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  KEYWORD

Mean-field limits of entropic multi-population dynamical systems

keywords ENTROPY, FUNCTIONAL ANALYSIS, MULTI-AGENT 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




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