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Moment bounds for IID sequences under sublinear expectations

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science china mathematics 2011年第10期54卷 2155-2160页

作者： HU Feng1,2 1Department of mathematics,Qufu normal university,Qufu 273165,china 2school of mathematics,Shandong university,Jinan 250100,china 1. Department of mathematics Qufu Normal University Qufu 273165 China2. School of Mathematics Shandong University Jinan 250100 China

With the notion of independent identically distributed(IID) random variables under sublinear expectations introduced by Peng,we investigate moment bounds for IID sequences under sublinear expectations. We obtain a moment inequality for a sequence of IID random variables under sublinear expectations. As an application of this inequality,we get the following result:For any continuous functionsatisfying the growth condition |(x) | C(1 + |x|p) for some C > 0,p 1 depending on ,the central limit theorem under sublinear expectations obtained by Peng still holds.

关键词： moment bound sublinear expectation IID random variables G-normal distribution central limit theorem

Technical framework for Internetware: An architecture centric approach

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science in china(Series F) 2008年第6期51卷 610-622页

作者： YANG FuQing1,2, Lü Jian3,4 & MEI Hong1,2 1 Key Laboratory of High Confidence Software Technologies (Peking university), Ministry of Education, Beijing 100871, china 2 school of Electronics Engineering and computer science, Peking university, Beijing 100871, china 3 State Key Laboratory for Novel Software Technology, nanjing 210093, china 4 Department of computer science and Technology, nanjing university, nanjing 210093, china 1. Key Laboratory of High Confidence Software Technologies (Peking university) Ministry of Education Beijing 100871 China 2. school of Electronics Engineering and computer science Peking University Beijing 100871 China 3. State Key Laboratory for Novel Software Technology Nanjing 210093 China 4. Department of computer science and Technology Nanjing University Nanjing 210093 China

Being a new software paradigm evolved by the Internet, Internetware brings many challenges to the traditional software methods and techniques. Sponsored by the national basic research program （973）, researchers in china have developed an architecture centric technical framework for the definition, incarnation and engineering of Internetware. First of all, a software model for Internetware is defined for what to be, including that Internetware entities should be packaged as components, behaving as agents, interoperating as services, collaborating in a structured and on demand manner, etc. Secondly, a middleware for Internetware is designed and implemented for how to be, including that Internetware entities are incarnated by runtime containers, structured collaborations are enabled by runtime software architecture, Internetware can be managed in a reflective and autonomic manner, etc. Thirdly, an engineering methodology for Internetware is proposed for how to do, including the way to develop Internetware entities and their collaborations by transforming and refining a set of software architectures which cover all the phases of software lifecycle, the way to identify and organize the disordered software assets by domain modeling, etc.

关键词： Internetware component software architecture agent middleware

LONG DOMINATING CYCLES IN GRAPHS

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Systems science and Mathematical sciences 1998年第4期11卷 314-320页

作者： SUN Zhiren(Department Of mathematics, nanjing normal university, nanjing 210097,Institute of Systems science, Academia Silica, Beijing 100080, china)

Let G be a connected graph of order n, and NC2(G) denote min{|N(u)U(v) |:dist(u,v) = 2}, where dist(u,v) is the distance between u and v in G. A cycle C in Gis called a dominatiny cycle, if V(G)\V(C) is an independent set in G. In this paper, weprove that if G contains a domillating cycle and 2, then G contains a dominating cycleof length at least min{n, 2NC2(G) - 2}, which proves partially a conjecture of R. Shenand F. Tian. And we give a class of graphs that show the result is shrpg.

关键词： Dominating cycle neighborhood union

Uniform blow-up profiles and boundary layer for a parabolic system with localized nonlinear reaction terms

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science china mathematics 2005年第2期48卷 185-197页

作者： LI Huiling & WANG Mingxin Department of mathematics, Southeast university, nanjing 210018, china Department of mathematics, Xuzhou normal university, Xuzhou 221116, china 1. Department of mathematics Southeast University 210018 Nanjing China 2. Department of mathematics Xuzhou Normal University 221116 Xuzhou China

This paper deals with the blow-up properties of the solution to a semilinear parabolic system with localized nonlinear reaction terms, subject to the null Dirichlet boundary condition. We first give sufficient conditions for that the classical solution blows up in the finite time, secondly give necessary conditions and a sufficient condition for that two components blow up simultaneously, and then obtain the uniform blow-up profiles in the interior. Finally we describe the asymptotic behavior of the blow-up solution in the boundary layer.

