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physics.soc-ph2025
Modelling vehicle and pedestrian collective dynamics: Challenges and advances
Antoine Tordeux, Cécile Appert-Rolland, Alexandre Nicolas +2
In our urbanised societies, the management and regulation of traffic and pedestrian flows is of considerable interest for public safety, economic development, and the conservation…
physics.soc-ph2024
Mean-Field Games Modeling of Anticipation in Dense Crowds
Matteo Butano, Cécile Appert-Rolland, Denis Ullmo
Understanding and modeling pedestrian dynamics in dense crowds is a complex yet essential aspect of crowd management and urban planning. In this work, we investigate the dynamics o…
physics.soc-ph2024
Modeling of obstacle avoidance by a dense crowd as a Mean-Field Game
Matteo Butano, Thibault Bonnemain, Cécile Appert-Rolland +2
In this paper we use a minimal model based on Mean-Field Games (a mathematical framework apt to describe situations where a large number of agents compete strategically) to simulat…