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Essential to each other, growth and exploration are jointly observed in populations, be it alive such as animals and cells or inanimate such as goods and money. But their ability to move, crucial to cope with uncertainty and optimize…

Statistical Mechanics · Physics 2020-10-06 Thomas Gueudré , David Martin

The emergence of interconnected urban networks is a crucial feature of globalisation processes. Understanding the drivers behind the growth of such networks - in particular urban firm networks -, is essential for the economic resilience of…

Physics and Society · Physics 2020-09-14 Juste Raimbault , Natalia Zdanowska , Elsa Arcaute

One perspective to view the economic development of cities is through the presence of multinational firms; how subsidiaries of various organizations are set up throughout the globe and how cities are connected to each other through these…

Social and Information Networks · Computer Science 2023-04-13 Mohammed Adil Saleem , Faraz Zaidi , Celine Rozenblat

The persistence of the global climate system is critical for assuring the sustainability of the natural ecosystem and the further development of the prosperity of socio-economics. In this paper, we develop a framework and analyze the time…

Atmospheric and Oceanic Physics · Physics 2024-02-27 Ting Qing , Fan Wang , Qiuyue Li , Gaogao Dong , Lixin Tian , Shlomo Havlin

The rapid worldwide spread of the severe acute respiratory syndrome (SARS) demonstrated the potential threat an infectious disease poses in a closely interconnected and interdependent world. Here we introduce a probabilistic model which…

Disordered Systems and Neural Networks · Physics 2009-11-10 L. Hufnagel , D. Brockmann , T. Geisel

Traditional mathematical models of epidemic disease had for decades conventionally considered static structure for contacts. Recently, an upsurge of theoretical inquiry has strived towards rendering the models more realistic by…

Physics and Society · Physics 2016-01-20 Babak Fotouhi , Mehrdad Khani Shirkoohi

Stability of Wardrop equilibria is analyzed for dynamical transportation networks in which the drivers' route choices are influenced by information at multiple temporal and spatial scales. The considered model involves a continuum of…

Dynamical Systems · Mathematics 2015-03-17 Giacomo Como , Ketan Savla , Daron Acemoglu , Munther A. Dahleh , Emilio Frazzoli

Economic and financial networks play a crucial role in various important processes, including economic integration, globalization, and financial crises. Of particular interest is understanding whether the temporal evolution of a real…

Physics and Society · Physics 2014-05-08 Tiziano Squartini , Diego Garlaschelli

Networks are structures that pervade many natural and man-made phenomena. Recent findings have characterized many networks as not random structures, but as efficent complex formations. Current research has examined complex networks as…

Disordered Systems and Neural Networks · Physics 2007-05-23 Sean P. Gorman , Rajendra Kulkarni

With the emerging of new networks, such as wireless sensor networks, vehicle networks, P2P networks, cloud computing, mobile Internet, or social networks, the network dynamics and complexity expands from system design, hardware, software,…

Social and Information Networks · Computer Science 2013-05-07 Jianguo Ding , Pascal Bouvry

Dynamic network data have become ubiquitous in social network analysis, with new information becoming available that captures when friendships form, when corporate transactions happen and when countries interact with each other. Flexible…

Applications · Statistics 2023-05-16 Yunran Chen , Alexander Volfovsky

The contact structure of the population shapes the progression of epidemics. Nonetheless, the joint evolution of individual behavioral adaptations and disease dynamics on networks remains poorly understood. We use a…

Physics and Society · Physics 2025-08-27 Baltazar Espinoza , Jimmy Calvo-Monge , Fabio Sanchez , Simon A. Levin , Madhav Marathe

Public opinion is often affected by the presence of committed groups of individuals dedicated to competing points of view. Using a model of pairwise social influence, we study how the presence of such groups within social networks affects…

Physics and Society · Physics 2012-04-24 J. Xie , J. Emenheiser , M. Kirby , S. Sreenivasan , B. K. Szymanski , G. Korniss

We present a general model for the growth of weighted networks in which the structural growth is coupled with the edges' weight dynamical evolution. The model is based on a simple weight-driven dynamics and a weights' reinforcement…

Statistical Mechanics · Physics 2009-11-10 Alain Barrat , Marc Barthelemy , Alessandro Vespignani

Cooperation is a key driver of human social progress. Studies of the evolution of cooperation typically assume a deterministic outcome for social interactions. But in real-world social interactions, interaction outcomes are often subject to…

Physics and Society · Physics 2026-04-14 Jiapeng Yu , Anzhi Sheng , Long Wang

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

World models - learned internal simulators of environment dynamics - are rapidly becoming foundational to autonomous decision-making in robotics, autonomous vehicles, and agentic AI. By predicting future states in compressed latent spaces,…

Cryptography and Security · Computer Science 2026-04-08 Manoj Parmar

Network structures in a wide array of systems such as social networks, transportation, power and water distribution infrastructures, and biological and ecological systems can exhibit critical thresholds or tipping points beyond which there…

Node centrality is one of the most important and widely used concepts in the study of complex networks. Here, we extend the paradigm of node centrality in financial and economic networks to consider the changes of node "importance" produced…

Mathematical Finance · Quantitative Finance 2020-06-05 Paolo Bartesaghi , Michele Benzi , Gian Paolo Clemente , Rosanna Grassi , Ernesto Estrada

The topological structure of complex networks has fascinated researchers for several decades, resulting in the discovery of many universal properties and reoccurring characteristics of different kinds of networks. However, much less is…

Social and Information Networks · Computer Science 2017-06-28 Yvonne Anne Pignolet , Matthieu Roy , Stefan Schmid , Gilles Tredan