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Dynamic aggregation evolution of competitive societies of cooperative and noncooperative agents

Chinese Physics B 2013年第5期22卷 572-586页

作者：林振权叶高翔 department of Physics Zhejiang University department of Physics Wenzhou University department of Physics Hangzhou Normal University

We propose an evolution model of cooperative agent and noncooperative agent aggregates to investigate the dynamic evolution behaviors of the system and the effects of the competing microscopic reactions on the dynamic evolution. In this model, each cooperative agent and noncooperative agent are endowed with integer values of cooperative spirits and nonco- operative spirits, respectively. The cooperative spirits of a cooperative agent aggregate and the noncooperative spirits of a noncooperative agent aggregate change via four competing microscopic reaction schemes： the win-win reaction between two cooperative agents, the lose-lose reaction between two noncooperative agents, the win-lose reaction between a coop- erative agent and a noncooperative agent （equivalent to the migration of spirits from cooperative agents to noncooperative agents）, and the cooperative agent catalyzed decline of noncooperative spirits. Based on the generalized Smoluchowski＇s rate equation approach, we investigate the dynamic evolution behaviors such as the total cooperative spirits of all coop- erative agents and the total noncooperative spirits of all noncooperative agents. The effects of the three main groups of competition on the dynamic evolution are revealed. These include：（i） the competition between the lose-lose reaction and the win-lose reaction, which gives rise to respectively the decrease and increase in the noncooperative agent spirits; （ii） the competition between the win-win reaction and the win-lose reaction, which gives rise to respectively the increase and decrease in the cooperative agent spirits; （iii） the competition between the win-lose reaction and the catalyzed-decline reaction, which gives rise to respectively the increase and decrease in the noncooperative agent spirits.

关键词： dynamic evolution in competitive societies cooperative and noncooperative agents win-win andlose-lose reaction win-lose reaction

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ON WEIGHTED L^p INTEGRABILITY AND APPROXIMATION OF TRIGONOMETRIC SERIES

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Analysis in Theory and Applications 2009年第1期25卷 40-54页

作者： Baorong Wei and Dansheng Yu department of mathematics hangzhou normal University hangzhou, 310036P. R. china department of mathematics hangzhou normal University hangzhou, 310036 P. R. china and department of mathematics Statistics and Computer Sciences St Franics Xaiver University Antigonish, Nova ScotiaCanada B2G 2w5 department of mathematics Hangzhou Normal University Hangzhou P. R. China department of mathematics Statistics and Computer Sciences St Franics Xaiver University Antigonish Canada

We generalize several classical results on the integrability of trigonometric series and relations among the best approximation and the coefficients of trigonometric series. Theorem 3 and Theorem 4 are the first resul... 详细信息

关键词： weighted Lp integrability best approximation modulus of continuity

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Lp-dual Quermassintegral sums

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Science china mathematics 2007年第9期50卷 1347-1360页

作者： Chang-jian ZHAO department of Information and mathematics Sciences,college of Science,china Jiliang University,hangzhou 310018,china department of Information and mathematics Sciences College of Science China Jiliang University Hangzhou China

In this paper,we first introduce a concept of L_p-dual Quermassintegral sum function of convex bodies and establish the polar projection Minkowski inequality and the polar projection Aleksandrov-Fenchel inequality for L_p-dual Quermassintegral ***,by using Lutwak’s width-integral of index i,we establish the L_p-Brunn-Minkowski inequality for the polar mixed projec- tion *** applications,we prove some interrelated results.

关键词： mixed volumes mixed projection bodies dual Quermassintegral sum polar of mixed projection bodies 52A40 53A15

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A New (t, n) Threshold Signature Scheme Withstanding the Conspiracy Attack

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Wuhan University Journal of Natural Sciences 2005年第1期10卷 107-110页

作者： XIE Qi 1,2, YU Xiu-yuan 3 1.department of mathematics, Zhejiang University, hangzhou 310027, Zhejiang,china 2.School of Information and Engineering, hangzhou Teachers college, hangzhou 310012, Zhejiang, china 3.hangzhou Teachers college, hangzhou 310012, Zhejiang, china Dept. of Math. Zhejiang Univ. Hangzhou 310027 China Sch. of Info. and Eng. Hangzhou Teachers Coll. Hangzhou 310012 China hangzhou Teachers Coll. Hangzhou 310012 China

A ccmspiracy attack is proposed to show that Wang-Li's scheme is instcure,because any t or more group members can impersonate other t member to sign any message withoutholding the responsibility. To avoid the conspiracy attack, this paper prestentsa new (t,n)threshold signature scheme with traceablt signers. A (t. n) threshold signature scheme allows t ormore group members of the group lo generate a signature on behalf of the group, Any less than tmembers cannot generate a valid signature, andany set of the group cannot impersonate another set ofmembers to sign any message without holding the responsibility. In case of disputes., the thresholdsignature can be opened, so that the original signers ean be traced without repealing the secretkeys.

关键词： cryptography threshold signature conspiracy attack identifier tracing

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ON THE GENERALIZED INVERSE NEVILLE-TYPE MATRIX-VALUED RATIONAL INTERPOLANTS

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Journal of Computational mathematics 2003年第2期21卷 157-166页

作者： Zhibing Chen9+(department of mathematics, normal college, Shenzhen University, Shenzhen 518060, china) department of mathematics Normal College Shenzhen University Shenzhen 518060

A new kind of matrix-valued rational interpolants is recursively established by means of generalized Samelson inverse for matrices, with scalar numerator and matrix-valued denominator. In this respect, it is essentially different from that of the previous works [7, 9], where the matrix-valued rational interpolants is in Thiele-type continued fraction form with matrix-valued numerator and scalar denominator. For both univariate and bivariate cases, sufficient conditions for existence, characterisation and uniqueness in some sense are proved respectively, and an error formula for the univariate interpolating function is also given. The results obtained in this paper are illustrated with some numerical examples.

