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There are 16 papers published in subject: > since this site started. |
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1. Position diversity in dependence network increases individual economic production | |||
XIE Wen-Jie,Yang Yan-Hong,JIANG Zhi-Qiang,Zhou Wei-Xing | |||
Physics 24 May 2016 | |||
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Abstract:The availability of big data recorded from massively multiplayer online role-playing game (MMORPG) allow us to gain a deeper understanding the potential connection between avatar's network positidon and their economic production. We use a statistical filtering method to construct dependence networks from weighted friendship networks of avatars. We identify 30 distinct motif positions in the 13 directed triadic motifs which represent microscopic dependence among avatars. Based on structural similarity of motif positions, we further classify avatars into different groups. The node position diversity of avatars is found to be positively correlated with their economic production. We also find that the economic production of leaf nodes are significantly lower than that of the other nodes in the same motif. Our findings shed light on understanding the influence of network structure on economic activities and production in social system. | |||
TO cite this article:XIE Wen-Jie,Yang Yan-Hong,JIANG Zhi-Qiang, et al. Position diversity in dependence network increases individual economic production[OL].[24 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4692010 |
2. Two-state Markov-chain Poisson nature of individual cellphone call statistics | |||
JIANG Zhi-Qiang,Zhou Wei-Xing | |||
Physics 08 May 2016 | |||
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Abstract:Unfolding the burst patterns in human activities and social interactions is a very important issue especially for understanding the spreading of disease and information and the formation of group and organization. Here, we conduct an in-depth study of the temporal patterns of cellphone conversation activities of 73,339 anonymous cellphone users, whose inter-call durations are Weibull distributed. We find that the individual call events exhibit a pattern of bursts, that high activity periods are alternated with low activity periods. In both periods, the number of calls are exponential distributed for individuals, but power-law distributed for the population. Together with the exponential distributions of inter-call durations within bursts and of the intervals between consecutive bursts, we demonstrate that the individual call activities are driven by two independent Poisson processes, which can be combined within a minimal model in terms of a two-state first-order Markov chain, giving significant fits for nearly half of the individuals. By measuring directly the distributions of call rates across the population, which exhibit power-law tails, we purport the existence of power-law distributions, via the "Superposition of Distributions" mechanism. Our findings shed light on the origins of bursty patterns in other human activities. | |||
TO cite this article:JIANG Zhi-Qiang,Zhou Wei-Xing. Two-state Markov-chain Poisson nature of individual cellphone call statistics[J]. |
3. The stochastic dynamical theory for the complex systems with power-law distributions | |||
Du Jiulin | |||
Physics 20 November 2015 | |||
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Abstract:The stochastic dynamical theory for the systems with power-law distributions has been discussed by means of using the Langevin equations with inhomogeneous friction and noise and the corresponding Fokker-Planck equations. The power-law distributions and the generalized fluctuation-dissipation relation under which these distributions can be generated in a complex system away from equilibrium have been found. And simultaneously, the Klein-Kramers equation and the Smoluchowski equation have been generalized to the dynamical systems with the solutions of power-law distributions. The numerical analyses have shown the power-law distributions all excellently fitting with the solutions of the dynamics of the Langevin equations. | |||
TO cite this article:Du Jiulin. The stochastic dynamical theory for the complex systems with power-law distributions[OL].[20 November 2015] http://en.paper.edu.cn/en_releasepaper/content/4661711 |
4. Geometric structure of percolation clusters | |||
XU Xiao, WANG Jun-Feng, Zhou Zong-Zheng, Timothy M. Garoni, Deng You-Jin | |||
Physics 30 December 2013 | |||
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Abstract:We investigate the geometric properties of percolation clusters, by studying square-lattice bond percolation on the torus. We show that the density of bridges and nonbridges both tend to 1/4 for large system sizes. Using Monte Carlo simulations, we study the probability that a given edge is not a bridge but has both its loop arcs in the same loop, and find that it is governed by the two-arm exponent. We then classify bridges into two types: branches and junctions. A bridge is a {em branch} iff at least one of the two clusters produced by its deletion is a tree. Starting from a percolation configuration and deleting the branches results in a {em leaf-free} configuration, while deleting all bridges produces a bridge-free configuration. Although branches account for $pprox 43%$ of all occupied bonds, we find that the fractal dimensions of the cluster size and hull length of leaf-free configurations are consistent with those for standard percolation configurations. By contrast, we find that the fractal dimensions of the cluster size and hull length of bridge-free configurations are respectively given by the backbone and external perimeter dimensions. We estimate the backbone fractal dimension to be $1.643,36(10)$. | |||
TO cite this article:XU Xiao, WANG Jun-Feng, Zhou Zong-Zheng, et al. Geometric structure of percolation clusters[J]. |
5. Simultaneous analysis of three-dimensional percolation models | |||
XU Xiao,WANG Jun-Feng, LV Jian-Ping, Deng You-Jin | |||
Physics 27 December 2013 | |||
