CORDIS - Forschungsergebnisse der EU
CORDIS

PROBABILITY AND QUANTUM GROUPS

Ziel

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.

Aufforderung zur Vorschlagseinreichung

FP7-PEOPLE-2009-IEF
Andere Projekte für diesen Aufruf anzeigen

Koordinator

INSTYTUT MATEMATYCZNY POLSKIEJ AKADEMII NAUK
EU-Beitrag
€ 119 533,60
Adresse
UL. SNIADECKICH 8
00-656 WARSZAWA
Polen

Auf der Karte ansehen

Region
Makroregion województwo mazowieckie Warszawski stołeczny Miasto Warszawa
Aktivitätstyp
Higher or Secondary Education Establishments
Kontakt Verwaltung
Piotr Hajac (Dr.)
Links
Gesamtkosten
Keine Daten