3 papers
math.AP2021
Kinetic SIR equations and particle limits
Alessandro Ciallella, Mario Pulvirenti, Sergio Simonella
We present and analyze two simple -particle particle systems for the spread of an infection, respectively with binary and with multi-body interactions. We establish a convergenc…
cond-mat.stat-mech2018
Conditional expectation of the duration of the classical gambler problem with defects
A. Ciallella, E. N. M. Cirillo
The effect of space inhomogeneities on a diffusing particle is studied in the framework of the 1D random walk. The typical time needed by a particle to cross a one--dimensional fin…
physics.soc-ph2018
Free to move or trapped in your group: Mathematical modeling of information overload and coordination in crowded populations
A. Ciallella, E. N. M. Cirillo, P. L. Curseu +1
We present modeling strategies that describe the motion and interaction of groups of pedestrians in obscured spaces. We start off with an approach based on balance equations in ter…