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Functional limit theorem for moving average processes generated by dependent random variables

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Progress in Natural Science:Materials International 2006年第3期16卷 266-273页

作者： LIN Zhengyan and LI Degui (department of Mathematics, zhejiang university,{2., china) department of Mathematics Zhejiang University Hangzhou 310028 China

Let {Xt,t≥1} be a moving average process defined by , where {bj,j≥0} is a sequence of real num- bers and {ξt,-∞ 详细信息

Let {Xt,t≥1} be a moving average process defined by , where {bj,j≥0} is a sequence of real num- bers and {ξt,-∞

关键词： functional limit theorem long memory process linear process moving average process φ-mixing.

Lp integrability of trigonometric series with special varying coefficients

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Applied Mathematics:A Journal of Chinese Universities 2009年第4期24卷 402-410页

作者： WEI Bao-rong department of Mathematics,hangzhou Normal {2.,zhejiang 310036,china department of Mathematics Hangzhou Normal University Zhejiang China

Very recently,Yu,Le and Zhou introduced the so called Δ*B1 and Δ*B2.conditions,which are generalizations of the monotone *** applying these two new conditions,the author essentially generalizes the classical results of Chen on the necessary and sufficient conditions of the Lp integrability of trigonometric *** fact,the present paper gives the first result on the necessary and sufficient conditions of the Lp integrability of trigonometric series,where coefficients may have diffierent signs.

关键词： Lp integrability trigonometric series special varying coefficients

Rigidity for rational maps with Cantor Julia sets

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Science china Mathematics 2008年第1期51卷 79-92页

作者： ZHAI Yu department of Mathematics, zhejiang university,{2., china department of Mathematics Zhejiang University Hangzhou China

In this paper, we prove that two rational maps with the Cantor Julia sets are quasicon- formally conjugate if they are topologically conjugate.

关键词： Cantor Julia set rigidity puzzle piece bounded shape quasiconformally conjugate 37F12

The Cauchy problem about Dirac-wave map from the 2.dimension Minkowski space to a complete Riemannian manifold

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Science china Mathematics 2007年第6期50卷 859-874页

作者： Yan ZHANG School of Statistics and Mathematics , zhejiang Gongshang university, {2. 310018, china department of Physics, zhejiang university, hangzhou 31002., china School of Statistics and Mathematics Zhejiang Gongshang University Hangzhou China department of Physics Zhejiang University Hangzhou China

When a target manifold is complete with a bounded curvature, we prove that there exists a unique global solution which satisfies the Euler-lagrange equation of for the given Cauchy data.

关键词： Dirac-wave map nonlinear σ-model spin bundle harmonic map 53C43

Extension of a quantized enveloping algebra by a Hopf algebra

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Science china Mathematics 2010年第5期53卷 300-307页

作者： WU ZhiXiang department of Mathematics,zhejiang {2.,hangzhou 31002.,china department of Mathematics Zhejiang University

Suppose that H is a Hopf algebra,and g is a generalized Kac-Moody algebra with Cartan matrix A =(aij)I×I,where I is an index set and is equal to either {1,2....,n} or the natural number set *** f,g be two mappings from I to G(H),the set of group-like elements of H,such that the multiplication of elements in the set {f(i),g(i)|i ∈I} is *** we define a Hopf algebra Hgf Uq(g),where Uq(g) is the quantized enveloping algebra of g.

关键词： quantum enveloping algebra Hopf algebra Kac-Moody algebra

Line bundles on non-primary Hopf manifolds

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Science china Mathematics 2004年第4期47卷 538-551页

作者： LIU Weiming & ZHOU XiangyuInstitute of Mathematics, Academy of Mathematics and System sciences, Chinese Academy of sciences, Beijing 100080,{2. department of Mathematics, zhejiang university, hangzhou 31002.,{2. Institute of Mathematics Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing China department of Mathematics Zhejiang University Hangzhou China

Let X be a Hopf manifolds with Abelian fundamental group, L any flat line bundle on X, we give a formula for computing explicitly the cohomology Hq(X, Ωp(L) using the method of group action and the generalized Douady... 详细信息

关键词： Hopf surface, cohomology, line bundle, sections.

