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Following the paradigm set by attraction-repulsion-alignment schemes, a myriad of individual based models have been proposed to calculate the evolution of abstract agents. While the emergent features of many agent systems have been…

Physics and Society · Physics 2019-05-03 Rafael Bailo , José A. Carrillo , Pierre Degond

Autonomous vehicles (AVs) must share space with pedestrians, both in carriageway cases such as cars at pedestrian crossings and off-carriageway cases such as delivery vehicles navigating through crowds on pedestrianized high-streets. Unlike…

In order to investigate collective effects of interactions between pedestrians and attractions, this study extends the social force model. Such interactions lead pedestrians to form stable clusters around attractions, or even to rush into…

Physics and Society · Physics 2017-09-07 Jaeyoung Kwak , Hang-Hyun Jo , Tapio Luttinen , Iisakki Kosonen

Populations of agents often exhibit surprising collective behavior emerging from simple local interactions. The common belief is that the agents must posses a certain level of cognitive abilities for such an emerging collective behavior to…

Statistical Mechanics · Physics 2025-04-15 M. Andrecut

Self-propelled particles serve as minimal models for emulating the dynamic self-organization of microorganisms, yet most synthetic systems remain limited to a single mode of motion, namely active Brownian particles (ABPs). Here, we present…

We analyze a model of active Brownian particles with non-linear friction and velocity coupling in one spatial dimension. The model exhibits two modes of motion observed in biological swarms: A disordered phase with vanishing mean velocity…

Statistical Mechanics · Physics 2015-05-19 Pawel Romanczuk , Udo Erdmann

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

Reliable pedestrian crash avoidance mitigation (PCAM) systems are crucial components of safe autonomous vehicles (AVs). The nature of the vehicle-pedestrian interaction where decisions of one agent directly affect the other agent's optimal…

Robotics · Computer Science 2022-07-26 Raphael Trumpp , Harald Bayerlein , David Gesbert

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…

In this article an anisotropic interaction model avoiding collisions is proposed. Starting point is a general isotropic interacting particle system, as used for swarming or follower-leader dynamics. An anisotropy is induced by rotation of…

Analysis of PDEs · Mathematics 2020-08-17 Claudia Totzeck

This paper presents a learning-based model of pedestrian flows that integrates multi scale behaviors such as global route selection and local collision avoidance in urban spaces, particularly focusing on pedestrian movements at Shibuya…

Multiagent Systems · Computer Science 2025-12-23 Akihiro Sakurai , Naoya Kajio , Ko Yamamoto

The modelling and simulation of the interaction among vehicles and pedestrians during cross-walking is an open challenge for both research and practical computational solutions supporting urban/traffic decision makers and managers. The…

Multiagent Systems · Computer Science 2016-10-26 Andrea Gorrini , Giuseppe Vizzari , Stefania Bandini

The effectiveness of collective navigation of biological or artificial agents requires to accommodate for contrasting requirements, such as staying in a group while avoiding close encounters and at the same time limiting the energy…

Statistical Mechanics · Physics 2021-08-06 Francesco Borra , Massimo Cencini , Antonio Celani

Pushes, falls, stampedes, and crushes are safety hazards that emerge from the collective motion of crowds, but might be avoided by better design and guidance. While pedestrian dynamics are now getting better understood on the whole, complex…

Physics and Society · Physics 2024-10-18 Chuan-Zhi Thomas Xie , Tie-Qiao Tang , Alexandre Nicolas

Gathering is a fundamental task for multi-agent systems and the problem has been studied under various assumptions on the sensing capabilities of mobile agents. This paper addresses the problem for a group of agents that are identical and…

Multiagent Systems · Computer Science 2020-04-14 Ariel Barel , Thomas Dagès , Rotem Manor , Alfred M. Bruckstein

Understanding how pedestrians adjust their movement when interacting with autonomous vehicles (AVs) is essential for improving safety in mixed traffic. This study examines micro-level pedestrian behaviour during midblock encounters in the…

Physics and Society · Physics 2026-02-11 Rulla Al-Haideri , Bilal Farooq

We conducted numerical simulation for a crowd of pedestrians. Each pedestrian, modeled with three circles, has a shape whose long axis is perpendicular to the anteroposterior axis, and is designed to move fixed destination. The pedestrians…

Physics and Society · Physics 2022-11-24 Sho Yajima , Kiwamu Yoshii , Yutaka Sumino

Scramble intersections stand as compelling examples of complex systems, shedding light on the pressing challenge of urban mobility. In this paper, we introduce a model aimed at unraveling the statistical intricacies of pedestrian crossing…

Physics and Society · Physics 2023-10-04 Eduardo V. Stock , Roberto da Silva

Autonomous vehicles (AVs) must share space with pedestrians, both in carriageway cases such as cars at pedestrian crossings and off-carriageway cases such as delivery vehicles navigating through crowds on pedestrianized high-streets. Unlike…

Computer Vision and Pattern Recognition · Computer Science 2020-08-12 Fanta Camara , Nicola Bellotto , Serhan Cosar , Dimitris Nathanael , Matthias Althoff , Jingyuan Wu , Johannes Ruenz , André Dietrich , Charles W. Fox

An aging population is bringing new challenges to the management of escape routes and facility design in many countries. This paper investigates pedestrian movement properties of crowd with different age compositions. Three pedestrian…

Physics and Society · Physics 2016-08-24 Shuchao Cao , Jun Zhang , Daniel Salden , Jian Ma , Chang'an Shi , Ruifang Zhang