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Understanding the evolution of cooperation is pivotal in biology and social science. Public resources sharing is a common scenario in the real world. In our study, we explore the evolutionary dynamics of cooperation on a regular graph with…

Populations and Evolution · Quantitative Biology 2024-01-02 Yuxin Geng , Xingru Chen

The citations process for scientific papers has been studied extensively. But while the citations accrued by authors are the sum of the citations of their papers, translating the dynamics of citation accumulation from the paper to the…

We study the evolution of networks when the creation and decay of links are based on the position of nodes in the network measured by their centrality. We show that the same network dynamics arises under various centrality measures, and…

Physics and Society · Physics 2013-05-29 Michael D. Koenig , Claudio J. Tessone

Time evolution of number of species (genera, families, and others), population of them, and size distribution of present ones and life times are studied in terms of a new model, where population of each genetic taxon increases by a (random)…

Populations and Evolution · Quantitative Biology 2007-05-23 Caglar Tuncay

International trade fluxes evolve as countries revise their portfolios of trade products towards economic development. Accordingly products' shares in international trade vary with time, reflecting the transfer of capital between distinct…

Trading and Market Microstructure · Quantitative Finance 2018-01-16 Matthieu Barbier , D. -S. Lee

We discuss, at the macro-level of nations, the contribution of research funding and rate of international collaboration to research performance, with important implications for the science of science policy. In particular, we…

Physics and Society · Physics 2016-09-23 Giulio Cimini , Andrea Zaccaria , Andrea Gabrielli

We present a stylized model with feedback loops for the evolution of a population's wealth over generations. Individuals have both talent and wealth: talent is a random variable distributed identically for everyone, but wealth is a random…

Computer Science and Game Theory · Computer Science 2022-09-16 Krishna Acharya , Eshwar Ram Arunachaleswaran , Sampath Kannan , Aaron Roth , Juba Ziani

The out-degree distribution of citation networks is investigated. Statistical data of the number of papers cited within a paper (out-degree) for different journals in the period 1991-1999 is reported. The out-degree distribution is…

Statistical Mechanics · Physics 2007-05-23 Alexei Vazquez

Science is increasingly global, with international collaboration playing a crucial role in advancing scientific development and knowledge exchange across borders. However, the processes that regulate how scientific labor is distributed…

Digital Libraries · Computer Science 2024-10-18 Lili Miao , Vincent Larivière , Byungkyu Lee , Yong-Yeol Ahn , Cassidy R. Sugimoto

Capital usually leads to income, and income is more accurately and easily measured. Thus we summarize income distributions in USA, Germany, etc.

Economics · Quantitative Finance 2014-09-02 Dietrich Stauffer

In this paper we retrace the recent history of statistics by analyzing all the papers published in five prestigious statistical journals since 1970, namely: Annals of Statistics, Biometrika, Journal of the American Statistical Association,…

Applications · Statistics 2017-09-13 Laura Anderlucci , Angela Montanari , Cinzia Viroli

The co-authorship network of scientists represents a prototype of complex evolving networks. By mapping the electronic database containing all relevant journals in mathematics and neuro-science for an eight-year period (1991-98), we infer…

Soft Condensed Matter · Physics 2009-11-07 A. L. Barabasi , H. Jeong , Z. Neda , E. Ravasz , A. Schubert , T. Vicsek

A theory which describes the share price evolution at financial markets as a continuous-time random walk has been generalized in order to take into account the dependence of waiting times t on price returns x. A joint probability density…

Statistical Mechanics · Physics 2015-06-24 Przemyslaw Repetowicz , Peter Richmond

Computer science has grown rapidly since its inception in the 1950s and the pioneers in the field are celebrated annually by the A.M. Turing Award. In this paper, we attempt to shed light on the path to influential computer scientists by…

General Literature · Computer Science 2021-04-13 Zhongkai Shangguan , Zihe Zheng , Jiebo Luo

The time evolution of Earth with her cities, languages and countries is considered in terms of the multiplicative noise and the fragmentation- processes, where the related families, size distributions, lifetimes, bilinguals, etc. are…

Physics and Society · Physics 2009-11-13 Caglar Tuncay

Using data from co-authorships at the international level in all fields of science in 1990 and 2000, and within six case studies at the sub-field level in 2000, different explanations for the growth of international collaboration in science…

Physics and Society · Physics 2009-11-24 Caroline S. Wagner , Loet Leydesdorff

Empirical evidence demonstrates that citations received by scholarly publications follow a pattern of preferential attachment, resulting in a power-law distribution. Such asymmetry has sparked significant debate regarding the use of…

Digital Libraries · Computer Science 2023-12-04 Diego Kozlowski1 , Jens Peter Andersen , Vincent Larivière

Given the final ranking of a competition, how should the total prize endowment be allocated among the competitors? We study consistent prize allocation rules satisfying elementary solidarity and fairness principles. In particular, we…

Computer Science and Game Theory · Computer Science 2022-09-09 Bas J. Dietzenbacher , Aleksei Y. Kondratev

This paper studies the statistical properties of the web of import-export relationships among world countries using a weighted-network approach. We analyze how the distributions of the most important network statistics measuring…

Physics and Society · Physics 2009-11-13 Giorgio Fagiolo , Javier Reyes , Stefano Schiavo

In a range of scientific coauthorship networks, transitions emerge in degree distributions, correlations between degrees and local clustering coefficients, etc. The existence of those transitions could be regarded as a result of the…

Physics and Society · Physics 2018-06-19 Zheng Xie , Enming Dong , Dongyun Yi , Ouyang Zhenzheng , Jianping Li