不完全实物资产市场一般货币均衡的性质(英文)

本文讨论不完全实物资产市场一般货币均衡．我们考察货币作为交换媒介的作用并且通过（规范化的）（无套利）GEI均衡与（规范化的）（无套利）一般货币均衡的等价性证明不完全实物资产市场货币交换经济一般货币均衡的性质，即普适存在性、有限性和正则性．     

中国期货市场与现货市场的价格引导与价格发现

长期以来对期货市场与现货市场价格关系的实证研究都是基于时间序列方法的研究.为了克服时间序列方法存在着的不足,将使用面板数据方法,在面板单位根检验以及面板协整检验和协整估计的基础上,构建面板误差修正模型来分析期货价格和现货价格的均衡以及相互引导关系.进一步的,在误差修正模型的基础上我们采用信息份额方法(I-S模型)和共同因子贡献法(P-T模型)分析了期货市场和现货市场的价格发现功能.通过上述研究,发现总体上讲我国大宗商品的期货价格和现货价格之间存在着长期均衡,并且表现出了相互引导互为Granger因果的关系.利用I-S模型和P-T模型测算出来的期货市场对价格形成的贡献度分别为88.17%和79.44%,这说明当前我国的期货市场总体上讲是有效率的市场.     

中国棉花期货市场价格发现功能研究

期货市场和现货市场之间的价格发现功能一直是监管部门和投资者十分关心的问题。本文借助信息共享模型、脉冲响应函数和方差分解等方法，对中国棉花期货市场和现货市场的价格关系进行了实证研究。研究结果表明：棉花期货价格和现货价格之间存在显著的双向引导关系和长期均衡关系；期货市场和现货市场都扮演价格发现角色，且期货市场在价格发现中处于主导地位。     

具指数赋权指标的证券投资多目标线性规划模型

本文提出证券投资决策的指数赋权指标体系．在该指标体系中,建立风险证券组合投资决策和存在无风险证券或无风险贷款时证券组合投资决策的多目标线性规划模型．研究了有效风险证券组合集和有效证券组合集的结构和相互关系,市场证券组合以及证券均衡市场价格和投资风险分析．     

带风险指数的金融均衡的存在性定理及其结构特征（上）

本文主要论证了在不完全市场条件下带风险指数的金融均衡的存在性，并揭示其均衡结构的特征．本文中建立的模型是一、二期货币投入产出金融经济且具有可微的资产结构，这一模型包括了许多具有特殊资产结构的均衡模型，如实资产结构、应资产结构、恒秩资产结构的均衡模型．因此本文的这一模型具有广泛的应用前景和实用价值．接着给出了本文的金融均衡的存在性定理，再借助微分拓扑给出它的证明过程，这一证明过程较之以前证明均衡存在性的经典方法（如Ｄｕｆｆｉｅ，Ｄ＆Ｗ．Ｓｈｆｅｒ（１９８５）的方法）要简便得多．同时也应注意到本文的这一结论既适用于资产市场下含随机风险因素的情形，也适用于商品空间为无限维的情形．除此之外，还给出了怎样判别资产结构是否属于Ｔ类的判别法，为检验均衡存在性提供了更为便利的途径．最后，本文论证了在金融市场里，尽管由于稀缺性的存在，从而导致均衡分配的多样化，然而均衡分配集却形成了一光滑子流，但该流形的维数与稀缺性有关．换句话说，尽管市场是不完全的，但均衡分配不确定性的度却是可比的．如此使得人们对均衡资产结构的认识更进一步．     

不完全金融市场货币平衡存在性(英)

本文研究不完全金融市场中具有货币政策的货币经济一般平衡存在性．我们只考虑纯金融市场，允许卖空，金融市场是不完全的；一些商品流不可能由交易策略得到．具有连续、弱凸性、严格单调和完全偏好，严格正初始占有和红利过程的经济则存在货币平衡．     

沪铜期货与现货市场的价格发现与波动溢出效应

运用了Granger因果检验、脉冲响应函数、VEC模型以及BEKK模型,对沪铜期货与现货市场的价格发现与波动溢出效应进行实证分析.实证结果表明:期货价格与现货价格存在着长期均衡关系和Granger双向引导关系,在价格发现中,期货市场占主导地位,且比现货市场有着更强的信息效应;期货市场与现货市场各自的波动持久性均显著,而两者间的交叉波动效应相对较小,但是现货市场来自期货市场的波动溢出效应大于期货市场来自现货市场的波动溢出效应.     

带风险指数的金融均衡的存在性定理及其结构特征(下)

本文主要论证了在不完全市场条件下带风险指数的金融均衡的存在性，并揭示其均衡结构的特征．本文中建立的模型是一、二期货币投入产出金融经济且具有可微的资产结构，这一模型包括了许多具有特殊资产结构的均衡模型，如实资产结构、虚资产结构、恒秩资产结构的均衡模型．因此本文的这一模型具有广泛的应用前景和实用价值．接着给出了本文的金融均衡的存在性定理，再借助微分拓扑给出它的证明过程，这一证明过程较之以前证明均衡存在性的经典方法（如Duffie，D＆W．Shfer（1985）的方法）要简便得多．同时也应注意到本文的这一结论既适用于资产市场下会随机风险因素的情形，也适用于商品空间为无限维的情形，除此之外，还给出了怎样判别资产结构是否属于T类的判别法，为检验均衡存在性提供了更为便利的途径．最后，本文论证了在金融市场里，尽管由于稀缺性的存在，从而导致均衡分配的多样化，然而均衡分配集却形成了一光滑子流，但该流形的维数与稀缺性有关．换句话说，尽管市场是不完全的，但均市分配不确定性的反却是可比的．如此使得人们对均衡资产结构的认识更进一步．     

