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CONSENSUS FORMATION OF TWO-LEVEL OPINION DYNAMICS

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Acta Mathematica Scientia 2014年第4期34卷 1029-1040页

作者： yilun shang SUTD-MIT International Design Center Singapore University of Technology and Design20 Dover Drive138682Singapore

Opinion dynamics have received significant attention in recent years. This paper proposes a bounded confidence opinion model for a group of agents with two different confidence levels. Each agent in the population is endowed with a confidence interval around her opinion wiih radius αd or （1 - α）d, where α∈ （0, 1/2] represents the differentiation of confidence levels. We analytically derived the critical confidence bound dc = 1/（4α） for the two-level opinion dynamics on Z. A single opinion cluster is formed with probability 1 above this critical value regardless of the ratio p of agents with high/low confidence. Extensive numerical simulations are performed to illustrate our theoretical results. Noticed is a clear impact of p on the collective behavior： more agents with high confidence lead to harder agreement. It is also experimentally revealed that the sharpness of the threshold dc increases with a but does not depend on p.

关键词： social dynamics bounded confidence phase transition Monte Carlo simulation

A Note on the Commutativity of Prime Near-rings

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Algebra Colloquium 2015年第3期22卷 361-366页

作者： yilun shang Institute for Cyber Security University of Texas at San Antonio San Antonio Texas 78249 USA

Let N be a prime near-ring. We show two main results on the commutativity of N：（1） If there exist k, l ∈ N such that N admits a generalized derivation D satisfying either D（[x,y]） = xk[x,y]xl for all x,y ∈ N or D（[x,y]） = -xk[x,y]xI for all x,y ∈ N, then N is a commutative ring. （2） If there exist k, l ∈ N such that N admits a generalized derivation D satisfying either D（x o y） = xk（x o y）xl for all x, y ∈ N or D（x o y） = -xk（x o y）xl for all x, y ∈ N, then N is a commutative ring. Moreover, some interesting relations between the prime graph and zero-divisor graph of N are studied.

关键词： near-ring derivation prime graph

Joint probability generating function for degrees of active/passive random intersection graphs

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Frontiers of Mathematics in China 2012年第1期7卷 117-124页

作者： yilun shang Institute for Cyber Security University of Texas at San AntonioSan AntonioTX 78249USA

Correlations of active and passive random intersection graphs are studied in this paper. We present the joint probability generating function for degrees of GactVe（n, re, p） and GPaSSiW（n, re, p）, which are genera... 详细信息

关键词： Random graph intersection graph degree generating function

DISCRETE-TIME EPIDEMIC DYNAMICS WITH AWARENESS IN RANDOM NETWORKS

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International Journal of Biomathematics 2013年第2期6卷 147-153页

作者： yilun shang Institute for Cyber Security University of Texas at San Antonio San Antonio TX 78249 USA

Human behavioral responses fundamentally influence the spread of infectious disease. In this paper, we study a discrete-time SIS epidemic process in random networks. Three forms of individual awareness, namely, local awareness, global awareness and contact awareness, are considered. The effect of awareness is to reduce the risk of infection. [3ased on the stability theory of matrix difference equation, we derive analytically the epidemic threshold. It is found that both local and contact awareness can raise the epidemic threshold, while the global awareness only decreases the epidemic prevalence. Our results are in line with a recent result using differential equation-based methods.

关键词： Epidemic model complex network behavioral response difference equation stability.

A note on the 2-connectivity in one-dimensional ad hoc networks

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Science China(Information Sciences) 2011年第1期54卷 123-128页

作者： shang yilun Department of Mathematics,shanghai Jiao Tong University, shanghai 200240,China Department of Mathematics Shanghai Jiao Tong University Shanghai China

2-connectivity is the basic graph theoretical metric for fault tolerance to node failures,and it is an extremely desirable property in network *** a one-dimensional finite ad hoc network formed by n nodes uniformly and independently distributed in a closed interval[0,z](z∈R+),we give a closed form expression for the probability that a connected one-dimensional finite ad hoc network becomes disconnected after removing a *** also sketch a procedure of finding the exact formula for 2-connectivity in a one-dimensional ad hoc network.

