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Habilitation à diriger des recherches
Geometric and analytic properties of some non-smooth structures
Geometric and analytic properties of some non-smooth structures
Abstract : This work is to give an overview over the research that I've done up to now. The overall idea behind my interests has been that of understanding analytical and geometrical properties of non smooth spaces both from both a theoretical and a practical point of view. The two main classes of spaces on which I focussed are: the Wasserstein space (P2(M),W2) built over a Riemannian manifold, and abstract metric and metric-measure spaces, in particular those with Ricci curvature bounded below.
Mots-clés :
Espace metrique mesure
distance de Wasserstein
Cited literature [36 references]
https://tel.archives-ouvertes.fr/tel-00769381
Contributor : Nicola Gigli <>
Submitted on : Monday, December 31, 2012 - 6:36:46 PM
Last modification on : Monday, October 12, 2020 - 2:28:05 PM
Long-term archiving on: : Sunday, December 18, 2016 - 11:46:11 AM
Contributor : Nicola Gigli <>
Submitted on : Monday, December 31, 2012 - 6:36:46 PM
Last modification on : Monday, October 12, 2020 - 2:28:05 PM
Long-term archiving on: : Sunday, December 18, 2016 - 11:46:11 AM