投机市场数量规律研究

本文在假设证券市场为竞争有效市场的基础上,探讨投机市场证券价格与银行利率相互变化的规律。本文得到并证明的主要结论为,在风险中性概率测度观点下,各证券价格与经济单位随机可比财富的变化均具有鞅性,对于经济信息产生于Brown运动情形,各证券价格的单位风险成本趋于相等,给出了证券价格决定银行均衡利率的关系式。     

沪深300股指期货价格发现能力研究

利用沪深300指数及其期货当月主力合约的5分钟高频数据,本文采用Granger因果检验、向量自回归模型、Johansen协整检验及向量误差修正模型,系统分析不同价格趋势下沪深300股指期货的价格发现能力。研究表明:第一,在上涨趋势中期货收益率单方面引起现货收益率变化,现货收益率不是引导期货收益变化的原因;但是,在下跌趋势中现货收益率与期货收益率具有相互引导的Granger因果关系。第二,无论在上涨阶段还是下跌阶段,期货市场都在价格发现能力方面处于主导地位。第三,期货价格与现货价格存在长期均衡关系,当二者短期内偏离均衡时,期货价格引导现货价格向均衡方向调整。     

Qualitative Analysis of Bifurcating Solutions in the Lengyel-Epstein Model

One of the most fundamental problems in theoretical biology is to explain the mechanisms by which patterns and forms are created in the＇living world. In his seminal paper ＂The Chemical Basis of Morphogenesis＂, Turing showed that a system of coupled reaction-diffusion equations can be used to describe patterns and forms in biological systems. However, the first experimental evidence to the Turing patterns was observed by De Kepper and her associates（1990） on the CIMA reaction in an open unstirred reactor, almost 40 years after Turing＇s prediction. Lengyel and Epstein characterized this famous experiment using a system of reaction-diffusion equations. The Lengyel-Epstein model is in the form as follows     

(0,1 ;0)-INTERPOLATION ON INFINITE INTERVAL (-∞, +∞)

In this paper, we study the explicit representation and convergence of (0, 1; 0)-interpolation on infinite interval, which means to determine a polynomial of degree ≤ 3n - 2 when the function values are prescribed at two set of points namely the zeros of Hn(x) and H′n(x) and the first derivatives at the zeros of H′n(x).     

RECENT PROGRESS ON SPHERICAL HARMONIC APPROXIMATION MADE BY BNU RESEARCH GROUP ——In memory of Professor Sun Yongsheng

As early as in 1990, Professor Sun Yongsheng, suggested his students at Beijing Normal University to consider research problems on the unit sphere. Under his guidance and encouragement his students started the research on spherical harmonic analysis and approximation. In this paper, we incompletely introduce the main achievements in this area obtained by our group and relative researchers during recent 5 years （2001-2005）. The main topics are： convergence of Cesaro summability, a.e. and strong summability of Fourier-Laplace series; smoothness and K-functionals; Kolmogorov and linear widths.     

On a class of self-similar processes with stationary increments in higher order Wiener chaoses

We study a class of self-similar processes with stationary increments belonging to higher order Wiener chaoses which are similar to Hermite processes. We obtain an almost sure wavelet-like expansion of these processes. This allows us to compute the pointwise and local Hölder regularity of sample paths and to analyse their behaviour at infinity. We also provide some results on the Hausdorff dimension of the range and graphs of multidimensional anisotropic self-similar processes with stationary increments defined by multiple Wiener–Itô integrals.     

A REPRESENTATION FORMULA RELATED TO SCHR(O)DINGER OPERATORS

Schr(o)dinger operator is a central subject in the mathematical study of quantum mechanics.Consider the Schrodinger operator H = -△ V on R, where △ = d2/dx2 and the potential function V is real valued. In Fourier analysis, it is well-known that a square integrable function admits an expansion with exponentials as eigenfunctions of -△. A natural conjecture is that an L2 function admits a similar expansion in terms of "eigenfunctions" of H, a perturbation of the Laplacian (see [7], Ch. Ⅺ and the notes), under certain condition on V.     

On a class of Riemann surfaces

It is considered the class of Riemann surfaces with dimT1 = 0, where T1 is a subclass of exact harmonic forms which is one of the factors in the orthogonal decomposition of the spaceΩH of harmonic forms of the surface, namely The surfaces in the class OHD and the class of planar surfaces satisfy dimT1 = 0. A.Pfluger posed the question whether there might exist other surfaces outside those two classes. Here it is shown that in the case of finite genus g, we should look for a surface S with dimT1 = 0 among the surfaces of the form Sg\K , where Sg is a closed surface of genus g and K a compact set of positive harmonic measure with perfect components and very irregular boundary.     

Journal of the Operations Research Society of China Special issue on Operations Research in Healthcare Management

正Guest Editors:Hong Chen,Shanghai Jiao Tong University,Shanghai,China Guohua Wan,Shanghai Jiao Tong University,Shanghai,China David Yao,Columbia University,New York,USA Scope:Healthcare delivery worldwide has been fraught with high cost,low efficiency and poor quality of patient care service.For the field of operations research(OR),healthcare offers some of the biggest challenges as well as best opportunities in     

ANALYSIS IN THEORY AND APPLICATIONS Vol. 30, 2014 CONTENTS

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An alternative mathematical algorithm for the photo- and videokeratoscope

Due to the resolution of current laser technology, the accuracy of corneal topography as measured by the videokeratoscope is no longer adequate to provide precise enough data for refractive surgery or for the fitting of customized contact lenses. We present an algorithm for recovering corneal topography that makes use of modern differential geometric techniques and numerical descent in Sobolev spaces. We believe this algorithm may be used with the photo- and videokeratoscope to increase the accuracy of the recovered corneal topography.