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We study long-range interacting systems driven by external stochastic forces that act collectively on all the particles constituting the system. Such a scenario is frequently encountered in the context of plasmas, self-gravitating systems,…

Statistical Mechanics · Physics 2013-12-03 Cesare Nardini , Shamik Gupta , Stefano Ruffo , Thierry Dauxois , Freddy Bouchet

Models of threshold driven contagion explain the cascading spread of information, behavior, systemic risk, and epidemics on social, financial and biological networks. At odds with empirical observation, these models predict that…

Physics and Society · Physics 2019-10-23 Samuel Unicomb , Gerardo Iñiguez , János Kertész , Márton Karsai

Time-varying community structures widely exist in various real-world networks. However, the spreading dynamics on this kind of network has not been fully studied. To this end, we systematically study the effects of time-varying community…

Physics and Society · Physics 2017-05-17 Mian-Xin Liu , Wei Wang , Ying Liu , Ming Tang , Shi-Min Cai , Hai-Feng Zhang

Generative diffusion models have achieved spectacular performance in many areas of machine learning and generative modeling. While the fundamental ideas behind these models come from non-equilibrium physics, variational inference and…

Machine Learning · Statistics 2024-06-21 Luca Ambrogioni

Spreading processes on top of active dynamics provide a novel theoretical framework for capturing emerging collective behavior in living systems. I consider run-and-tumble dynamics coupled with coagulation/decoagulation reactions that lead…

Statistical Mechanics · Physics 2025-05-29 Matteo Paoluzzi

Contacts' temporal ordering and dynamics are crucial for understanding the transmission of infectious diseases. We introduce an interaction-driven model of an airborne disease over contact networks. We demonstrate our interaction-driven…

Social and Information Networks · Computer Science 2022-08-11 Alex Abbey , Yanir Marmor , Yuval Shahar , Osnat Mokryn

When exposed to a contagion phenomenon, individuals may respond to the perceived risk of infection by adopting behavioral changes, aiming to reduce their exposure or their risk of infecting others. The social cost of such adaptive behaviors…

Physics and Society · Physics 2026-02-06 Marco Mancastroppa , Márton Karsai , Alain Barrat

Multi-body interactions can reveal higher-order dynamical effects that are not captured by traditional two-body network models. In this work, we derive and analyse models for consensus dynamics on hypergraphs, where nodes interact in groups…

Physics and Society · Physics 2020-04-08 Leonie Neuhäuser , Andrew Mellor , Renaud Lambiotte

Discontinuous phase transitions occurs to be particularly interesting from a social point of view because of their relationship to social hysteresis and critical mass. In this paper, we show that the replacement of a time-varying (annealed,…

Physics and Society · Physics 2022-08-31 Bartłomiej Nowak , Katarzyna Sznajd-Weron

We define and study a class of resources allocation processes where $gN$ agents, by repeatedly visiting $N$ resources, try to converge to optimal configuration where each resource is occupied by at most one agent. The process exhibits a…

Physics and Society · Physics 2015-05-30 Asim Ghosh , Daniele De Martino , Arnab Chatterjee , Matteo Marsili , Bikas K. Chakrabarti

Social reinforcement mechanism, which characterizes the promoting effects when exposing to multiple sources in social contagion process, is ubiquitous in information-technology ecosystem and has aroused great attention in recent years.…

Physics and Society · Physics 2021-07-07 Longzhao Liu , Xin Wang , Shaoting Tang , Hongwei Zheng , Zhiming Zheng

Human social interactions in local settings can be experimentally detected by recording the physical proximity and orientation of people. Such interactions, approximating face-to-face communications, can be effectively represented as time…

Physics and Society · Physics 2020-10-08 Giulia Cencetti , Federico Battiston , Bruno Lepri , Márton Karsai

Threshold-driven models and game theory are two fundamental paradigms for describing human interactions in social systems. However, in mimicking social contagion processes, models that simultaneously incorporate these two mechanisms have…

Physics and Society · Physics 2024-10-22 Xincheng Shu , Man Yang , Zhongyuan Ruan , Qi Xuan

The functionality of an entity frequently necessitates the support of a group situated in another layer of the system. To unravel the profound impact of such group support on a system's resilience against cascading failures, we devise a…

Physics and Society · Physics 2024-08-05 Lei Chen , Chunxiao Jia , Run-Ran Liu , Fanyuan Meng

The studies of collective oscillations induced by higher-order interactions point out the necessity of group effect in coupling modelization. As yet the related advances are mainly concentrated on nonlinear coupling patterns and cannot be…

Adaptation and Self-Organizing Systems · Physics 2022-03-31 Cong Liu , Chong-Yang Wang , Zhi-Xi Wu , Jian-Yue Guan

Understanding how complex behaviors, opinions, and innovations spread in online social networks remains a central challenge in computational social science. Existing models of complex contagion typically rely on stylized threshold…

Social and Information Networks · Computer Science 2026-03-20 Saurabh Sharma , Ambuj Singh

Stochastic renewal processes are ubiquitous across physics, biology, and the social sciences. Here, we show that continuous-time renewal dynamics can naturally produce a mixed discrete-continuous structure, with a macroscopic fraction of…

Statistical Mechanics · Physics 2026-05-21 Ohad Vilk

The spread of ideas across a social network can be studied using complex contagion models, in which agents are activated by contact with multiple activated neighbors. The investigation of complex contagions can provide crucial insights into…

Social and Information Networks · Computer Science 2015-03-19 Sergey Melnik , Jonathan A. Ward , James P. Gleeson , Mason A. Porter

In some systems, the behavior of the constituent units can create a `context' that modifies the direct interactions among them. This mechanism of indirect modification inspired us to develop a minimal model of context-dependent spreading.…

Physics and Society · Physics 2023-06-13 Giulio Burgio , Sergio Gómez , Alex Arenas

Complex networks represent the natural backbone to study epidemic processes in populations of interacting individuals. Such a modeling framework, however, is naturally limited to pairwise interactions, making it less suitable to properly…

Physics and Society · Physics 2021-10-04 Sandeep Chowdhary , Aanjaneya Kumar , Giulia Cencetti , Iacopo Iacopini , Federico Battiston