct a special class of dual multiwavelet frames, from which the multiwavelet sampling theorem in Sobolev spaces is obtained. That is, for any f ∈ H s (R) with s > 1/2. it can be exactly recovered by its samples. Especially, the sampling theorem works for continuous signals in L 2.(R), whose Sobolev exponents are greater than 1 /2.

关键词： Sobolev spaces refinable function vectors dual multiwavelet frames delta function sampling theorem

Two-dimensional water-filling power allocation algorithm for MIMO-OFDM systems

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Science china(Information Sciences) 2010年第6期53卷 1242-1250页

作者： JIANG YongQuan 1 , SHEN MinFen 1 & ZHOU YuanPing 2.1 department of Electronic Engineering, shantou university,{2., china 2.department of Electronic Engineering, Sichuan university, Chengdu 610064, china 1. department of Electronic Engineering Shantou University Shantou 515063 China2. Department of Electronic Engineering Sichuan University Chengdu 610064 China

Departing from the narrowband channel model, more and more researchers have recently considered the application of multiple-input multiple-output(MIMO) systems over frequency-selective fading channels in combination with the orthogonal frequency-division multiplexing(OFDM) *** this paper, we focus on the capacity of MIMO-OFDM systems and how to increase the *** has been proved that the capacity of a MIMO system with space-dimensional water-filling power allocation is greater than that of the system with uniform power *** MIMO-OFDM systems, there is an additional degree of freedom to allocate power with respect to MIMO systems:the OFDM sub-channels in *** the singular value decomposition(SVD) applied to the channel frequency response matrix, the two-dimensional water-filling power allocation algorithm for MIMO-OFDM systems is proposed based on the Lagrange method, and the corresponding capacity analysis formula is *** results show that the capacity of a MIMO-OFDM system with the proposed two-dimensional water-filling power allocation is greater than that of the system with uniform power allocation and also greater than that of the system with the one-dimensional water-filling power allocation.

关键词： MIMO-OFDM two-dimensional water-filling power allocation capacity analysis singular value decomposition(SVD)

Lipschitz spaces and Q_K type spaces

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Science china Mathematics 2010年第3期53卷 771-778页

作者： LI Hao 1 , WULAN Hasi 1, & ZHOU JiZhen 1,2.1 department of Mathematics, shantou university,{2., china 2.School of Sciences, Anhui university of Science and Technology, Huainan 2.2.01, china 1. department of Mathematics Shantou University Shantou 515063 China2. School of Sciences Anhui University of Science and Technology Huainan 232001 China

If f(z) =Σ∞ n=0 anzn and g(z) =Σ∞n=0bnzn for functions f, g are analytic in the unit disc, the Hadamard products of f and g is defined by f * g = ∞ n=0 a n b n z n . In this paper, the Lipschitz spaces Λ(s, α) ... 详细信息

关键词： Q K type spaces Lipschitz spaces Hadamard products

An asymptotic result of super-Brownian motion on hyperbolic space

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Chinese Science Bulletin 1997年第15期42卷 1240-1244页

作者： TANG Jiashandepartment of Mathematics, Beijing Normal university, Beijing 100875,{2. Institute of Mathematics, shantou university, shantou 515063,{2. department of Mathematics Beijing Normal University Beijing China Institute of Mathematics Shantou University Shantou China

SUPERPROCESS is one kind of measure-valued branching Markov processes. In the recentdecades many results of superprocesses on Euclidean spaces and on general abstract spaces havebeen obtained, but there is only little work on Riemannian manifold. In this note, wewill consider the super-Brownian motions on the hyperbolic space of dimension d and give anasymptotic result of this process (see Corollary 1 below). Iscoe investigated a similar prob-

关键词： hyperbolic space radial super-Brownian motion hitting probability asymptotic.

Two-dimensional Riemann problems of simplified Euler equation

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Chinese Science Bulletin 1998年第6期43卷 441-444页

作者： YANG Xiaozhou 1,2.and HUANG Feimin+1 1. Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing 100080, china 2. department of Mathematics,{2., Guangdong 515063, china Institute of Applied Mathematics Chinese Academy of Sciences Beijing China department of Mathematics Shantou University Guangdong China

The two-dimensional Riemann problem of simplifed Euler equation is discussed, in which initial value contains two different constant states that are separated by a smooth curve. This problem is a natural description of realistic phenomena, but it is hard to study by conventional idea. So a new approach is proposed. Some new properties about two-dimensional rarefaction wave, shock wave and intermediate state of solutions are disclosed.

关键词： D Riemann problem implicit functions cylindrical surface pencil of cylindrical surface.

A Fixed Point Theorem and an Equilibrium Point of an Abstract Economy in H-spaces

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Acta Mathematicae Applicatae Sinica 2003年第3期19卷 425-430页

作者： Ji-cheng Houdepartment of Mathematics, shantou university,{2., chinaCorrespondence address: department of Mathematics and Information Science, Yantai university, Yantai2.4005, china department of Mathematics Shantou University Shantou 515063 China department of Mathematics and Information Science Yantai University Yantai 264005 China

In this note we first prove a fixed point theorem in H-spaces which unities and extends the corresponding results in [6] and [9]. Then, by applying the fixed point theorem, we prove an existence theorem of an equilibr... 详细信息

关键词： H-space fixed points abstract economy non-compact domain Nash equilibria compactly open lower sections

Density-functional formula for strongly correlated systems

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Progress in Natural Science:Materials International 2005年第5期15卷 395-401页

作者： WANG Huaiyu1*, HAN Rushan2.and CHEN Nanxian1(1. department of physics, Tsinghua {2., Beijing 100084, china 2. department of physics, Peking {2., Beijing 100871, china) department of physics Tsinghua University Beijing 100084 China department of physics Peking University Beijing 100871 China

Density functional method is applied for strongly correlated systems. Based on the assumption that the systems are composed of electrons in singly-occupied orbitals and those in doubly-occupied orbitals, a set of self-consistent equations are obtained by standard variation procedure. The equations consist of two parts. One part is to solve the wave functions of the electrons in singly-occupied orbitals and the other is to solve the wave functions of the electrons in doubly-occupied orbitals. The physical meanings of the terms appearing in the equations are discussed.

关键词： density-functional theory strongly correlated systems doubly-occupied orbital two-particle wave function self-consistent equations.