230 citations · 1.9k across the 63 of their papers we have counts for
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Existence and approximation of probability measure solutions to models of collective behaviors
Andrea Tosin, Paolo Frasca
In this paper we consider first order differential models of collective behaviors of groups of agents based on the mass conservation equation. Models are formulated taking the spat…
Multiscale modeling of granular flows with application to crowd dynamics
Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin
In this paper a new multiscale modeling technique is proposed. It relies on a recently introduced measure-theoretic approach, which allows to manage the microscopic and the macrosc…
Non-local first-order modelling of crowd dynamics: a multidimensional framework with applications
Luca Bruno, Andrea Tosin, Paolo Tricerri +1
In this work a physical modelling framework is presented, describing the intelligent, non-local, and anisotropic behaviour of pedestrians. Its phenomenological basics and constitut…