关键词： parabolic system, localized nonlinear reaction terms, blow-up profiles, boundary layer size.

Nonlinear ergodic theorem for semitopological semigroups of non-Lipschitzian mappings in Banach spaces

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Chinese science Bulletin 1997年第1期42卷 8-11页

作者： LI Gang and MA Jipu1. Department of mathematics, Yangzhou normal College, Yangzhou 225002, china 2. Department of mathematics, nanjing university, nanjing 210093, china Department of mathematics Yangzhou Normal College Yangzhou China Department of mathematics Nanjing University Nanjing China

LET G be a semitopological semigroup, i. e. G is a semigroup with a Hausdorff topology such that for each s∈G the mapping s|→s·t and s|→t·s from G to G are continuous. G is called right reversible if any two closed left ideals of G have non-void intersection. In this case, (G,≤) is a directed system when the binary relation '≤' on G is defined by a≤b if and only if Let E be the uniformly convex Banach space

关键词： nonlinear semigroup ergodic theorem non-Lipschitzian mapping.

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, nanjing normal university, 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

Molecular dynamics simulation study on zwitterionic structure to maintain the normal conformations of Glutathione

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science china Chemistry 2007年第5期50卷 660-664页

作者： YAN Han1, ZHU HaoMiao2 & SHEN Jian1,2 1 Jiangsu Research Center of Surface and Interface Chemical Engineering and Technology, nanjing university, nanjing 210093, china 2 Jiangsu Engineering Research Center for Bio-medical function Materials, nanjing normal university, nanjing 210097, china Jiangsu Research Center of Surface and Interface Chemical Engineering andTechnology Nanjing UniversityNanjing 210093China Jiangsu Engineering Research Center forBio-medical function Materials Nanjing Normal UniversityNanjing 210097China

Molecular dynamics simulations were applied to normal conformational Glutathione (GSH) and GSH over zwitterionic and hydrophobic surfaces respectively. Conformational analysis of GSH during the simulation time on RMSD, conformational flexibility and dihedral distribution were performed. The re- sults showed that zwitterionic structure maintains the normal conformations of GSH to a better extent, which should be a first good proof of the hypothesis of "maintain of normal structure".

关键词： protein-surface interactions, molecular dynamics simulation, zwitterionic structure, Glutathione, conformational changes, antithrombotic material

THERMODYNAMIC FORMALISM FOR SUBADDITIVE SEQUENCE OF DISCONTINUOUS FUNCTIONS

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Analysis in Theory and Applications 2010年第2期26卷 174-185页

作者： Xianfeng Ma (nanjing normal university/East china university of science and Technology, china) Ercai Chen (nanjing normal university/nanjing university, china) Yu Pei (nanjing normal university, china) 1. school of mathematics and computer science Nanjing Normal Uniersity Nanjing 210097 P. R. China2. Department of Mathematics East China University of Science and Technology Shanghai 200237 P. R. China3. Center of Nonlinear Science Nanjing University Nanjing 210093 P. R. China

The topological pressure for subadditive sequence of discontinuous functions is defined on any invariant subset having a nested family of subsets in the compact metric space. Two subadditive variational principles associated with two different relatively weak conditions are developed for the defined topological pressure. As an application, we give an example on systems with nonzero Lyapunov exponents.

关键词： thermodynamic formalism variational principle topological pressure subadditive sequence of functions

Image space analysis for variational inequalities with cone constraints and applications to traffic equilibria

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science china mathematics 2012年第4期55卷 851-868页

作者： LI Jun 1,& HUANG nanjing 2 1 College of mathematics and Information,china West normal university,Nanchong 637009,china 2 Department of mathematics,Sichuan university,Chengdu 610064,china 1. College of mathematics and Information China West Normal University Nanchong 637009 China2. Department of Mathematics Sichuan University Chengdu 610064 China

In this paper,the image space analysis (for short,ISA) is employed to investigate variational in- equalities (for short,VI) with cone *** separation for VI with cone constraints is characterized by using the normal cone to a regularization of the image,and saddle points of the generalized Lagrangian func- ***-type necessary and sufficient optimality conditions for VI with cone constraints are presented by using a separation *** functions and weak sharpness for VI with cone constraints are also investi- ***,the obtained results are applied to standard and time-dependent traffic equilibria introduced by Daniele,Maugeri and Oettli.

关键词： variational inequality image space analysis linear separation necessary and sufficient optimalitycondition traffic equilibrium