In this paper we propose a classification of crowd models in built environments based on the
assumed pedestrian ability to foresee the movements of other walkers. At the same time, we …

In this chapter we review some of the most important models at microscopic, macroscopic,
and mesoscopic scale, which, in our opinion, represent milestones in their respective fields …

Socio-economic sciences are undergoing a great conceptual change. Little by little
economists and sociologists have started to understand the need to introduce new and more …

In this paper we investigate the possibility of reducing the complexity of a system composed
of a large number of interacting agents, whose dynamics feature a symmetry breaking. We …

Traffic flow modeling is typically performed at one of three different scales (microscopic,
mesoscopic, or macroscopic), each with distinct modeling approaches. Recent works that …

We propose a model for self-organized traffic flow at bottlenecks that consists of a scalar
conservation law with a nonlocal constraint on the flux. The constraint is a function of an …

A key problem in modeling and analyzing emergent behaviors in complex systems such as
traffic flows, swarms, and ecosystems, is to identify the appropriate scale at which such …

This thesis is devoted to the treatment of heterogeneity in scalar conservation laws. We call
heterogeneous a conservation law which is not invariant by space translation. These …

In this paper we present a new kind of model for traffic flow which couples a first-order
macroscopic approach with a second-order microscopic approach, avoiding any interface or …

Emergent behaviors in complex systems arise due to the numerous local interactions that
occur between large numbers of individual agents. The observation and quantification of …