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We investigated the topological properties of stock networks through a comparison of the original stock network with the estimated stock network from the correlation matrix created by the random matrix theory (RMT). We used individual…

Statistical Finance · Quantitative Finance 2008-12-02 Cheoljun Eom , Gapjin Oh , Hawoong Jeong , Seunghwan Kim

In this note we make some specific observations on the distribution of the degree of a given vertex in certain model of randomly growing networks. The rule for network growth is the following. Starting with an initial graph of minimum…

Combinatorics · Mathematics 2014-01-07 Linda Farczadi , Nicholas Wormald

Degree distribution of nodes, especially a power law degree distribution, has been regarded as one of the most significant structural characteristics of social and information networks. Node degree, however, only discloses the first-order…

Social and Information Networks · Computer Science 2010-09-23 Ajay Sridharan , Yong Gao , Kui Wu , James Nastos

Consensus about the universality of the power law feature in complex networks is experiencing profound challenges. To shine fresh light on this controversy, we propose a generic theoretical framework in order to examine the power law…

Physics and Society · Physics 2021-05-24 Xiaojun Zhang , Zheng He , Liwei Zhang , Lez Rayman-Bacchus , Yue Xiao , Shuhui Shen

Many firms these days are opting to specialize rather than generalize as a way of maintaining their competitiveness. Consequently, they cannot rely solely on themselves, but must cooperate by combining their advantages. To obtain the actual…

Social and Information Networks · Computer Science 2010-09-22 Hiroyasu Inoue

We study on topological properties of global supply chain network in terms of degree distribution, hierarchical structure, and degree-degree correlation in the global supply chain network. The global supply chain data is constructed by…

Physics and Society · Physics 2022-01-07 Abhijit Chakraborty , Yuichi Ikeda

Companies are exposed to rigid competition, so they seek how best to improve the capabilities of their innovations. One strategy is to collaborate with other companies in order to speed up their own innovations. Such inter-company…

Physics and Society · Physics 2014-07-04 Hiroyasu Inoue

In a stock market, the price fluctuations are interactive, that is, one listed company can influence others. In this paper, we seek to study the influence relationships among listed companies by constructing a directed network on the basis…

Physics and Society · Physics 2015-06-24 Ya-Chun Gao , Yong Zeng , Shi-Min Cai

We study a social network consisting of over $10^4$ individuals, with a degree distribution exhibiting two power scaling regimes separated by a critical degree $k_{\rm crit}$, and a power law relation between degree and local clustering. We…

Statistical Mechanics · Physics 2009-11-10 Gabor Csanyi , Balazs Szendroi

We carry out a large-scale empirical data analysis to examine the efficiency of the so-called pairs trading. On the basis of relevant three thresholds, namely, starting, profit-taking, and stop-loss for the `first-passage process' of the…

Trading and Market Microstructure · Quantitative Finance 2015-03-20 Mitsuaki Murota , Jun-ichi Inoue

We study the frequency distribution of family names. From a common data base, we count the number of people who share the same family name. This is the size of the family. We find that (i) the total number of different family names in a…

Statistical Mechanics · Physics 2009-10-31 Sasuke Miyazima , Youngki Lee , Tomomasa Nagamine , Hiroaki Miyajima

The complexity of financial markets arise from the strategic interactions among agents trading stocks, which manifest in the form of vibrant correlation patterns among stock prices. Over the past few decades, complex financial markets have…

Statistical Finance · Quantitative Finance 2021-02-02 Areejit Samal , Hirdesh K. Pharasi , Sarath Jyotsna Ramaia , Harish Kannan , Emil Saucan , Jürgen Jost , Anirban Chakraborti

We study the temporal evolution of the structure of the world's largest subway networks in an exploratory manner. We show that, remarkably, all these networks converge to {a shape which shares similar generic features} despite their…

Physics and Society · Physics 2013-02-19 Camille Roth , Soong Moon Kang , Michael Batty , Marc Barthelemy

Networks of companies can be constructed by using return correlations. A crucial issue in this approach is to select the relevant correlations from the correlation matrix. In order to study this problem, we start from an empty graph with no…

Statistical Mechanics · Physics 2009-11-10 J. -P. Onnela , K. Kaski , J. Kertesz

We perform an extended analysis of the distribution of drawdowns in the two leading exchange markets (US dollar against the Deutsmark and against the Yen), in the major world stock markets, in the U.S. and Japanese bond market and in the…

Statistical Mechanics · Physics 2011-04-07 A. Johansen , D. Sornette

Many real networks have cliques as their constitutional units. Here we present a family of scale-free network model consist of cliques, which is established by a simple recursive algorithm. We investigate the networks both analytically and…

Statistical Mechanics · Physics 2007-05-23 Zhongzhi Zhang , Shuigeng Zhou

The presence of hierarchy in many real-world networks is not yet fully explained. Complex interaction networks are often coarse-grain models of vast modular networks, where tightly connected subgraphs are agglomerated into nodes for…

Physics and Society · Physics 2021-02-24 C. Tyler Diggans , Jeremie Fish , Erik Bollt

Empirical evidence suggests that heavy-tailed degree distributions occurring in many real networks are well-approximated by power laws with exponents $\eta$ that may take values either less than and greater than two. Models based on various…

Machine Learning · Statistics 2018-07-10 Benjamin Bloem-Reddy , Adam Foster , Emile Mathieu , Yee Whye Teh

We study the spreading dynamics on graphs with a power law degree distribution p_k ~ k^-gamma with 2<gamma<3, as an example of a branching process with diverging reproductive number. We provide evidence that the divergence of the second…

Disordered Systems and Neural Networks · Physics 2009-11-11 Alexei Vazquez

Financial networks help firms manage risk but also enable financial shocks to spread. Despite their importance, existing models of financial networks have several limitations. Prior works often consider a static network with a simple…

Optimization and Control · Mathematics 2024-02-06 Akhil Jalan , Deepayan Chakrabarti , Purnamrita Sarkar