Preparation and characterization of bis(dimolybdo-nonatungstogermanate)lanthanates of potassium

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Rare Metals 2003年第1期22卷 6-9页

作者： WU Qingyindepartment of Chemistry, zhejiang university,{2., china department of Chemistry Zhejiang University Hangzhou 310027 China

The heteropoly complexes K_(13)[Ln(GeW_9Mo_2._(39))_2. centre dot nH_2. (Ln =La, Ce, Pr, Nd, and Sm) were prepared for the first time and characterized by chemical analysis,infrared (IR) spectrum, ultraviolet (UV) spectrum, X-ray powder diffraction, and thermal ***, UV spectra, and X-ray powder diffraction studies show that the structure of the heteropolycomplexes is a square antiprism consisting of eight oxygen atoms of two GeW_9Mo_2._(39)^(8-)heteropolyanions and a lanthanide ion. The thermostability of heteropoly complexes is lower thanthat of saturated Keggin structure dodecatungstogermanate.

关键词： inorganic chemistry heteropoly complex chemical synthesis lanthanates germanium

Experimental remolding on the caprock's 3D strain field of the Indosinian-Yanshanian epoch in Tongling deposit concentrating area

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Science china earth {2. 2005年第7期48卷 863-874页

作者： DENG Jun1,HUANG Dinghua2.WANG Qingfei1,WAN Li1,SUN Zhongshi3,YANG Liqiang1 & GAO Bangfei1 1. State Key Laboratory of Geological Processes and Mineral Resources,china university of Geo{2.,Beijing 100083,china 2. Faculty of earth {2.,china university of Geo{2.,Wuhan 430074,china 3. department of earth {2.,Jilin university,Changchun 130061,china State Key Laboratory of Geological Processes and Mineral Resources China University of Geosciences Beijing 100083 China Faculty of earth sciences China University of Geosciences Wuhan 430074 China department of earth {2. Jilin University Changchun 130061 China

Based on field observations and rheology analysis, we perform one analogue experiment and remold the 3D structural frame of Tongling deposit concentrating area firstly. Then we disassemble and dialyze the 3D structures of the model using the methods of "slicing" and "stripping". A series of sliced planes vertical to the fold hinges show similar landscapes of that in the drill hole profiles. Meanwhile, layer stripping analysis indicates that the deformation features of each layer in the model are qualitatively analogical to those obtained from field observations. Through contrasting the 3D structure between the experimental model and the field phenomena, we verify the following 3D deformation features of the caprock in this area: (1) the Tongling area mainly consists of three series of NE S-typed fold groups; (2. in the uniform stress field, the incoherent folds universally develop in different positions, along different axes as well as in different strata; (3) the faults propagate upward which are mostly inter-bedded detachment faults, while the fold amplitudes decrease while going deeper; and (4) the folds and cleavages are highly developed in the Silurian System indicating that the deformation effect of the Indosin-ian-Yanshanian structural layer terminates at this layer, which suggests that the Silurian System is the crucial layer for the inversion between brittle and plastic deformation domains and the underlying strata are subject to the control of another deformation system with distinct properties.

关键词： Tongling deposit concentrating area Indosinian-Yanshanian epoch 3D structural frame of the caprock analogue experiment slicing and stripping analysis structural model.

SOME FUNCTIONAL LIMIT THEOREMS FOR THE INFINITE SERIES OF OU PROCESSES

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Chinese Annals of Mathematics,Series B 2003年第2期24卷 249-260页

作者： WANG WENSHENG LIN ZHENGYAN department of Mathematics, zhejiang university,{2., china. department of Mathematics, hangzhou Teacher’s College, hangzhou 310012. china. E-mail: wswang@*** department of Mathematics, zhejiang university,{2., china. department of Mathematics Zhejiang University Hangzhou 310028 China department of Mathematics Hangzhou Teacher's College Hangzhou 310012 China

This paper obtains functional modulus of continuity and Strassen's functional LIL of theinfinite series of independent Ornstein-Uhlenbeck processes, which also imply the Levy's exactmodulus of continuity and LIL of th... 详细信息

关键词： Ornstein-Uhlenbeck processes Stationary Gaussian processes Modulus of continuity Law of the iterated logarithm