CORDIS Project
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This project explores a new mathematical operator that connects classical theories with dynamical systems. It aims to enhance understanding of its analytical properties and potential applications in various fields, including geometry and probability.
This proposal is devoted to the applications of a new hypoelliptic Dirac operator,whose analytic properties have been studied by Lebeau and myself.
Its construction connects classical Hodge theory with the geodesic flow, and more generally any geometrically defined Hodge Laplacian with a dynamical system on the cotangent bundle.
The proper description of this object can be given in analytic, index theoretic and probabilistic terms, which explains both its potential many applications, and also it…
UNIVERSITE PARIS-SUD
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