Regularity of local times of random fields

In this paper, we study the fractional smoothness of local times of general processes starting from the occupation time formula, and obtain the quasi-sure existence of local times in the sense of the Malliavin calculus. This general result is then applied to the local times of N-parameter d-dimensional Brownian motions, fractional Brownian motions and the self-intersection local time of the 2-dimensional Brownian motion, as well as smooth semimartingales.     

Meta-heuristic approaches for minimizing total earliness and tardiness penalties of single-machine scheduling with a common due date

This study addresses a class of single-machine scheduling problems involving a common due date where the objective is to minimize the total job earliness and tardiness penalties. A genetic algorithm (GA) approach and a simulated annealing (SA) approach utilizing a greedy local search and three well-known properties in the area of common due date scheduling are developed. The developed algorithms enable the starting time of the first job not at zero and were tested using a set of benchmark problems. From the viewpoints of solution quality and computational expenses, the proposed approaches are efficient and effective for problems involving different numbers of jobs, as well as different processing time, and earliness and tardiness penalties.     

一个Bocs的几何参数(Ⅱ)

对局部 Bocs A=(A,V) ,用代数几何的方法计算了维数为 3时的 A的表示范畴 mod3(A)的几何参数 μ(3)和 p(3) .     

The emergence of local norms in networks

We develop an explanation of the emergence of local norms and the associated phenomenon of geographical variation in behavior. Individuals are assumed to interact locally with neighbors in an environment with a network externality. Although many patterns of behavior are possible, the dispersed interactive choices of agents are shown to select behavior that is locally uniform but globally diverse. The range of applications of the theory includes regional variation in the practice of medicine, technology choice, and corruption. The framework is also useful for further developing our understanding of important phenomena like lock‐in, critical thresholds, and contagion. © 2006 Wiley Periodicals, Inc. Complexity 11: 65–83, 2006     

Coincidence Theorems with Applications to Minimax Inequalities, Section Theorem, Best Approximation and Multiobjective Games in Topological Spaces

Some new coincidence theorems involving admissible set-valued mappings are proved in general noncompact topological spaces. As applications, some new minimax inequalities, section theorem, best approximation theorem, existence theorems of weighted Nash equilibria and Pareto equilibria for multiobjective games are given in general topological spaces.     

Thermoelastic bending of locally heated orthotropic shells

The thermoelastic bending of locally heated orthotropic shells is studied using the classical theory of thermoelasticity of thin shallow orthotropic shells and the method of fundamental solutions. Linear distribution of temperature over thickness and the Newton’s law of cooling are assumed. Numerical analysis is carried out for orthotropic shells of arbitrary Gaussian curvature made of a strongly anisotropic material. The behavior of thermal forces and moments near the zone of local heating is studied for two areas of thermal effect: along a coordinate axis and along a circle of unit radius. Generalized conclusions are drawn __________ Translated from Prikladnaya Mekhanika, Vol. 43, No. 3, pp. 80–85, March 2007.     

Indecomposable integrally closed modules of arbitrary rank over a two-dimensional regular local ring

In this paper, we construct indecomposable integrally closed modules of arbitrary rank over a two-dimensional regular local ring. The modules are quite explicitly constructed from a given complete monomial ideal. We also give structural and numerical results on integrally closed modules. These are used in the proof of indecomposability of the modules. As a consequence, we have a large class of indecomposable integrally closed modules of arbitrary rank whose ideal is not necessarily simple. This extends the original result on the existence of indecomposable integrally closed modules and strengthens the non-triviality of the theory developed by Kodiyalam.     

基于离散极大值法的太赫兹光谱特征吸收峰提取方法

太赫兹波在电磁波谱中介于微波和红外辐射之间，具有指纹特性、安全无损、强穿透性等特点，因此太赫兹光谱技术在药品成分和组成检测领域具有广泛应用价值。针对高纯度物质识别研究中存在部分弱吸收峰不易识别，以及混合物的太赫兹光谱中吸收峰强度降低而导致吸收峰位信息模糊化的问题，提出了一种基于离散极大值法的光谱吸收峰位识别方法，即伴随拐点法。伴随拐点法首先利用目标检测物太赫兹吸收系数谱图的一阶和二阶导数确定吸收峰位的伴随拐点和基线谱，其次将原始吸收光谱与基线谱进行差分运算得到差谱，最后根据离散极大值法确定吸收峰位，从而实现特征吸收峰的识别。为验证伴随拐点法的有效性，采用伴随拐点法对四种硝基呋喃类样品光谱进行吸收峰提取，并将吸收峰位识别结果与仿真结果进行比较。实验结果证明，伴随拐点法能有效识别目标检测物的强吸收峰和弱吸收峰。该方法不仅在含峰目标物的太赫兹特征吸收峰识别问题中具有广泛的应用前景，还适用于其他光谱的谱峰峰位检测。     

基于点线插值的离散最小二乘后处理方法

构造了一种基于点线插值有限元的后处理方法,这种后处理方法具有好的超收敛性和最小二乘的稳定性.