278 citations · 3.1k across the 101 of their papers we have counts for
7 papers · 1 filter
Time-delayed Follow-the-Leader model for pedestrians walking in line
Jérôme Fehrenbach, Jacek Narski, Jiale Hua +6
We use the results of a pedestrian tracking experiment to identify a follow-the-leader model for pedestrians walking-in-line. We demonstrate the existence of a time-delay between a…
Meanfield games and model predictive control
Pierre Degond, Michael Herty, Jian-Guo Liu
Mean-Field Games are games with a continuum of players that incorporate the time-dimension through a control-theoretic approach. Recently, simpler approaches relying on the Best Re…
Self-organized Hydrodynamics in an Annular Domain: Modal Analysis and Nonlinear Effects
Pierre Degond, Hui Yu
The Self-Organized Hydrodynamics model of collective behavior is studied on an annular domain. A modal analysis of the linearized model around a perfectly polarized steady-state is…
Macroscopic models of collective motion with repulsion
Pierre Degond, Giacomo Dimarco, Thi Bich Ngoc Mac +1
We study a system of self-propelled particles which interact with their neighbors via alignment and repulsion. The particle velocities result from self-propulsion and repulsion by…
A Boltzmann model for rod alignment and schooling fish
Eric a. Carlen, Maria C. Carvalho, Pierre Degond +1
We consider a Boltzmann model introduced by Bertin, Droz and Greegoire as a binary interaction model of the Vicsek alignment interaction. This model considers particles lying on th…
Evolution of wealth in a nonconservative economy driven by local Nash equilibria
Pierre Degond, Jian-Guo Liu, Christian Ringhofer
We develop a model for the evolution of wealth in a non-conservative economic environment, extending a theory developed earlier by the authors. The model considers a system of rati…