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Abstract:We simulate the bond and site percolation models on several three-dimensional lattices,including the diamond, body-centered cubic, and face-centered cubic lattices.As on the simple-cubic lattice [Phys. Rev. E, extbf{87} 052107 (2013)],it is observed that in comparison with dimensionless ratios based on cluster-size distribution,certain wrapping probabilities exhibit weaker finite-size corrections and are more sensitiveto the deviation from percolation threshold $p_c$, and thus provide a powerful means for determining $p_c$.We analyze the numerical data of the wrapping probabilitiessimultaneously such that universal parameters are shared by the aforementioned models, andthus significantly improved estimates of $p_c$ are obtained. | |||
TO cite this article:XU Xiao,WANG Jun-Feng, LV Jian-Ping, et al. Simultaneous analysis of three-dimensional percolation models[J]. |
6. Computation of growth rates of random sequences with multi-step memory | |||
Zhang Chenfei ,Lan Yueheng | |||
Physics 29 January 2013 | |||
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Abstract:We extend the generating functionapproach to the computation of growth rate of random Fibonaccisequences with long memory. Functional iteration equations areobtained and its general form is conjectured, based on which anasymptotic representation of the growth rate is obtained. Thevalidity of both the derived and the conjectured formula areverified upon comparison with Monte Carlo simulation. A numericalscheme of the functional iteration is designed and implemented successfully. | |||
TO cite this article:Zhang Chenfei ,Lan Yueheng . Computation of growth rates of random sequences with multi-step memory[OL].[29 January 2013] http://en.paper.edu.cn/en_releasepaper/content/4517564 |
7. Accelerating cycle expansions by dynamical conjugacy | |||
Ang Gao,Jianbo Xie,Yueheng Lan | |||
Physics 12 October 2011 | |||
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Abstract:Periodic orbit theory provides two important functions---the dynamical zeta function and the spectral determinant for the calculation of dynamical averages in a nonlinear system. Their cycle expansions converge rapidly when the system is uniformly hyperbolic but greatly slowed down in the presence of non-hyperbolicity. We find that the slow convergence can be associated with singularities in the natural measure. A properly designed coordinate transformation may remove these singularities and results in a dynamically conjugate system where fast convergence is restored. The technique is successfully demonstrated on several examples of one-dimensional maps and some remaining challenges are discussed. | |||
TO cite this article:Ang Gao,Jianbo Xie,Yueheng Lan. Accelerating cycle expansions by dynamical conjugacy[OL].[12 October 2011] http://en.paper.edu.cn/en_releasepaper/content/4445648 |
8. The heterogenous models of the AS-level Internet may not fit to sustain its functioning | |||
Fan Zhengping | |||
Physics 27 December 2010 | |||
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Abstract:A variety of topological metrics have been proposed to determine whether or not a proposed model is suitable for modeling the AS-level Internet topology, which have led to a common belief that the average degree, degree distribution and joint degree distribution are sufficient for reproducing most fundamental structural characteristics. Rather than discussing such structural characteristics, in this paper we focus on the performance comparison of different AS-level Internet models, which allows us to determine whether or not the currently proposed AS-level Internet models can sustain a certain Internet function of interest. By taking the network performances in resisting random failures and intentional attacks as an indicator, we show that some models with almost same values in their average degree, degree distribution and joint degree distribution can exhibit very different behaviors. Our findings provide good insights on how to improve the resistibility of the Internet and a complex heterogeneous network in general. More importantly, our observations suggest that there are risks when applying new protocols and algorithms to the real Internet. | |||
TO cite this article:Fan Zhengping. The heterogenous models of the AS-level Internet may not fit to sustain its functioning[OL].[27 December 2010] http://en.paper.edu.cn/en_releasepaper/content/4396855 |
9. Cooperative Behavior in a Model of Evolutionary Snowdrift Games with N-person Interactions | |||
Zheng Dafang,Yin Haiping,Chan ChunH,Hui Poming | |||
Physics 26 March 2010 | |||
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Abstract:We propose a model of evolutionary snowdrift game with $N$-person interactions and study the effects of multi-person interactions on the emergence of cooperation. An exact $N$-th-order equation for the equilibrium density of cooperators $x^*$ is derived for a well-mixed population using the approach of replicator dynamics. The results show that the extent of cooperation drops with increasing cost-to-benefit ratio and the number $N$ of interaction persons in a group, with $x^{*}sim1/N$ for large $N$. An algorithm for numerical simulations is constructed for the model. The simulation results are in good agreements with theoretical results of the replicator dynamics. | |||
TO cite this article:Zheng Dafang,Yin Haiping,Chan ChunH, et al. Cooperative Behavior in a Model of Evolutionary Snowdrift Games with N-person Interactions[OL].[26 March 2010] http://en.paper.edu.cn/en_releasepaper/content/41218 |
10. Effect of spatial rather than temporal complexity on ecosystems | |||
Li Dong,M. C. Cross,Zheng Zhigang | |||
Physics 11 February 2010 | |||
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Abstract:We investigate the role of spatial and temporal complexity on the biomass of diffusive Gause-Lotka-Volterra systems. We find that the average total biomass is insensitive to the temporal complexity. On the other hand increasing diffusion leads to a decrease of the biomass as the spatial complexity plays an important role. At large values of the diffusion the spatial complexity saturates. We understand this region by a scaling analysis of the evolution equations. We propose that investigating the periodic windows that are typically interspersed in chaotic parameter regions is a useful test of the importance of temporal complexities. | |||
TO cite this article:Li Dong,M. C. Cross,Zheng Zhigang. Effect of spatial rather than temporal complexity on ecosystems[OL].[11 February 2010] http://en.paper.edu.cn/en_releasepaper/content/40173 |
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