关键词： ad hoc network one-dimensional network 2-connectivity

FINITE-TIME CLUSTER CONSENSUS FOR NETWORKS VIA DISTRIBUTED ITERATIONS

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FINITE-TIME CLUSTER CONSENSUS FOR NETWORKS VIA DISTRIBUTED I...

第十届动力学与控制学术会议

作者： shang yilun Department of Mathematics Tongji University

This paper studies the finite-time cluster average consensus in bidirectional networks. By designing distributed linear iterations involving stochastic matrices consistent with a network topology, we show that cluster average consensus can always be achieved in finite time for bidirectional networks containing cluster-spanning trees. In particular, for a network with n nodes, the cluster average consensus can be achieved in less than n(n-1)/2 steps regardless of the number of different clusters. We develop a detailed algorithm to implement the proposed finite-time cluster average consensus. Numerical simulations on a realistic social network are presented to illustrate the availability of the obtained theoretical results. Moreover, we compare the current approach with the past asymptotical consensus protocols, including those involving external intra-cluster identical inputs. The advantage of finite-time consensus is prominent.

关键词： complex networks cluster consensus multi-agent systems distributed algorithm finite-time

来源： cnki会议评论

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广义稠密随机交集图的度分布(英文)

应用数学 2010年第4期23卷 767-773页

作者：尚轶伦上海交通大学数学系上海200240

广义随机交集图是一类重要的随机图模型,它是E-R随机图的变种,被广泛用于复杂社会网络的研究中.本文研究了在顶点度的期望趋于无穷的情况下,广义随机交集图的度分布.我们对二项模型给出了中心极限定理,并且对一致模型给出了极限定理.

关键词：交集图随机图度分布中心极限定理

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短信营销目标市场挖掘方法的研究

电脑与电信 2013年第8期 63-65页

作者：汤轶伦福州大学物理与信息工程学院福建福州350108

短信一直以来作为通信运营商增值业务收入中最重要的一部分,近年来受到各类OTT业务的冲击,已呈逐年下滑的趋势。本文采用短信业务历史数据挖掘分析,对短信营销的方法进行研究,结合用户使用情况和运营商提供的各类优惠政策,挖掘出可营销... 详细信息

短信一直以来作为通信运营商增值业务收入中最重要的一部分,近年来受到各类OTT业务的冲击,已呈逐年下滑的趋势。本文采用短信业务历史数据挖掘分析,对短信营销的方法进行研究,结合用户使用情况和运营商提供的各类优惠政策,挖掘出可营销案的关键点,为短信业务发展提出可行性方案。

关键词：数据挖掘短信

Effects of carbon content on the microstructure and tensile properties of a low-density steel

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International Journal of Minerals,Metallurgy and Materials 2025年第2期32卷 391-401页

作者： Yongxuan shang Mingyu Fan Shuyong Jiang Zhongwu Zhang Key Laboratory of Superlight Materials and Surface Technology Ministry of EducationCollege of Materials Science and Chemical EngineeringHarbin Engineering UniversityHarbin 150001China State Key Laboratory of Metal Material for Marine Equipment and Application Iron&Steel Research Institute of Ansteel Group CorporationAnshan 114009China

Carbon can change the phase components of low-density steels and influence the mechanical *** this study,a new method to control the carbon content and avoid the formation ofδ-ferrite by decarburization treatment was *** microstructural changes and mechanical characteristics with carbon content induced by decarburization were systematically ***-Jaoul(C-J)analysis was employed to examine the work hardening characteristics during the tensile *** decarburization by heat treatments,the carbon content within the austenite phase decreased,while Mn and Al were almost unchanged;this made the steel with full austenite transform into the austenite and ferrite dual ***,(Ti,V)C carbides existed in both matrix phase and the mole fraction almost the *** addition,the formation of other carbides *** loss induced a decrease in strength due to the weakening of the carbon solid *** the steel with the single austinite,the deformation mode of austenite was the dislocation planar glide,resulting in the formation of *** the dual-phase steel,the deformation occurred by the dislocation planar glide of austenite first,with the increase in strain,the cross slip of ferrite took place,forming dislocation cells in *** the late stage of deformation,the work hardening of austinite increased rapidly,while that of ferrite increased slightly.

关键词： low-density steels carbon content decarburization strengthening mechanisms work hardening behavior