Objectif The project lies at the intersection of functional analysis, probability theory and quantum algebra, with possible applications to mathematical physics. It is broadly concerned with the analysis of evolutions of systems related to quantum groups, using the language of noncommutative probability. The latter, which extends the classical stochastic theory, is necessary to describe random phenomena encountered in the microscopic world. A specific goal is the mathematically rigorous investigation of probabilistic aspects of both local and long-time behaviour of systems in the presence of quantum symmetry, represented by quantum groups. Recent years have brought a dynamic development of general theory and prolification of concrete examples of quantum groups and, more generally, quantum spaces. It is natural to expect that stochastic methods and interpretations will be indispensable to deepen the understanding of both discrete and continuous dynamical systems arising in this context. Connections with noncommutative geometry are also expected to be uncovered, thus extending the longstanding fruitful interaction between classical probability, geometry and algebraic structures. Champ scientifique natural sciencesmathematicsapplied mathematicsmathematical physicsnatural sciencesmathematicsapplied mathematicsdynamical systemsnatural sciencesmathematicspure mathematicsmathematical analysisfunctional analysisnatural sciencesmathematicspure mathematicsgeometrynatural sciencesmathematicsapplied mathematicsstatistics and probability Programme(s) FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Thème(s) FP7-PEOPLE-2009-IEF - Marie Curie Action: "Intra-European Fellowships for Career Development" Appel à propositions FP7-PEOPLE-2009-IEF Voir d’autres projets de cet appel Régime de financement MC-IEF - Intra-European Fellowships (IEF) Coordinateur INSTYTUT MATEMATYCZNY POLSKIEJ AKADEMII NAUK Contribution de l’UE € 119 533,60 Adresse UL. SNIADECKICH 8 00-656 WARSZAWA Pologne Voir sur la carte Région Makroregion województwo mazowieckie Warszawski stołeczny Miasto Warszawa Type d’activité Higher or Secondary Education Establishments Contact administratif Piotr Hajac (Dr.) Liens Contacter l’organisation Opens in new window Site web Opens in new window Coût total Aucune donnée
