Mean-field limits of entropic multi-population dynamical systems
Reference persons MARCO MORANDOTTI
External reference persons Prof. Francesco Solombrino (UniversitÓ di Napoli "Federico II")
Research Groups Analisi non lineare e calcolo delle variazioni
Thesis type RESEARCH
Description Mean-field limits for entropic multi-agent dynamical systems are studied. The well-posedness of the dynamical system is proves, which implies existence and uniqueness of solutions. The stability estimates allow one to pass to the mean-field limit, and therefore from the particle lagrangian description of the discrete multi-agent system to the eulerian one for the distribution of agents with labels. Advanced techniques from functional analysis, probability theory, and dynamical systems in infinite-dimensional spaces are used, including the sophisticated superposition principle in the probabilistic setting.
Required skills functional analysis, probability theory, and dynamical systems in infinite-dimensional spaces
Deadline 28/02/2023 PROPONI LA TUA CANDIDATURA