关键词： Generalized inverse for matrices Neville-type Rational interpolants.

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THE DIVERGENCE OF LAGRANGE INTERPOLATION IN EQUIDISTANT NODES

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Analysis in Theory and Applications 2003年第2期19卷 160-165页

作者： Lu Zhikang and Xia Mao (hangzhou Teacher’s college, china)department of mathematics hangzhou Teacher’s college hangzhou,310012 P.R.china hangzhou Teacher's college Hangzhou China

It is a classical result of Bernstein that the sequence of Lagrange interpolation polynomials to \x\ at e-qually spaced nodes in [-1.1] diverges everywhere. except at zero and the end-points. In this paper we show that the sequence of Lagrange interpolation polynomials corresponding to the functions which possess better smoothness on equidistant nodes in [-1.1] still diverges every -where in the interval except at zero and the end-points.

关键词： lagrange interpolation equidistant nodes divergence

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A Sufficient Condition for a Smash Product as a Transfinite Left Free normalizing Extension and Its Application

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Acta Mathematica Sinica,English Series 2000年第1期16卷 71-78页

作者： Fang Li department of mathematics,Zhejiang University Xixi Campus,hangzhou 310028,P.R.chinaZhongkui Liu department of mathematics,Northwest normal University,Lanzhou 730070,P.R.china 浙江大学浙江杭州 310028 西北师范大学甘肃兰州 730070

In this paper,a sufficient condition is given under which the smash product A#H is a transfinite *** normalizing extension of an algebra ***,the result is applied to a skew semigroup ring,a skew group ring and the qua... 详细信息

关键词： Smash product Transfinite left free normalizing extension Skew semigroup ring Quantum group

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Littlewood-Paley operators with variable kernels

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Science china mathematics 2006年第5期49卷 639-650页

作者： CHEN Jiecheng, DING Yong & FAN Dashan department of mathematics, Zhejiang University (Xixi Campus), hangzhou 310028, china School of Mathematical Sciences, Beijing normal University, Beijing 100875, china department of mathematics, University of Wisconsin-Milwaukee, Milwaukee WI 53201, USA department of mathematics, Central china normal University, Wuhan 430074, china department of mathematics Zhejiang University (Xixi Campus) Hangzhou China School of Mathematical Sciences Beijing Normal University Beijing China department of mathematics University of Wisconsin-Milwaukee Milwaukee USA department of mathematics Central China Normal University Wuhan China

In this paper we study a certain directional Hilbert transform and the boundedness on some mixed norm spaces. As one of applications, we prove the Lp-boundedness of the Littlewood-Paley operators with variable kernels... 详细信息

关键词： directional Hilbert transform, Sobolev spaces, Littlewood-Paley operator,variable kernel.

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User-controllable mesh segmentation using shape harmonic signature

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Progress in Natural Science:Materials International 2009年第4期19卷 471-478页

作者： Yongwei Miao a,b, Jieqing Fenga, Jinrong Wanga,c, Xiaogang Jin a a State Key Laboratory of CAD & CG, Zhejiang University, hangzhou 310027, china b college of Science, Zhejiang University of Technology, hangzhou 310032, china c Information Science & Engineering School, hangzhou normal University, hangzhou 310036, china State Key Laboratory of CAD & CG Zhejiang University Hangzhou 310027 China college of Science Zhejiang University of Technology Hangzhou 310032 China Information Science & Engineering School Hangzhou Normal University Hangzhou 310036 China

Due to different shape modeling applications, partitioning a given complex 3D mesh model into some patches or meaningful subparts is one of the fundamental problems in digital geometry processing. By using the high-dimensional mean-shift clustering scheme in shape signature space, a new method is proposed which can generate user-specified segmentation results automatically for different applications. The shape signature is composed of mesh geometric attributes and its spectral harmonics. The latter one can reflect mesh frequency spectrum information. The low frequency components are essential for semantics-oriented segmentation, while the high frequency components are important for purely geometry-oriented segmentation. The effects of the proposed method are demonstrated by several examples.

关键词： Mesh segmentation Manifold harmonic analysis Shape harmonic signature Mean-shift clustering

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Weighted composition operators between μ-Bloch spaces on the unit ball

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Science china mathematics 2005年第10期48卷 1349-1368页

作者： ZHANG Xuejun~1 & XIAO Jianbin~2 1. college of mathematics and Computer Science,Hunan normal University,Changsha 410006,china(email:xuejunttt@263. net) 2. The School of Science,hangzhou Dianzi University,hangzhou 310037,china college of mathematics and Computer Science Hunan Normal University Changsha China The School of Science Hangzhou Dianzi University Hangzhou China

In this paper,necessary and sufficient conditions are given for the weighted composition operator T_(ψ,ψ) to be bounded or compact from the space β_μ to β_ν (or β_(μ,0) to β_(ν,0) ) on the unit ball of C^***... 详细信息

关键词： μ-Bloch space, weighted composition operator, boundedness, compactness.

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