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From small steps to great leaps, metaphors of spatial mobility abound to describe discovery processes. Here, we ground these ideas in formal terms by systematically studying scientific knowledge mobility patterns. We use low-dimensional…

Physics and Society · Physics 2023-02-28 Chakresh Kumar Singh , Liubov Tupikina , Fabrice Lécuyer , Michele Starnini , Marc Santolini

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…

Physics and Society · Physics 2011-04-25 D. D. Han , J. H. Qian , Y. G. Ma

Scholarly communications have been rapidly integrated into digitised and networked open ecosystems, where preprint servers have played a pivotal role in accelerating the knowledge transfer processes. However, quantitative evidence is scarce…

Digital Libraries · Computer Science 2023-04-04 Keisuke Okamura

Although higher-order interactions are known to affect the typical state of dynamical processes giving rise to new collective behavior, how they drive the emergence of rare events and fluctuations is still an open problem. We investigate…

Disordered Systems and Neural Networks · Physics 2024-09-09 Leonardo Di Gaetano , Giorgio Carugno , Federico Battiston , Francesco Coghi

Recent research highlighted the scaling property of human and animal mobility. An interesting issue is that the exponents of scaling law for animals and humans in different situations are quite different. This paper proposes a general…

Biological Physics · Physics 2011-11-01 Yanqing Hu , Jiang Zhang , Di Huan , Zengru Di

The power law has been observed in the degree distributions of many biological neural networks. Sparse deep neural networks, which learn an economical representation from the data, resemble biological neural networks in many ways. In this…

Machine Learning · Computer Science 2018-05-08 Lu Hou , James T. Kwok

This study examines long-term trends and shifting behavior in the collaboration network of mathematics literature, using a subset of data from Mathematical Reviews spanning 1985-2009. Rather than modeling the network cumulatively, this…

We consider a dynamic social network model in which agents play repeated games in pairings determined by a stochastically evolving social network. Individual agents begin to interact at random, with the interactions modeled as games. The…

Probability · Mathematics 2007-05-23 Brian Skyrms , Robin Pemantle

Faculty mobility is often understood as a mechanism through which universities redistribute scientific talent and potentially improve research performance. Yet the system-level structure of mobility and its association with individual…

Digital Libraries · Computer Science 2026-05-11 Erjia Yan , Chaoqun Ni

Understanding the structure and evolution of online bipartite networks is a significant task since they play a crucial role in various e-commerce services nowadays. Recently, various attempts have been tried to propose different models,…

Physics and Society · Physics 2015-06-11 C. -X. Zhang , Z. -K. Zhang , C. Liu

We provide a general framework to model the growth of networks consisting of different coupled layers. Our aim is to estimate the impact of one such layer on the dynamics of the others. As an application, we study a scientometric network,…

Physics and Society · Physics 2020-09-16 Vahan Nanumyan , Christoph Gote , Frank Schweitzer

Random walks process on networks plays a fundamental role in understanding the importance of nodes and the similarity of them, which has been widely applied in PageRank, information retrieval, and community detection, etc. Individual's…

Physics and Society · Physics 2021-01-13 Bing Wang , Hongjuan Zeng , Yuexing Han

We found that models of evolving random networks exhibit dynamic scaling similar to scaling of growing surfaces. It is demonstrated by numerical simulations of two variants of the model in which nodes are added as well as removed [Phys.…

Statistical Mechanics · Physics 2009-11-07 Miroslav Kotrla , Frantisek Slanina , Jakub Steiner

We investigate transitions of portals users between different subpages. A weighted network of portals subpages is reconstructed where edge weights are numbers of corresponding transitions. Distributions of link weights and node strengths…

Physics and Society · Physics 2015-05-13 Anna M. Chmiel , Kamila Kowalska , Janusz A. Holyst

Human behaviors, including scientific activities, are shaped by the hierarchical divisions of geography. As a result, researchers' mobility patterns vary across regions, influencing several aspects of the scientific community. These aspects…

Physics and Society · Physics 2024-04-03 Yurui Huang , Langtian Ma , Chaolin Tian , Xunyi Jiang , Roberta Sinatra , Yifang Ma

For the 100 largest European universities we studied the statistical properties of bibliometric indicators related to research performance, field citation density and journal impact. We find a size-dependent cumulative advantage for the…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Anthony F. J. van Raan

Science is a growing system, exhibiting ~4% annual growth in publications and ~1.8% annual growth in the number of references per publication. Combined these trends correspond to a 12-year doubling period in the total supply of references,…

Digital Libraries · Computer Science 2019-12-17 Raj K. Pan , Alexander M. Petersen , Fabio Pammolli , Santo Fortunato

Keywords in scientific articles have found their significance in information filtering and classification. In this article, we empirically investigated statistical characteristics and evolutionary properties of keywords in a very famous…

Data Analysis, Statistics and Probability · Physics 2009-06-23 Zike Zhang , Linyuan Lv , Jian-Guo Liu , Tao Zhou

Decisions to pursue higher education are not fully explained by economic incentives, with social influence and peer effects playing a crucial, yet dynamically understudied, role. This paper develops a theoretical non-linear dynamics model…

General Economics · Economics 2026-04-06 Andrea Caravaggio , Marco Catola , Silvia Leoni

The representation of science as a citation-density landscape and the study of scaling rules with the field-specific citation-density as a main topological property was previously analysed at the level of research groups. Here the focus is…

Physics and Society · Physics 2008-03-10 Rodrigo Costas , Maria Bordons , Thed N. van Leeuwen , Anthony F. J. van Raan
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