CORDIS Project
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This research project aims to derive macroscopic laws governing physical systems from microscopic particle dynamics. It focuses on stochastic partial differential equations, particularly the KPZ equation, to understand universal behaviors in fluctuating systems and to explore new mathematical models.
A classical problem in the field of interacting particle systems (IPS) is to derive the macroscopic laws of the thermodynamical quantities of a physical system by considering an underlying microscopic dynamics which is composed of particles that move according to some prescribed stochastic, or deterministic, law.
The macroscopic laws can be partial differential equations (PDE) or stochastic PDE (SPDE) depending on whether one is looking at the convergence to the mean or to the fluctuations aroun…
INSTITUTO SUPERIOR TECNICO
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