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math.OC2017
Measure differential equations
Benedetto Piccoli
A new type of differential equations for probability measures on Euclidean spaces, called Measure Differential Equations (briefly MDEs), is introduced. MDEs correspond to Probabili…
math.OC2017
Mean-Field Sparse Jurdjevic--Quinn Control
Marco Caponigro, Benedetto Piccoli, Francesco Rossi +1
We consider nonlinear transport equations with non-local velocity, describing the time-evolution of a measure, which in practice may represent the density of a crowd. Such equation…