Diffusion of learning models

Abstract: The notion of diffusion of knowledge goes at least as far back to Chapter 1 of the "Pickwick Papers". However, its mathematical modeling in macroeconomics is much more recent. We will discuss some models proposed by R. Lucas and B. Moll about ten years ago. Various versions lead to the mean field games type PDE and also infinite-dimensional optimal control Hamilton-Jacobi problems. We will discuss the little mathematical progress but mostly focus on the modeling and open questions aspects.

differential geometrydynamical systemsgeometric topologysymplectic geometryspectral theory

Audience: researchers in the topic

Geometry and Dynamics seminar

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