Characterization of measures by potentials

Let μ be a measure in a Banach spaceE, f be an even function onR. We consider the potentialg(a)=f _E f(‖x?a‖)dμ(x). The question is as follows: For whichf does the potentialg determine μ uniquely? In this article we give answers in the cases whereE=l _∞ ⁿ and wheref(t)=|t| ^p andE is a finite dimensional Banach space with symmetric analytic norm. Calculating the Fourier transform of the functionf(‖x‖ _∞) we give a new proof of the J. Misiewicz's result that the functionf(‖x‖ _∞) is positive definite only iff is a constant function.     

The projection method for computing multidimensional absolutely continuous invariant measures

We present an algorithm for numerically computing an absolutely continuous invariant measure associated with a piecewiseC ² expanding mappingS: on a bounded region R ^N. The method is based on the Galerkin projection principle for solving an operator equation in a Banach space. With the help of the modern notion of functions of bounded variation in multidimension, we prove the convergence of the algorithm.     

Some analytical semigroups occurring in probability theory

One-parameter semigroups occurring in operator-limit distributions are investigated. The topological-algebraic background of the relevant monoids is discussed and Lie semigroup theory is applied to the Urbanik Decomposability Semigroup.     

贵州省粮食储藏地理区划初步研究

通过对贵州省气象特征的分析,尤其是对影响粮食安全储藏的主要环境因素温度和相对湿度的分析,得出贵州省粮食储藏可划分为四个地理区域。依据各区域的储藏气候条件和主要粮食的储藏特点,提出相应的储藏技术措施。     

HRPSR软件包的研制

为满足不断增长的对油所了的需求,必须提高地震勘探的精度,这就是要提高地震勘探的分辨率,方法,采用先进的数字信号处理技术处理地震勘探数据,提高地震剖面的分辨率,建立数字信号重色技术和短时傅立叶变换技术联合重构高分辨率地震剖面的计算模型。     

Shear-wave splitting and anisotropy in crust of Dabieshan orogenic belt

The shear-wave splitting was analyzed on the deep seismic sounding profile crossing the Dabieshan area. The direction difference between Sg and SmS fast wave polarization indicates that the modem regional tectonic stress field in the Dabieshan area exists only in uppcr crust, while the crack alignment caused by the Triassic collision between the North China and the Yangtze blocks had been preserved in mid-lower curst.     

水泥黄土增强措施初探

在分析资料和室内试验的基础上,概括了提高水泥黄土强度有效措施,就水泥黄土硬化和外加剂对水泥黄土的作用机理进行了初步探讨。     

论非构造油气藏综合勘探方法

通过研究构造演化和生烃与油气运聚散的关系,总结成功的地震相和基准面旋回高分辨率层序地层学方法在寻找岩性地层油气藏中的应用,分析了各种特殊地震处理和油气检测方法的适用性和可靠性,提出了３个层次、５类方法的非构造油气藏勘探思路。３个层次及有关方法是：在盆地规模上进行整体、动态、综合研究,寻找有利油气聚集带;在有利油气聚集带规模上,开展高分辨率层序地震地层学研究,寻找各类有效尖灭体和圈闭;在可能的圈闭基础上,利用地震烃类检测和化探技术进行圈闭评价。３个层次５类方法的全面研究和有机结合是减小非构造油气藏勘探风险,提高勘探成功率的有效途径。     

Singularity spectrum of fractal signals from wavelet analysis: Exact results

The multifractal formalism for singular measures is revisited using the wavelet transform. For Bernoulli invariant measures of some expanding Markov maps, the generalized fractal dimensions are proved to be transition points for the scaling exponents of some partition functions defined from the wavelet transform modulus maxima. The generalization of this formalism to fractal signals is established for the class of distribution functions of these singular invariant measures. It is demonstrated that the Hausdorff dimensionD(h) of the set of singularities of Hölder exponenth can be directly determined from the wavelet transform modulus maxima. The singularity spectrum so obtained is shown to be not disturbed by the presence, in the signal, of a superimposed polynomial behavior of ordern, provided one uses an analyzing wavelet that possesses at leastN>n vanishing moments. However, it is shown that aC behavior generally induces a phase transition in theD(h) singularity spectrum that somewhat masks the weakest singularities. This phase transition actually depends on the numberN of vanishing moments of the analyzing wavelet; its observation is emphasized as a reliable experimental test for the existence of nonsingular behavior in the considered signal. These theoretical results are illustrated with numerical examples. They are likely to be valid for a large class of fractal functions as suggested by recent applications to fractional Brownian motions and turbulent velocity signals.     

Generation of Molecular Fields, Quantum Similarity Measures and Related Questions

A straightforward discussion on how to generate molecular fields is developed within the postulates of quantum mechanics. The theoretical formalism points towards the generalization and extension of the well-known molecular field forms, associated to density function and electrostatic molecular potential (EMP), including another category of fields associated to quantum molecular similarity measures. The results show that the new formalism can be easily applied to obtain an unlimited number of new information about molecular behavior.