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CONTACT PROCESS ON HEXAGONAL LATTICE

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Acta Mathematica Scientia 2010年第3期30卷 769-790页

作者：姚强李群昌 department of statistics and Actuarial {2. School of Finance and Statistics East China Normal University School of Mathematical sciences Peking University

In this article, we discuss several properties of the basic contact process on hexagonal lattice H, showing that it behaves quite similar to the process on d-dimensional lattice Zd in many aspects. Firstly, we construct a coupling between the contact process on hexagonal lattice and the oriented percolation, and prove an equivalent finite space-time condition for the survival of the process. Secondly, we show the complete convergence theorem and the polynomial growth hold for the contact process on hexagonal lattice. Finally, we prove exponential bounds in the supercritical case and exponential decay rates in the subcritical case of the process.

关键词： Hexagonal lattice contact process critical value complete convergence theorem rate of growth

Weak minimum aberration and maximum number of clear two-factor interactions in 2.(IV)^(m-p)designs

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science china Mathematics 2005年第11期48卷 1479-1487页

作者： YANG Guijun,LIU Minqian & ZHANG Runchu department of statistics, Tianjin University of {2. and Economics, Tianjin 3002.2. china department of statistics, School of Mathematical sciences and LPMC, Nankai University, Tianjin 300071, china 1. department of statistics Tianjin University of Finance and Economics 300222 Tianjin China 2. department of statistics School of Mathematical Sciences and LPMC Nankai University 300071 Tianjin China

Both the clear effects and minimum aberration criteria are the important rules for the design selection. In this paper, it is proved that some 2.Vm-p designs have weak minimum aberration, by considering the number of clear two-factor interactions in the designs. And some conditions are provided, under which a 2.Vm-p design can have the maximum number of clear two-factor interactions and weak minimum aberration at the same time. Some weak minimum aberration 2.Vm-p designs are provided for illustrations and two non-isomorphic weak minimum aberration 2.V13-6 designs are constructed at the end of this paper.

关键词： clear weak minimum aberration resolution wordlength pattern.

Generalized Local Time of the Indefinite Wiener Integral: White Noise Approach

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Journal of Mathematical Research with Applications 2012年第3期32卷 373-378页

作者： Jingjun GUO 1,2.1.School of statistics,Lanzhou University of finance and Economics,Gansu 73002.,P.R.{2. 2.School of Mathematics and statistics,Huazhong University of science and technology, Hubei 430074,P.R.{2. School of statistics Lanzhou University of Finance and Economics Gansu 730020

In this paper,the generalized local time of the indefinite Wiener integral Xt is discussed through white noise approach,which means to regard the local time as a Hida distribution. Moreover,similar result is also obta... 详细信息

关键词： local time Hida distribution white noise approach.

Algebraic characterization of RNA operations for DNA-based computation

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Progress in Natural science:Materials International 2004年第11期 83-86页

作者： LI Shuchao 1,2.*(1. Faculty of Mathematics and statistics, Central china Normal University, Wuhan 430079, china 2. department of Control science and Engineering, Huazhong University of science and technology, Wuhan 430074, china) FacultyofMathematicsandstatistics CentralChinaNormalUniversityWuhan430079China

Any RNA strand can be presented by a word in the language X *, where X=｛A,C,G,U｝. By encoding A as 010, C as 000, G as 111, and U as 101, the RNA operations can be considered as the performance of concatenation, union, reverse, complement, in terms of the algebraic characterization. The concatenation and union play the roles of multiplication and addition over some algebraic structures, respectively. The rest of the operations turn out to be the homomorphisms or anti-homomorphisms of these algebraic structures. Using this technique, we find the relationship among these RNA operations.

关键词： concatenation code monoid semiring.

A Group-Oriented (t,n) Threshold Signature Scheme with Traceable Signers

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Wuhan University Journal of Natural sciences 2008年第6期13卷 680-684页

作者： TAN Zuowen1,2.1. School of Information technology, Jiangxi University of finance and Economics, Nanchang 330013, Jiangxi, {2. 2. State Key Laboratory of Information Security/Institute of Software, Chinese Academy of sciences, Beijing 100190, {2. School of Information technology Jiangxi University of Finance and Economics Nanchang 330013 Jiangxi China State Key Laboratory of Information Security/Institute of Software Chinese Academy of Sciences Beijing 100190 China

A group-oriented （t, n） threshold signature scheme employs the cryptographic techniques of secret share, allows any subset of t players out of n players to sign message on behalf of the group and disallows the creation of a valid signature if fewer than t players take part in the signature protocol. In this paper, we proposed a new group-oriented （t, n） threshold signature schemes with traceable signers based on Schnorr signature. The proposed scheme is proved traceable, robust and unforgeable against the ＂static＂ adversary with the discrete logarithm assumption in the random oracle model and existence of broadcast channel. The proofs of the strongest security （existential unforgeability against adaptively chosen message attacks under the discrete logarithm assumption） are provided in the random oracle model.

关键词： threshold signature random oracle model robustness

Stability of neutral stochastic differential equations

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Chinese science Bulletin 1997年第13期42卷 1143-1144页

作者： LIAO Xiaoxi and MAO Xuerong1 department of Automatic Control, Huazhong University of science and {2., Wuhan 430074, china 2.department of statistics and Modelling science, University of Strathclyde GL LXH, U K.

