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Geometric study of Wasserstein spaces and free probability

Objective

The proposed research is divided into two main work packages. The first one is the study of spaces of measures equipped with the optimal transport distance (Wasserstein distance) with a special emphasis on the structure of isometries (surjective distance-preserving maps) and isometric embeddings (not necessarily surjective transformations that preserve the distance) of these spaces. The second work package is devoted to the investigation of measures from the viewpoint of free probability theory. This work package covers three subtopics: the qualitative behaviour of the free convolution, new random matrix ensembles arising from tensor networks, and the study of free Wasserstein spaces.

Call for proposal

H2020-MSCA-IF-2018
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Coordinator

INSTITUTE OF SCIENCE AND TECHNOLOGY AUSTRIA
Address
Am Campus 1
3400 Klosterneuburg
Austria
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 186 167,04