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The possibility to understand and to quantitatively model the physics of the interactions between pedestrians walking in crowds has compelling relevant applications, e.g. related to the design and safety of civil infrastructures. In this…

Physics and Society · Physics 2018-12-19 Alessandro Corbetta , Jasper Meeusen , Chung-min Lee , Roberto Benzi , Federico Toschi

Pedestrian crowds encompass a complex interplay of intentional movements aimed at reaching specific destinations, fluctuations due to personal and interpersonal variability, and interactions with each other and the environment. Previous…

Physics and Society · Physics 2025-03-10 Caspar A. S. Pouw , Geert G. M. van der Vleuten , Alessandro Corbetta , Federico Toschi

Understanding the complex behavior of pedestrians walking in crowds is a challenge for both science and technology. In particular, obtaining reliable models for crowd dynamics, capable of exhibiting qualitatively and quantitatively the…

Physics and Society · Physics 2018-04-12 Alessandro Corbetta , Luca Bruno , Adrian Muntean , Federico Toschi

As we walk towards our destinations, our trajectories are constantly influenced by the presence of obstacles and infrastructural elements: even in absence of crowding our paths are often curved. Over the last two decades pedestrian dynamics…

Dense pedestrian crowds may pose significant safety risks, yet their underlying dynamics remain insufficiently understood to reliably prevent accidents. In these environments, physical interactions and contact forces fundamentally shape the…

Physics and Society · Physics 2025-05-12 Thomas Chatagnon , Antoine Tordeux , Mohcine Chraibi

Staircases play an essential role in crowd dynamics, allowing pedestrians to flow across large multi-level public facilities such as transportation hubs, and office buildings. Achieving a robust understanding of pedestrian behavior in these…

We consider a kinetic theory approach to model the evacuation of a crowd from bounded domains. The interactions of a person with other pedestrians and the environment, which includes walls, exits, and obstacles, are modeled by using tools…

Numerical Analysis · Mathematics 2019-06-17 Daewa Kim , Annalisa Quaini

We develop predictive models of pedestrian dynamics by encoding the coupled nature of multi-pedestrian interaction using game theory, and deep learning-based visual analysis to estimate person-specific behavior parameters. Building…

Computer Vision and Pattern Recognition · Computer Science 2017-03-29 Wei-Chiu Ma , De-An Huang , Namhoon Lee , Kris M. Kitani

Routing choices of walking pedestrians in geometrically complex environments are regulated by the interplay of a multitude of factors such as local crowding, (estimated) time to destination, (perceived) comfort. As individual choices…

Physics and Society · Physics 2022-10-03 Alessandro Gabbana , Federico Toschi , Philip Ross , Antal Haans , Alessandro Corbetta

In this paper we study a kinetic model for pedestrians, who are assumed to adapt their motion towards a desired direction while avoiding collisions with others by stepping aside. These minimal microscopic interaction rules lead to complex…

Physics and Society · Physics 2018-02-27 Adriano Festa , Andrea Tosin , Marie-Therese Wolfram

In recent years modelling crowd and evacuation dynamics has become very important, with increasing huge numbers of people gathering around the world for many reasons and events. The fact that our global population grows dramatically every…

Physics and Society · Physics 2015-01-28 Mohamed H. Dridi

Extensive research in pedestrian dynamics has primarily focused on crowded conditions and associated phenomena, such as lane formation, evacuation, etc. Several force-based models have been developed to predict the behavior in these…

Physics and Society · Physics 2026-02-11 Kanika Jain , Shankar Prawesh , Indranil Saha Dalal , Anurag Tripathi

In this paper we systematically apply the mathematical structures by time-evolving measures developed in a previous work to the macroscopic modeling of pedestrian flows. We propose a discrete-time Eulerian model, in which the space…

Mathematical Physics · Physics 2009-07-02 Benedetto Piccoli , Andrea Tosin

In animal societies as well as in human crowds, many observed collective behaviours result from self-organized processes based on local interactions among individuals. However, models of crowd dynamics are still lacking a systematic…

Physics and Society · Physics 2009-09-30 Mehdi Moussaid , Dirk Helbing , Simon Garnier , Anders Johansson , Maud Combe , Guy Theraulaz

Understanding and modeling the dynamics of pedestrian crowds can help with designing and increasing the safety of civil facilities. A key feature of crowds is its intrinsic stochasticity, appearing even under very diluted conditions, due to…

Physics and Society · Physics 2017-03-22 Alessandro Corbetta , Chung-min Lee , Roberto Benzi , Adrian Muntean , Federico Toschi

In this paper we propose a novel macroscopic (fluid dynamics) model for describing pedestrian flow in low and high density regimes. The model is characterized by the fact that the maximal density reachable by the crowd - usually a fixed…

Dynamical Systems · Mathematics 2025-04-03 Laura Bartoli , Simone Cacace , Emiliano Cristiani , Roberto Ferretti

Computer-based simulation of pedestrian dynamics reached meaningful results in the last decade, thanks to empirical evidences and acquired knowledge fitting fundamental diagram constraints and space utilization. Moreover, computational…

Multiagent Systems · Computer Science 2016-10-26 Luca Crociani , Daichi Yanagisawa , Giuseppe Vizzari , Katsuhiro Nishinari , Stefania Bandini

Real-life, out-of-laboratory, measurements of pedestrian movements allow extensive and fully-resolved statistical analyses. However, data acquisition in real-life is subjected to the wide heterogeneity that characterizes crowd flows over…

Physics and Society · Physics 2017-07-04 Alessandro Corbetta , Chung-min Lee , Adrian Muntean , Federico Toschi

Ultra-dense crowds, in which physical contact between people cannot be avoided, pose major safety concerns. Nevertheless, the underlying dynamics driving their collective behaviours remain poorly understood. Existing dense crowd models,…

Physics and Society · Physics 2026-01-12 Thomas Chatagnon , Mohcine Chraibi , Julien Pettré , Armin Seyfried , Antoine Tordeux

Data-driven simulation of pedestrian dynamics is an incipient and promising approach for building reliable microscopic pedestrian models. We propose a methodology based on generalized regression neural networks, which does not have to deal…

Physics and Society · Physics 2019-07-19 Rafael F. Martin , Daniel R. Parisi
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