Obiettivo
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.
Campo scientifico
- natural sciencesmathematicsapplied mathematicsmathematical physics
- natural sciencesmathematicsapplied mathematicsdynamical systems
- natural sciencesmathematicspure mathematicsmathematical analysisfunctional analysis
- natural sciencesmathematicspure mathematicsgeometry
- natural sciencesmathematicsapplied mathematicsstatistics and probability
Argomento(i)
Invito a presentare proposte
FP7-PEOPLE-2009-IEF
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Meccanismo di finanziamento
MC-IEF - Intra-European Fellowships (IEF)Coordinatore
00-656 WARSZAWA
Polonia