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Nonreciprocal interaction crowd systems, such as human-human, human-vehicle, and human-robot systems, often have serious impacts on pedestrian safety and social order. A more comprehensive understanding of these systems is needed to…

Physics and Society · Physics 2024-04-03 Shaocong Xie , Rui Ye , Xiaolian Li , Zhongyi Huang , Shuchao Cao , Wei Lv , Hong He , Ping Zhang , Zhiming Fang , Jun Zhang , Weiguo Song

Epidemics are emergent phenomena depending on the epidemiological characteristics of pathogens and the interaction and movement of people. Public transit systems have provided much important information about the movement of people, but…

Social and Information Networks · Computer Science 2018-09-24 Zhanwei Du , Chao Gao , Yuan Bai , Yongjian Yang , Petter Holme

We study equilibrium distancing during epidemics. Distancing reduces the individual's probability of getting infected but comes at a cost. It creates a single-peaked epidemic, flattens the curve and decreases the size of the epidemic. We…

General Economics · Economics 2021-03-02 Satoshi Fukuda , Nenad Kos , Christoph Wolf

Social distancing reduces infectious disease transmission by limiting contact frequency and proximity within a community. However, compliance varies due to its impact on daily life. This paper explores the effects of compliance on social…

Optimization and Control · Mathematics 2024-08-27 Hyelim Shin , Taesik Lee

The movement of pedestrians is supposed to show certain regularities which can be best described by an ``algorithm'' for the individual behavior and is easily simulated on computers. This behavior is assumed to be determined by an intended…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing

We experimentally demonstrate that the statistical properties of distances between pedestrians which are hindered from avoiding each other are described by the Gaussian Unitary Ensemble of random matrices. The same result has recently been…

Physics and Society · Physics 2010-02-01 Daniel Jezbera , David Kordek , Jan Kriz , Petr Seba , Petr Sroll

The strategic behaviour of pedestrians is largely determined by how they perceive and react to neighbouring people. This issue is addressed in this paper by a model which combines, in a time and space-dependent way, discrete and continuous…

Physics and Society · Physics 2016-06-23 Annachiara Colombi , Marco Scianna , Andrea Tosin

In human crowds as well as in many animal societies, local interactions among individuals often give rise to self-organized collective organizations that offer functional benefits to the group. For instance, flows of pedestrians moving in…

Random walks and related spatial stochastic models have been used in a range of application areas including animal and plant ecology, infectious disease epidemiology, developmental biology, wound healing, and oncology. Classical random walk…

Populations and Evolution · Quantitative Biology 2025-08-22 Michael J. Plank , Matthew J. Simpson , Ruth E. Baker

Quantitatively modeling the trajectories and behavior of pedestrians walking in crowds is an outstanding fundamental challenge deeply connected with the physics of flowing active matter, from a scientific point of view, and having societal…

Physics and Society · Physics 2020-11-05 Alessandro Corbetta , Lars Schilders , Federico Toschi

Pedestrian crowds often include social groups, i.e. pedestrians that walk together because of social relationships. They show characteristic configurations and influence the dynamics of the entire crowd. In order to investigate the impact…

Physics and Society · Physics 2017-04-05 Cornelia von Krüchten , Andreas Schadschneider

For the modelling of pedestrian dynamics we treat persons as self-driven objects moving in a continuous space. On the basis of a modified social force model we qualitatively analyze the influence of various approaches for the interaction…

Physics and Society · Physics 2007-05-23 Armin Seyfried , Bernhard Steffen , Thomas Lippert

When a large group of pedestrians moves around a corner, most pedestrians do not follow the shortest path, which is to stay as close as possible to the inner wall, but try to minimize the travel time. For this they accept to move on a…

Physics and Society · Physics 2009-05-28 Tobias Kretz

Security plays a crucial role when it comes to planning large events such as concerts, sporting tournaments, pilgrims, or demonstrations. Monitoring and controlling pedestrian dynamics can prevent dangerous situations from occurring.…

Physics and Society · Physics 2025-03-26 Sina Feldmann , Juliane Adrian

Pedestrian studies in retail areas are critical for comfort and convenience in transportation facility designs. But existing literature lacks detailed empirical observations that focus on pedestrian speed variations and their mechanisms in…

Physics and Society · Physics 2023-10-10 Danrui Li

Face-to-face interactions reveal recurring patterns, suggesting the possibility of shared underlying mechanisms. More specifically, inter-contact durations, contact durations and number of contacts per edge share similar heavy-tail…

Physics and Society · Physics 2026-04-02 Juliette Gambaudo , Mathieu Génois

The majority of research on safety in autonomous vehicles has been conducted in structured and controlled environments. However, there is a scarcity of research on safety in unregulated pedestrian areas, especially when interacting with…

Robotics · Computer Science 2025-04-22 Enrico Del Re , Novel Certad , Joshua Varughese , Cristina Olaverri-Monreal

When two pedestrians travelling in opposite directions approach one another, each must decide on which side (the left or the right) they will attempt to pass. If both make the same choice then passing can be completed with ease, while if…

Physics and Society · Physics 2016-05-19 Nickolas A. Morton , Shaun C. Hendy

This study presents an initial framework for distinguishing group and single pedestrians based on real-world trajectory data, with the aim of analyzing their differences in space utilization and emergent behavioral patterns. By segmenting…

Computer Vision and Pattern Recognition · Computer Science 2025-08-27 Amartaivan Sanjjamts , Morita Hiroshi

A simulation model for the dynamic behaviour of pedestrian crowds is mathematically formulated in terms of a social force model, that means, pedestrians behave in a way as if they would be subject to an acceleration force and to repulsive…

Statistical Mechanics · Physics 2007-05-23 D. Helbing , P. Molnar , F. Schweitzer