A novel hydrodynamic approach to superconductivity. Appearance of the Meissner effect

From the point of view of spin interactions, considering the electron a charged quantised vortex-type object (QVTO) with vortex strength Γ=±h/2m, we study a two-dimensional system of electrons with antiferromagnetic arrangement of spins. In the conditions of an applied magnetic field some of the electrons will flip the spin and the equivalent QVTO system will start to move due to corroborated action of the vortex population. The developed currents will create a magnetic field opposed to the applied magnetic field, leading to the appearance of Meissner effect. As a function of the intrinsic pinning, the velocity field yields two behaviours, identified with Type I and Type II superconductors. The critical values of the magnetic field arise naturally from the balance between the Lorentz and Coulombian forces acting upon a moving QVTO. A temperature dependence of the distance between the QVTO and critical field is derived.     

ARIMA,cointegration, Kalman-filter, α -stable distributions

A group of scientists, from Ukraine, the United Kingdom and Switzerland met at the 3rd International Congress on Industrial and Applied Mathematics (ICIAM95) Hamburg. They decided to pool their applied research efforts and experiences in the domain of mathematics, statistics and economics and to collaborate in empirical research on the subject of the transitional economies of Ukraine and Eastern Europe after 1989. The activity started in autumn 1995 within the framework of a project titled Analysis of Economic and Environmental Time Series (AEETS).At theMinisymposium Cointegrating, Kalman Filtering of Economic Time Series, α-stable Distributions, of the ICIAM07 in Zurich, the AEETS group has presented a sample of recently treated questions. In this abstract two of these subjects are summarised. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)     

Network analysis of the e-MID overnight money market: the informational value of different aggregation levels for intrinsic dynamic processes

In this paper, we analyze the network properties of the Italian e-MID data based on overnight loans during the period 1999–2010. We show that the networks appear to be random at the daily level, but contain significant non-random structure for longer aggregation periods. In this sense, the daily networks cannot be considered as being representative for the underlying ‘latent’ network. Rather, the development of various network statistics under time aggregation points toward strong non-random determinants of link formation. We also identify the global financial crisis as a significant structural break for many network measures.     

低碳约束下湖南省产业结构优化研究

在湖南省"十二五"规划工业产业节能减排的背景下,如何在碳减排目标的基础上,实现产业结构优化,成为湖南省面临的重大挑战.本文构建低碳约束下湖南省主导产业选择指标体系,计算并选取湖南省无低碳约束和有低碳约束下的主导产业.进一步,本文设计无低碳约束、弱低碳约束和强低碳约束三种情景模拟,分析不同的低碳约束条件对湖南省主导产业选择的影响.本文结论如下:1)无低碳约束条件下,湖南省主导产业包括有色金属冶炼及压延加工业等碳生产力较低的行业,低碳约束条件下,湖南省主导产业包括食品制造业等碳生产力较高的行业.这表明,考虑低碳约束条件,湖南省主导产业由碳生产力较低的行业向碳生产力较高的行业转变.2)情景模拟结果表明,一些传统支柱型产业仍是湖南省产业结构优化中需重点发展的产业,且随着低碳政策的深化和节能减排目标的扩大,战略性产业如医药制造业成为主导产业,在产业结构优化中发挥中坚作用.     

A class of backward doubly stochastic differential equations with discontinuous coefficients

In this work the existence of solutions of one-dimensional backward doubly stochastic differential equations （BDSDEs） with coefficients left-Lipschitz in y （may be discontinuous） and Lipschitz in z is studied. Also, the associated comparison theorem is obtained.     

THE MINIMUM SPANNING TREE PROBLEM: Jarník's solution in historical and present context

This article discusses mutual relationships between solutions to some known problems. Firstly, the history of the well-known Minimum Spanning Tree Problem, including Jarník's approach to it, is briefly revisited. Secondly, the basic differences between the three classical solutions to the MST problem are discussed. Finally, algorithms solving several other graph problems, based of Jarník's approach to the solution of the MST problem, are discussed in conjunction with the properties of the Breadth-First-Search Tree and Depth-First-Search Tree.     

A simple method of chaos control for a class of chaotic discrete-time systems

In this paper, a simple method is proposed for chaos control for a class of discrete-time chaotic systems. The proposed method is built upon the state feedback control and the characteristic of ergodicity of chaos. The feedback gain matrix of the controller is designed using a simple criterion, so that control parameters can be selected via the pole placement technique of linear control theory. The new controller has a feature that it only uses the state variable for control and does not require the target equilibrium point in the feedback path. Moreover, the proposed control method cannot only overcome the so-called “odd eigenvalues number limitation” of delayed feedback control, but also control the chaotic systems to the specified equilibrium points. The effectiveness of the proposed method is demonstrated by a two-dimensional discrete-time chaotic system.     

强混合相依变量加权和的收敛性及其应用

本文提供一条处理相依样本的新途径.建立了强混合相依变量加权和的收敛性.作为它的应用,考虑回归模型,给出回归函数非参数的强相合估计.