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Complex systems, ranging from soft materials to wireless communication, are often organised as random geometric networks in which nodes and edges evenly fill up the volume of some space. Studying such networks is difficult because they…

Probability · Mathematics 2022-07-19 Ivan Kryven , Rik Versendaal

We study structural properties of trees grown by preferential attachment. In this mechanism, nodes are added sequentially and attached to existing nodes at a rate that is strictly proportional to the degree. We classify nodes by their depth…

Statistical Mechanics · Physics 2009-11-04 E. Ben-Naim , P. L. Krapivsky

In the age of globalization, it is natural that the stock market of each country is not independent form the other markets. In this case, collective behavior could be emerged form their dependency together. This article studies the…

Statistical Finance · Quantitative Finance 2017-03-28 M. Saeedian , T. Jamali , M. Z. Kamali , H. Bayani , T. Yasseri , G. R. Jafari

A majority of studied models for scale-free networks have degree distributions with exponents greater than $2$. Real networks, however, can demonstrate essentially more heavy-tailed degree distributions. We explore two models of scale-free…

Physics and Society · Physics 2016-12-14 Gábor Timár , Sergey N. Dorogovtsev , José Fernando F. Mendes

In search of many social and economical systems, it is found that node strength distribution as well as degree distribution demonstrate the behavior of power-law with droop-head and heavy-tail. We present a new model for the growth of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Chuan-Ji Fu , Qing Ou , Wen Chen , Bing-Hong Wang , Ying-Di Jin , Yong-Wei Niu , Tao Zhou

In this paper we model the tomography of scale free networks by studying the structure of layers around an arbitrary network node. We find, both analytically and empirically, that the distance distribution of all nodes from a specific…

Condensed Matter · Physics 2013-05-29 R. Cohen , D. Dolev , S. Havlin , T. Kalisky , O. Mokryn , Y. Shavitt

In this paper we address the question of the size distribution of firms. To this aim, we use the Bloomberg database comprising multinational firms within the years 1995-2003, and analyze the data of the sales and the total assets of the…

Physics and Society · Physics 2013-09-11 Taisei Kaizoji , Hiroshi Iyetomi , Yuichi Ikeda

Development of stock networks is an important approach to explore the relationship between different stocks in the era of big-data. Although a number of methods have been designed to construct the stock correlation networks, it is still a…

Statistical Finance · Quantitative Finance 2019-06-25 Xue Guo , Hu Zhang , Tianhai Tian

Evolving network models under a dynamic growth rule which comprises the addition and deletion of nodes are investigated. By adding a node with a probability $P_a$ or deleting a node with the probability $P_d=1-P_a$ at each time step, where…

Physics and Society · Physics 2011-08-09 Ke Deng , Ke Hu , Yi Tang

We provide an empirical analysis of the network structure of the Austrian interbank market based on a unique data set of the Oesterreichische Nationalbank (OeNB). We show that the contract size distribution follows a power law over more…

Condensed Matter · Physics 2007-05-23 Michael Boss , Helmut Elsinger , Martin Summer , Stefan Thurner

Recently, there has been a surge of interest in the use of machine learning to help aid in the accurate predictions of financial markets. Despite the exciting advances in this cross-section of finance and AI, many of the current approaches…

Machine Learning · Computer Science 2019-12-02 Daiki Matsunaga , Toyotaro Suzumura , Toshihiro Takahashi

In networks that grow by isotropic redirection (IR), a new node selects an initial target node uniformly at random and attaches to a randomly chosen neighbor of the target. The emerging networks exhibit leaf proliferation, in which the…

Statistical Mechanics · Physics 2026-04-03 Harrison Hartle , P. L. Krapivsky , S. Redner , Yuanzhao Zhang

A number of indications, such as the number of Nobel Prize winners, show Japan to be a scientifically advanced country. However, standard bibliometric indicators place Japan as a scientifically developing country. The present study is based…

Digital Libraries · Computer Science 2023-04-20 Alonso Rodriguez-Navarro , Ricardo Brito

The focus of this work is on estimation of the in-degree distribution in directed networks from sampling network nodes or edges. A number of sampling schemes are considered, including random sampling with and without replacement, and…

Methodology · Statistics 2018-10-03 Nelson Antunes , Shankar Bhamidi , Tianjian Guo , Vladas Pipiras , Bang Wang

We propose a model for evolving networks by merging building blocks represented as complete graphs, reminiscent of modules in biological system or communities in sociology. The model shows power-law degree distributions, power-law…

Statistical Mechanics · Physics 2009-11-11 Kazuhiro Takemoto , Chikoo Oosawa

Employee turnover is a critical challenge in financial markets, yet little is known about the role of professional networks in shaping career moves. Using the Hong Kong Securities and Futures Commission (SFC) public register (2007-2024), we…

Social and Information Networks · Computer Science 2025-09-11 Abdulla AlKetbi , Patrick Yam , Gautier Marti , Raed Jaradat

Various company interactions can be described by networks, for instance the ownership networks and the board membership networks. To understand the ecosystem of companies, these interactions cannot be seen in isolation. For this purpose we…

Physics and Society · Physics 2019-03-27 Jeroen van Lidth de Jeude , Tomaso Aste , Guido Caldarelli

Network growth is currently explained through mechanisms that rely on node prestige measures, such as degree or fitness. In many real networks those who create and connect nodes do not know the prestige values of existing nodes, but only…

Disordered Systems and Neural Networks · Physics 2007-05-23 Santo Fortunato , Alessandro Flammini , Filippo Menczer

The 2008 financial crisis illustrated the need for a thorough, functional understanding of systemic risk in strongly interconnected financial structures. Dynamic processes on complex networks being intrinsically difficult, most recent…

General Finance · Quantitative Finance 2015-08-05 Matteo Smerlak , Brady Stoll , Agam Gupta , James S. Magdanz

Many systems of different nature exhibit scale free behaviors. Economic systems with power law distribution in the wealth is one of the examples. To better understand the working behind the complexity, we undertook an empirical study…

Statistical Finance · Quantitative Finance 2009-11-13 S. C. Wang , J. J. Tseng , C. C. Tai , K. H. Lai , W. S. Wu , S. H. Chen , S. P. Li
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