Division for Algebra and Functional Analytic Applications
- Projects
- PROCOPE: Cooperation with the Universities in Strasbourg and Nancy "Stochastic processes on quantum groups"
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DFG-project "Non-commutative Markov processes and their applications to quantum physics, the theory of operator algebras and quantum groups"
- DAAD-project: PPT programms with India and Poland
 | QP-Applications: "Quantum Probability with Applications to Physics, Information Theory and Biology" - 2002/09/01 till 2006/08/31 |
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General information
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Research areas
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quantum stochastics, non-commutative probability theory
Outline article (in german): Quantenstochastik: Eine mathematische Theorie und ihre Wurzeln
( *.ps
*.dvi)
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Hopf algebras, quantum groups, bialgebras
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operator algebras
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applications to mathematical physics
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spatial-temporal random processes
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Cooperations
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Université Louis Pasteur, Straßburg (France)
- Université Henri Poincare-Nancy1 (France)
- Université de Franche-Comté, Département de mathématiques de Besancon (France)
- Trent University of Nottingham (England)
- Prifysgol Aberystwyth University, Wales (England)
- University of Rome II (Italy)
- Universita degli Studi del Molise, Campobasso (Italy)
- Universität und Technische Universität Wroclaw (Poland)
- Technische Universität Cottbus (Germany)
- Technische Universität Darmstadt (Germany)
- Friedrich-Schiller-Universität Jena (Germany)
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Main research interests
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Lévy processes on involutive bialgebras and on Voiculescu's dual groups, the notion of independence and limit theorems in non-commutative probability theory, stationary quantum Markov processes
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Teaching
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functional analysis, algebra, probability theory and statistics (including courses for economists and psychologists)
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Contact
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Prof. Dr. Michael Schürmann (mail to:schurman@uni-greifswald.de)
- School Quantum Potential Theory: Structure and Applications to Physics
- February 26 - March 10, 2007
Workshop QUANTUM CODING,
September 7-9, 2004
Mini-Workshop: Quantum Probability and Dilations, June 15-17, 2004
In spring 2003 we organized the Special Semester ''Quantum Probability: from Foundations to Applications''
There was a conference on Quantum Probability and Infinite Dimensional Analysis in Burg (Spreewald, near Berlin) from March 15 to 20, 2001, organized by us and the universities of Cottbus and Jena.
We organized a Workshop on Classical and Non-commutative Probability on June 27 and June 28, 2000.
- Links
Informations about the division in the research data base of the university