CORDIS Project
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This project investigates a wide range of dynamical systems using harmonic analysis and partial differential equations. It focuses on weakly hyperbolic systems, exploring their statistical properties, geometric rigidity, and connections to Anosov representations.
The aim of this project is to study a broad class of dynamical systems by using tools from the fields of harmonic analysis and PDEs (semiclassical, microlocal analysis), and to apply these new results to a variety of problems of geometric origin.In a first part, we will mainly focus on systems exhibiting a weak hyperbolic behaviour (partially, non-uniformly hyperbolic systems) for which analytic techniques are far less understood compared to the uniformly hyperbolic setting.
We plan to study sta…
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