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.

Fields of science

• natural sciences › mathematics › applied mathematics › statistics and probability

Programme(s)

• H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility

Topic(s)

• MSCA-IF-2018 - Individual Fellowships

Call for proposal

H2020-MSCA-IF-2018
See other projects for this call

Funding Scheme

MSCA-IF-EF-ST - Standard EF

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