MODEL SHIFT AND STRANGE ATTRACTOR ON MOBIUS STRIP

A new model shift mapping was given in bilateral symbol space. It istopologically conjugate with the traditional shift mapping. Similar to Smale Horseshoe, amodel was constructed correspondent to the model shift mapping, i. e., a class of mappingon Mobius strip was given. Its attractors' structure and dynamical behaviour weredescribed.     

各向异性等离子体散射中的试探粒子模型和BBGKY方法的比较

近年来,由于激光及微波技术的迅速发展,汤姆逊散射已日益广泛地用于等离子体的诊断,辐射散射理论也日益引起广泛的兴趣。 试探粒子模型用于计算等离子体散射谱时可以引入两个假设:试探粒子在背景粒子作     

Linear and sub-linear growth and the CLT for hitting times of a random walk in random environment on a strip

The main goal of this work is to study the asymptotic behaviour of hitting times of a random walk (RW) in a quenched random environment (RE) on a strip. We introduce enlarged random environments in which the traditional hitting time can be presented as a sum of independent random variables whose distribution functions form a stationary random sequence. This allows us to obtain conditions (stated in terms of properties of random environments) for a linear growth of hitting times of relevant random walks. In some important cases (e.g. independent random environments) these conditions are also necessary for this type of behaviour. We also prove the quenched Central Limit Theorem (CLT) for hitting times in the general ergodic setting. A particular feature of these (ballistic) laws in random environment is that, whenever they hold under standard normalization, the convergence is a convergence with a speed. The latter is due to certain properties of moments of hitting times which are also studied in this paper. The asymptotic properties of the position of the walk are stated but are not proved in this work since this has been done in Goldhseid (Probab. Theory Relat. Fields 139(1):41–64, 2007).      

Invariant tests for symmetry about an unspecified point based on the empirical characteristic function

This paper considers a flexible class of omnibus affine invariant tests for the hypothesis that a multivariate distribution is symmetric about an unspecified point. The test statistics are weighted integrals involving the imaginary part of the empirical characteristic function of suitably standardized given data, and they have an alternative representation in terms of an L²-distance of nonparametric kernel density estimators. Moreover, there is a connection with two measures of multivariate skewness. The tests are performed via a permutational procedure that conditions on the data.     

非关联流动的安定性理论及在土力学中的应用

将Melan静力型安定定理加以推广，使其适用于非关联流动法则下的土工结构的安定性分析．应用Palmer的方法构造塑性势面，根据其性质，证明了静力型安定定理在非关联流动法则下同样成立．在非关联的Mok—Coulomb准则下，求解浅黏土层地基极限载荷，得到了比较合理的解答．最后，计算了非关联流动法则下的条形基础地基的安定裁荷．     

Existence of positive solutions of some nonlinear elliptic problems in unbounded domains

In this paper, we study the existence of positive solutions of some nonlinear elliptic problems in unbounded domains. The existence is affected by the properties of the geometry and the topology of the domain.     

双调和泊松方程的新解法

本文用Fourier变换法求解了区域为带形区域和上半平面的双调和Po isson方程的边值问题。     

Trace continuation in infinite-order Sobolev space on a multidimensional strip region

In the Sobolev infinite-order space on a multidimensional strip region we obtain conditions for the existence of a function that, together with all its derivatives, assumes prescribed values on the boundary. An example shows that the sufficient conditions for the trace continuation obtained in the present paper have a significant advantage over those obtained earlier. Furthermore, for spaces of some special type our conditions for trace continuation are both sufficient and necessary. Translated fromMatematicheskie Zametki, Vol. 62, No 6, pp. 820–830, December, 1997 Translated by M. A. Shishkova     

土壤－水稻系统中砷污染表征与相关性校验

研究了青紫泥田、黄筋泥田和红砂田中水溶性砷、酸溶性砷和总砷与水稻生物产量和砷积累的关系，探讨了它们之间的相关性，为表征和校验土壤水稻系统中砷污染提供依据。