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Degree distribution models are incredibly important tools for analyzing and understanding the structure and formation of social networks, and can help guide the design of efficient graph algorithms. In particular, the Power-law degree…

社会与信息网络 · 计算机科学 2011-08-20 Alessandra Sala , Sabrina Gaito , Gian Paolo Rossi , Haitao Zheng , Ben Y. Zhao

Over the last decades, the distribution of income and wealth has been deteriorating in many countries, leading to increased inequalities within and between societies. This tendency has revived the interest in the subject greatly, yet it…

综合金融 · 定量金融 2017-09-22 F. Clementi , M. Gallegati

In the present paper, we identify several distributions from Physics and study their applicability to phenomena such as distribution of income, wealth, and expenditure. Firstly, we apply logistic distribution to these data and we find that…

综合金融 · 定量金融 2016-03-29 Elvis Oltean

We introduce a stochastic model to explain a double power-law distribution which exhibits two different Paretian behaviors in the upper and the lower tail and widely exists in social and economic systems. The model incorporates fitness…

物理与社会 · 物理学 2011-04-25 D. D. Han , J. H. Qian , Y. G. Ma

Across income groups and countries, individual citizens perceive economic inequality spectacularly wrong. These misperceptions have far-reaching consequences, as it is perceived inequality, not actualinequality informing redistributive…

综合经济学 · 经济学 2022-04-05 Jan Schulz , Daniel M. Mayerhoffer , Anna Gebhard

Introduced recently, the concept of hierarchical degree allows a more complete characterization of the topological context of a node in a complex network than the traditional node degree. This article presents analytical characterization…

统计力学 · 物理学 2007-05-23 Matheus Palhares Viana , Luciano da Fontoura Costa

Degree distributions of many real networks are known to follow the Mandelbrot law, which can be considered as an extension of the power law and is determined by not only the power-law exponent, but also the shifting coefficient. Although…

数据分析、统计与概率 · 物理学 2012-02-15 Xue-Zao Ren , Zimo Yang , Bing-Hong Wang , Tao Zhou

Power law degree distribution was shown in many complex networks. However, in most real systems, deviation from power-law behavior is observed in social and economical networks and emergence of giant hubs is obvious in real network…

物理与社会 · 物理学 2013-01-22 A. H. Shirazi , A. Namaki , A. A. Roohi , G. R. Jafari

The dynamics of generalized Lotka-Volterra systems is studied by theoretical techniques and computer simulations. These systems describe the time evolution of the wealth distribution of individuals in a society, as well as of the market…

统计力学 · 物理学 2009-11-07 Ofer Malcai , Ofer Biham , Peter Richmond , Sorin Solomon

There is increasing evidence that dense networks occur in on-line social networks, recommendation networks and in the brain. In addition to being dense, these networks are often also scale-free, i.e. their degree distributions follow…

物理与社会 · 物理学 2018-05-16 Owen T. Courtney , Ginestra Bianconi

Recently several authors have proposed stochastic evolutionary models for the growth of the web graph and other networks that give rise to power-law distributions. These models are based on the notion of preferential attachment leading to…

软凝聚态物质 · 物理学 2007-05-23 Trevor Fenner , Mark Levene , George Loizou

Small-world networks are the focus of recent interest because they appear to circumvent many of the limitations of either random networks or regular lattices as frameworks for the study of interaction networks of complex systems. Here, we…

统计力学 · 物理学 2012-03-08 Luis A. Nunes Amaral , Antonio Scala , Marc Barthelemy , H. Eugene Stanley

We develop a statistical framework for wealth allocation in which agents hold discrete units of wealth and macrostates are defined by how wealth is distributed across agents. The structure of the economic state space is characterized…

物理与社会 · 物理学 2026-02-04 Korak Biswas

Many social, technological and biological interactions involve network relationships whose outcome intimately depends on the structure of the network and on the strengths of the connections. Yet, although much information is now available…

统计力学 · 物理学 2009-11-10 Guido Caldarelli , Fabrizio Coccetti , Paolo De Los Rios

When the probability of measuring a particular value of some quantity varies inversely as a power of that value, the quantity is said to follow a power law, also known variously as Zipf's law or the Pareto distribution. Power laws appear…

统计力学 · 物理学 2019-09-23 M. E. J. Newman

The structure of real-world social networks in large part determines the evolution of social phenomena, including opinion formation, diffusion of information and influence, and the spread of disease. Globally, network structure is…

社会与信息网络 · 计算机科学 2015-01-20 Sidharth Gupta , Xiaoran Yan , Kristina Lerman

One of the best-known models in network science is preferential attachment. In this model, the probability of attaching to a node depends on the degree of all nodes in the population, and thus depends on global information. In many…

物理与社会 · 物理学 2022-09-22 Watson Levens , Alex Szorkovszky , David J. T. Sumpter

Percolation theory can be used to describe the structural properties of complex networks using the generating function formulation. This mapping assumes that the network is locally tree-like and does not contain short-range loops between…

物理与社会 · 物理学 2021-02-03 Peter Mann , V. Anne Smith , John B. O. Mitchell , Simon Dobson

The rate at which nodes in evolving social networks acquire links (friends, citations) shows complex temporal dynamics. Preferential attachment and link copying models, while enabling elegant analysis, only capture rich-gets-richer effects,…

社会与信息网络 · 计算机科学 2017-09-07 Mayank Singh , Rajdeep Sarkar , Pawan Goyal , Animesh Mukherjee , Soumen Chakrabarti

Many real-world networks known as attributed networks contain two types of information: topology information and node attributes. It is a challenging task on how to use these two types of information to explore structural regularities. In…

物理与社会 · 物理学 2019-01-28 Zhenhai Chang , Caiyan Jia , Xianjun Yin , Yimei Zheng