230 citations · 1.9k across the 63 of their papers we have counts for
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math-ph2008★ 140 cited
Pedestrian flows in bounded domains with obstacles
Benedetto Piccoli, Andrea Tosin
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…
math-ph2008★ 187 cited
Time-evolving measures and macroscopic modeling of pedestrian flow
Benedetto Piccoli, Andrea Tosin
This paper deals with the early results of a new model of pedestrian flow, conceived within a measure-theoretical framework. The modeling approach consists in a discrete-time Euler…