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Some new results on planar harmonic mappings

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Science china Mathematics 2010年第3期53卷 597-604页

作者： CHEN HuaiHui department of Mathematics, nanjing normal university, nanjing 210097,{3. 1. department of Mathematics Nanjing Normal University Nanjing 210097 China

This survey paper contains some new results on the Landau theorem, Bloch theorem and Schwarz-Pick lemma for planar harmonic mappings.

关键词： harmonic mapping Landau theorem Bloch constant Schwarz-Pick lemma quasi-regularity

normal Functions and α-normal Functions

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Acta Mathematica Sinica,English Series 2000年第3期16卷 399-404页

作者： Yan Xu department of Mathematics,nanjing normal {3.,nanjing 210097 P.R.china department of Mathematics Nanjing Normal University Nanjing 210097 P. R. China

This paper has studied two open questions about normal functions due to Lappan,and obtained two corresponding results for α-normal functions.

关键词： Spherical derivative normal function α-normal function

B→K~*γ Decay in Top-Quark Two-Higgs-Doublet Model

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Communications in Theoretical physics 2006年第11期46卷 895-900页

作者： XIAO Zhen-Jun,~+ CHENG Hui-Hui, and L Lin-Xia department of physics and Institute of Theoretical physics,{3., nanjing 210097, china department of physics Nanjing Normal University Institute of Theoretical physics Nanjing Normal University

By employing the QCD factorization approach for the exclusive B→Vγ decays, we study the exclusive decay B→K~*γ in the top-quark two-Higgs-doublet model (T2HDM). Within the considered parameter space, we find the following conclusions (a) A light charged-Higgs boson with a mass about 200 GeV is clearly excluded by the date of B→K~*γ decay, and this lower limit is comparable with that from the inclusive B→Xγ decay; (b) The theoretical predictions for CP asymmetry of B→K~*γ in the T2HDM is always less than 1% in size; and (c) The isospin symmetry breaking for B→K~*γ decay in the SM and T2HDM considered here is around 6% in size and well consistent with the data and the general expectations.

关键词： B meson decay charged-Higgs boson branching ratio CP asymmetry

B→Xsγ, Xsl+l~-Decays and Constraints on Mass Insertion Parameters in MSSM

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Communications in Theoretical physics 2006年第10期46卷 687-696页

作者： XIAO Zhen-Jun,~+ LI Feng-Ying, and ZOU Wen-Jun department of physics and Institute of Theoretical physics,{3., nanjing 210097, china department of physics Nanjing Normal University Institute of Theoretical physics Nanjing Normal University

In this paper, we study the upper bounds on the mass insertion parameters (δ~q)in the minimal supersymmetric standard model. We found that the information from the measured branching ratio of B→Xl+l~-decaycan help us to improve the upper bounds on the mass insertions parameters(δ. Some regions allowed by thedata of Br(B→Xγ)are excluded by the requirement of an SM-like C(m)imposed by the data of Br(B→Xl+l~-).

关键词： B meson decay the minimal supersymmetric standard model mass insertion

Luminosity function of optically-selected type II QSOs

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Science china(physics,Mechanics & Astronomy) 2010年第S1期53卷 191-195页

作者： BIAN WeiHao & ZHANG ShiYan department of physics,nanjing {3. university,nanjing 210097,china nanjing normal Univ Dept Phys Nanjing 210097 Peoples R China

For a sample of 411 type II QSOs with redshifts less then 0.3.we use the Balmer decrements to do the reddening correction of the [O III] luminosities and then derive the intrinsic [O III] luminosity *** find that the host reddening correction of the [O III] 5007 luminosity for type II QSOs cannot be *** median Balmer decrement of Hα/Hβ=4.0 corresponds to an extinction of 0.94 mag for the [O III] 5007 line,which is consistent with the result derived from the median Hβ/Hγ.Comparing the intrinsic luminosity function of type II QSOs with that of type I QSOs,we find that the upper limit of the type II QSO’s fraction in the total QSOs is 80% for type II QSOs with z 3.and 8.6≤log(L[O III]/L)≤9.4.

关键词： type II QSOs luminosity function emission lines Balmer decrements

Completely regular paracompact reflection of locales

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Science china Mathematics 2006年第6期49卷 820-826页

作者： HE Wei & LUO Maokang department of Mathematics, nanjing normal university, nanjing 210097,{3. department of Mathematics, Sichuan university, Chengdu 610064,{3. department of Mathematics Nanjing Normal University Nanjing 210097 China department of Mathematics Sichuan University Chengdu 610064 China

We give an explicit construction of the completely regular paracompact reflection pL of a completely regular locale L described as a sublocale of the Stone-tech compactification βL of L.

关键词： completely regular paracompact locale, nucleus.

Regular n-simplices in R^n with vertices in Z^(n)

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Science china Mathematics 2004年第1期47卷 104-113页

作者： XIA Jianguo & QIN Hourongdepartment of Mathematics, nanjing normal university, nanjing 210097,{3. (email: jgxia@***) department of Mathematics, nanjing university, nanjing 210093.{3. Dept. of Math. Nanjing Normal Univ. Nanjing 210097 China Dept. of Math. Nanjing Univ. Nanjing 210093 China

In this paper the Ⅰ and Ⅱ regular n-simplices are introduced. We prove that the sufficient and necessary conditions for existence of an Ⅰ regular n-simplex in Rn are that if n is even then n = 4m(m + 1), and if n is odd then n = 4m + 1 with that n + 1 can be expressed as a sum of two integral squares or n = 4m - 1, and that the sufficient and necessary condition for existence of a Ⅱ regular n-simplex in Rn is n = 2m2 - 1 or n = 4m(m+1)(m 6 N). The connection between regulars-simplex in Rn and combinational design is given.

关键词： regular n-simplex in Rn, quadratic form.

Morphology and the M_(BH)-σ_* relation for NLS1s

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Science china(physics,Mechanics & Astronomy) 2010年第S1期53卷 256-258页

作者： BIAN WeiHao & HUANG Li department of physics and Institute of Theoretical physics,{3. normal university,{3. 210097,china 1. department of physics and Institute of Theoretical physics Nanjing Normal University Nanjing 210097 China

For a sample of 3. narrow-line Seyfert 1 galaxies(NLS1s)(z<0.1) from the Sloan Digital Sky Survey,we investigate their *** find that 24 NLS1s show clear bar structure and 9 NLS1s show no bar *** bar frequency in this NLS1s sample is about 70%.We do not find any difference in the location of NLS1s with or without bars on the MBH-σ* diagram.

关键词： active galaxies bar black hole mass

The pointwise dimension of self-similar measures

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Chinese Science Bulletin 1999年第23期44卷 2136-2140页

作者： CHEN Ercai and XIONG Jincheng department of Mathematics , nanjing normal university , nanjing 210097,{3. department of Mathematics , South{3. normal university, Guangzhou 51063. ,{3. department of Mathematics Nanjing Normal University Nanjing China department of Mathematics South China Normal University Guangzhou China

The problem about the existence of pointwise dimension of self-similar measure has been discussed. The Hausdorff dimension of the set of those points for which the pointwise dimension does not exist equals the dimenti... 详细信息

关键词： self-similar measure point wise dimension Hausdorff dimension multifractal symbolic space.