Let ω（t） = （ω1（t）,…, ωm（t））T be a Brownian motion defined on a complete probabili-ty space （Ω, F, P）. τ>0, A, B, C are n×n matrices. σ: R+×Rn×Rn→Rn×n, whichis locally Lipschitz continuous and satisfies the linear growth condition. Theorem 1. Assume that there exists a symmetric nonnegative n×n matrix D such thatthe symmetric

关键词： root

LIMIT THEOREMS AND OPTIMAL DESIGN WITH ADAPTIVE URN MODELS

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Journal of Systems science & Complexity 2005年第3期18卷 347-360页

作者： CHENGuijing ZHUChunhua WANGYao-hung departmentofMathematics AnhuiUniversityHefei230039China departmentoffinanceand{2. UniversityofScienceandTechnologyofChinaHefei230026China departmentofstatistics TunghaiUniversityTaichungTaiwan40704

In this paper we study urn model, using some available estimates of successes probabilities, and adding particle parameter, we establish adaptive models. We obtain some strong convergence theorems, rates of convergence, asymptotic normality of components in the urn, and estimates. With these asymptotical results, we show that the adaptive designs given in this paper are asymptotically optimal designs.

关键词： urn model sequential design strong convergence asymptotical normality optimal design

Comparison of dark energy models:A perspective from the latest observational data

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中国科学：物理学、力学、天文学英文版 2010年第9期53卷 1631-1645页

作者： LI Miao1,2.LI XiaoDong2.3 & ZHANG Xin1,4 1Kavli Institute for Theoretical Physics china,Chinese Academy of sciences,Beijing 100190,china 2.ey Laboratory of Frontiers in Theoretical Physics,Institute of Theoretical Physics,Chinese Academy of sciences,Beijing 100190,china 3Interdisciplinary Center for Theoretical Study,University of science and technology of china,hefei 2.002.,china 4department of Physics,College of sciences,Northeastern University,Shenyang 110004,china 1. Kavli Institute for Theoretical Physics china Chinese Academy of Sciences Beijing 100190 China2. Key Laboratory of Frontiers in Theoretical Physics Institute of Theoretical Physics Chinese Academy of Sciences Beijing 100190 China3. Interdisciplinary Center for Theoretical Study University of Science and Technology of China Hefei 230026 China4. Department of Physics College of Sciences Northeastern University Shenyang 110004 China

We compare some popular dark energy models under the assumption of a flat universe by using the latest observational data including the type Ia supernovae Constitution compilation,the baryon acoustic oscillation measurement from the Sloan Digital Sky Survey,the cosmic microwave background measurement given by the seven-year Wilkinson Microwave Anisotropy Probe observations and the determination of H0 from the Hubble Space *** comparison statistics such as the Bayesian and Akaike information criteria are applied to assess the worth of the *** statistics favor models that give a good fit with fewer *** on this analysis,we find that the simplest cosmological constant model that has only one free parameter is still preferred by the current *** other dynamical dark energy models,we find that some of them,such as the αdark energy,constant w,generalized Chaplygin gas,Chevalliear-Polarski-Linder parametrization,and holographic dark energy models,can provide good fits to the current data,and three of them,namely,the Ricci dark energy,agegraphic dark energy,and Dvali-Gabadadze-Porrati models,are clearly disfavored by the data.

关键词： dark energy models observational constraints model comparison information criteria

Suspended sediment flux of river:Wavelet analysis in the Panlong basin of the Upper Red River (Honghe River),china

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Chinese science Bulletin 2007年第A02期52卷 172-179页

作者： DING WenRong~(1,2.) ZHOU Yue~(1,3) L XiXi~4 1 The Faculty of Environment science and Engineering,Kunming University of science and {2.,Kunming 650093,china 2.College of Tourism and Geography science,Yunnan Normal University,Kunming 650092.china 3 Yunnan University of finance and Economics,Kunming 6502.1,china 4 department of Geography,National University of Singapore 1192.0,Singapore Univ Sci and Technol Kumasi Fac Environm Sci and Engn Kunming 650093 Peoples R China.

这份报纸把小浪分析用于检验变化趋势，多时间规模变化，在上面的红河的 Panlong 盆的推迟的沉积流动(SSF ) 的周期、突然的变化特征，中国。结果显示 SSF 从 1951 ～ 1997 增加了，但是自从 1998，衰退了。SSF 的变化把多时间规模特征... 详细信息

这份报纸把小浪分析用于检验变化趋势，多时间规模变化，在上面的红河的 Panlong 盆的推迟的沉积流动(SSF ) 的周期、突然的变化特征，中国。结果显示 SSF 从 1951 ～ 1997 增加了，但是自从 1998，衰退了。SSF 的变化把多时间规模特征和变化在不同时间时期改变了。三周期的时间规模， 4， 7 和 2. 年，被决定。2. 年的周期的时间规模，是在三次规模之中的最明显的，通过整个研究时期延长了，而第 4-a 7 年的时间规模在某些时间时期仅仅是明显的。分别地有 2. 次越过 4 年的时间规模，越过 7 年的时间规模的 16 次和越过 2. 年的时间规模的 5 次的突然的变化。根据统计的聚会和气候数据分析，我们断定人的活动是导致了多时间规模的 SSF，而是特征的变化趋势的主要原因，周期、突然的变化被气候变化主要影响。

关键词：河流中国红河微波分析