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Moderate deviation for super-Brownian motion with immigration

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Science china Mathematics 2004年第3期47卷 440-452页

作者： ZHANG Mei department of Mathematics, beijing normal University, beijing 100875,{4. department of Mathematics, The Central University of Finance and Economics, beijing 100081,{4. 1. department of Mathematics Beijing Normal University 100875 Beijing China 2. department of Mathematics The Central University of Finance and Economics 100081 Beijing China

We prove a moderate deviation principle for a super-Brownian motion with immigration of all dimensions, and consequently fill the gap between the central limit theorem and large deviation principle.

关键词： moderate deviation principle super-Brownian motion with immigration large deviation principle evolution equation

Surface Tension Calculation of Undercooled Alloys

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Rare Metals 2001年第1期20卷 58-61页

作者： Zhiyu Qiao, Lijun Yan, Zhanmin Cao, Guirong Liu (department of Physical chemistry, University of Science and Technology beijing, beijing 100083,{4.) Univ Sci & Technol beijing Dept Phys Chem Beijing 100083 Peoples R China

Based on the Butler equation and extrapolated thermodynamic data of undercooled alloys from those of liquid stable alloys, a method for surface tension calculation of undercooled alloys is proposed. The surface tensions of liquid stable and undercooled Ni-Cu (x(Ni)=0.4.) and Ni-Fe (x(Ni)=0.3 and 0.7) alloys are calculated using STCBE (Surface Tension Calculation based on Butler Equation) program. The agreement between calculated values and experimental data is good enough, and the temperature dependence of the surface tension can be reasonable down to 150-200 K under the liquid temperature of the alloys.

关键词： undercooled alloy surface tension Butler equation

On asymptotics of t-type regression estimation in multiple linear model

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Science china Mathematics 2004年第4期47卷 628-639页

作者： GUI Hengjiandepartment of Mathematics, beijing normal University, beijing 100875,{4. 1. department of Mathematics Beijing Normal University 100875 Beijing China

We consider a robust estimator (t-type regression estimator) of multiple linear regression model by maximizing marginal likelihood of a scaled t-type error *** marginal likelihood can also be applied to the de-correlated response when the withinsubject correlation can be consistently estimated from an initial estimate of the model based on the independent working assumption. This paper shows that such a t-type estimator is consistent.

关键词： t-type regression estimator, M-estimator, one-step estimate, consistency, asymptotic normality.

Synthesis and Structural Characterization of Adduct [La(NO_3)_3·4._2O]·2(BQEB)

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Chinese Chemical Letters 1998年第8期9卷 783-784页

作者： Wen Xiang ZHU Bao Di GOU Yong An ZHANG Yan LI Xue An CHEN(department of chemistry, beijing normal University, beijing, 100875)(Institute of {4., Academia Sinica, beijing 100080) department of chemistry Beijing Normal University Beijing 100875 China Institute of chemistry Academia Sinica Beijing 100080 Taiwan

A new podand compound o-Bis(8'-quinolyloxy) ethylenoxyl benzene (BQEB) was prepared. A lanthanum adduct with BQEB was spothesized and its structure was characterized by X-ray crystal analysis. The La(III) is ten-coordinated to the three No3- and four H2O. Two podand molecules are linked to the coordination core by four hydrogen bonds. The crystal is packed in the manner of .LLMLLMLL.

关键词： podand lanthanum adduct crystal structure

THEORETICAL STUDIES ON NUCLEOPHILIC VINYLICHALIDE SUBSTITUTION

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Chinese Chemical Letters 1996年第7期7卷 631-634页

作者： Lin Jing YANG Xiao Yuan FU Shao Wen ZHANG (department of chemistry.beijing normal University. beijing 00875) beijing normal UNIV DEPT CHEMBEIJING 100875PEOPLES R CHINA

The reactions of vinyl fluoride, chloride, bromide and iodide with CN- and OH- were studied The trend of reactivity of vinyl halide with these two nucleophile is: fluoroethene < chloroethene approximate to bromoethene < iodoethene. The reaction of vinyl fluoride with CN- tends to be a multi-step process while the reactions of the other three vinyl halides with CN-, OH- are all single-step processes. The nucleophilicity of CN- is stronger than that of OH-.

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THE HAUSDORFF MEASURE FOR THE SAMPLE PATH OF THE WESTWATER PROCESS

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Chinese Annals of Mathematics,Series B 1996年第3期17卷 375-388页

作者： ZHOU XIANYIN(Depatment of Mathematics, beijing normal University beijing 100875, china) beijing normal UNIV DEPT MATHBEIJING 100875PEOPLES R CHINA

It is proved that φ(s) = s2 log |logs| is the correct function to give the Hausdorff measureof a sample path of the Westwater process.

关键词： Hausdorff measure Wiener process Westwater process Sojourn time

A Remark on Multilinear Oscillatory Singular Integrals

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Acta Mathematica Sinica,English Series 2000年第4期16卷 655-668页

作者： Shanzhen Lu Dunyan Yan department of Mathematics, beijing normal University, beijing 100875. P. R.{4. department of Mathematics Beijing Normal University Beijing 100875 P. R. China

In this paper we study multilinear oscillatory singular integrals with rough kernel and give a criterion of certain boundedness for this kind of operator

关键词： Multilinear oscillatory integrals Calderon-Zygmund kernel BLO space

Quantum chemical study on the mechanism of the consecutive addition of HCN to aminoacetonitrile

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Chinese Journal of chemistry 1993年第1期11卷 1-5页

作者： HONG,San-Guo department of chemistry,Jiangxi normal University,Nanchang 330027LIU,Ruo-Zhuang department of chemistry,beijing normal University,Betting 100875 1department of chemistry Jiangxi Normal University Nanchang 3300272Department of Chemistry Beijing Normal University Beijing 100875

MINDO/3 method has been used to study the mechanism of the consecutive addition of HCN to *** results obtained for the first three steps show that the reaction is exothermic,and step I is the rate determining step.

关键词： Quantum chemical study on the mechanism of the consecutive addition of HCN to aminoacetonitrile HCN

Lookback time as a test for f(R) gravity in the Palatini approach

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Research in Astronomy and Astrophysics 2011年第11期11卷 1257-1265页

作者： Zhong-Xu Zhai and Wen-Biao Liu department of Physics, Institute of Theoretical Physics, beijing normal University, beijing 100875,{4. department of Physics Institute of Theoretical Physics Beijing Normal University Beijing 100875 China

We use the recently released data of lookback time (LT)-redshift relation, the cosmic microwave background shift parameter and the baryon acoustic oscillation measurements to constrain cosmological parameters of f (R) gravity in the Palatini formalism by considering the f (R) form of type (a) f (R) = R β/Rn and (b) f (R) = R + α ln R β. Under the assumption of a Friedmann-Robertson-Walker universe, we achieved the best fitting results of the free parameters (Ωm0, n) for (a) and (Ωm0, α) for (b). We find that current LT data can provide interesting and effective constraints on gravity models. Compared with other data, the LT constraints favor a smaller value of the non-relativistic matter energy density.

关键词： cosmology cosmic microwave background