Project description DEENESFRITPL Geometry of Wasserstein spaces under study The transport theory that was formalised by the French mathematician Gaspard Monge in 1781 explores the optimal transport and allocation of resources. The theory has since then found application in a number of fields, including mathematical physics and probability theory. Funded by the Marie Skłodowska-Curie Actions programme, the GWFP project will study the metric structure of classical Wasserstein spaces (which provide a metric on a space of probability measures), with a strong emphasis on the classification of distance-preserving maps. Show the project objective Hide the project objective 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 sciencesmathematicspure mathematicsdiscrete mathematicsgraph theorynatural sciencesmathematicsapplied mathematicsstatistics and probability Programme(s) H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions Main Programme 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 Net EU contribution € 186 167,04 Address Am campus 1 3400 Klosterneuburg Austria See on map Region Ostösterreich Niederösterreich Wiener Umland/Nordteil Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Other funding € 0,00
