Stochastic Analysis and Mathematical Physics: ANESTOC ’98 Proceedings of the Third International Workshop
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2000
|
| Schriftenreihe: | Trends in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The seminar on Stochastic Analysis and Mathematical Physics started in 1984 at the Catholic University of Chile in Santiago and has been an on going research activity. Since 1995, the group has organized international workshops as a way of promoting a broader dialogue among experts in the areas of classical and quantum stochastic analysis, mathematical physics and physics. This volume, consisting primarily of contributions to the Third Inter national Workshop on Stochastic Analysis and Mathematical Physics (in Spanish ANESTOC), held in Santiago, Chile, in October 1998, focuses on an analysis of quantum dynamics and related problems in probability the ory. Various articles investigate quantum dynamical semigroups and new results on q-deformed oscillator algebras, while others examine the appli cation of classical stochastic processes in quantum modeling. As in previous workshops, the topic of quantum flows and semigroups occupied an important place. In her paper, R. Carbone uses a spectral type analysis to obtain exponential rates of convergence towards the equilibrium of a quantum dynamical semigroup in the £2 sense. The method is illus trated with a quantum extension of a classical birth and death process. Quantum extensions of classical Markov processes lead to subtle problems of domains. This is in particular illustrated by F. Fagnola, who presents a pathological example of a semigroup for which the largest * -subalgebra (of the von Neumann algebra of bounded linear operators of £2 (lR+, IC)), con tained in the domain of its infinitesimal generator, is not a-weakly dense |
| Beschreibung: | 1 Online-Ressource (IX, 166 p) |
| ISBN: | 9781461213727 9781461271185 |
| DOI: | 10.1007/978-1-4612-1372-7 |
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Datensatz im Suchindex
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| format | Electronic eBook |
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| indexdate | 2024-07-10T01:21:05Z |
| institution | BVB |
| isbn | 9781461213727 9781461271185 |
| language | English |
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| series2 | Trends in Mathematics |
| spelling | Rebolledo, Rolando Verfasser aut Stochastic Analysis and Mathematical Physics ANESTOC ’98 Proceedings of the Third International Workshop edited by Rolando Rebolledo Boston, MA Birkhäuser Boston 2000 1 Online-Ressource (IX, 166 p) txt rdacontent c rdamedia cr rdacarrier Trends in Mathematics The seminar on Stochastic Analysis and Mathematical Physics started in 1984 at the Catholic University of Chile in Santiago and has been an on going research activity. Since 1995, the group has organized international workshops as a way of promoting a broader dialogue among experts in the areas of classical and quantum stochastic analysis, mathematical physics and physics. This volume, consisting primarily of contributions to the Third Inter national Workshop on Stochastic Analysis and Mathematical Physics (in Spanish ANESTOC), held in Santiago, Chile, in October 1998, focuses on an analysis of quantum dynamics and related problems in probability the ory. Various articles investigate quantum dynamical semigroups and new results on q-deformed oscillator algebras, while others examine the appli cation of classical stochastic processes in quantum modeling. As in previous workshops, the topic of quantum flows and semigroups occupied an important place. In her paper, R. Carbone uses a spectral type analysis to obtain exponential rates of convergence towards the equilibrium of a quantum dynamical semigroup in the £2 sense. The method is illus trated with a quantum extension of a classical birth and death process. Quantum extensions of classical Markov processes lead to subtle problems of domains. This is in particular illustrated by F. Fagnola, who presents a pathological example of a semigroup for which the largest * -subalgebra (of the von Neumann algebra of bounded linear operators of £2 (lR+, IC)), con tained in the domain of its infinitesimal generator, is not a-weakly dense Physics Operator theory Mathematics Distribution (Probability theory) Theoretical, Mathematical and Computational Physics Operator Theory Applications of Mathematics Probability Theory and Stochastic Processes Mathematik https://doi.org/10.1007/978-1-4612-1372-7 Verlag Volltext |
| spellingShingle | Rebolledo, Rolando Stochastic Analysis and Mathematical Physics ANESTOC ’98 Proceedings of the Third International Workshop Physics Operator theory Mathematics Distribution (Probability theory) Theoretical, Mathematical and Computational Physics Operator Theory Applications of Mathematics Probability Theory and Stochastic Processes Mathematik |
| title | Stochastic Analysis and Mathematical Physics ANESTOC ’98 Proceedings of the Third International Workshop |
| title_auth | Stochastic Analysis and Mathematical Physics ANESTOC ’98 Proceedings of the Third International Workshop |
| title_exact_search | Stochastic Analysis and Mathematical Physics ANESTOC ’98 Proceedings of the Third International Workshop |
| title_full | Stochastic Analysis and Mathematical Physics ANESTOC ’98 Proceedings of the Third International Workshop edited by Rolando Rebolledo |
| title_fullStr | Stochastic Analysis and Mathematical Physics ANESTOC ’98 Proceedings of the Third International Workshop edited by Rolando Rebolledo |
| title_full_unstemmed | Stochastic Analysis and Mathematical Physics ANESTOC ’98 Proceedings of the Third International Workshop edited by Rolando Rebolledo |
| title_short | Stochastic Analysis and Mathematical Physics |
| title_sort | stochastic analysis and mathematical physics anestoc 98 proceedings of the third international workshop |
| title_sub | ANESTOC ’98 Proceedings of the Third International Workshop |
| topic | Physics Operator theory Mathematics Distribution (Probability theory) Theoretical, Mathematical and Computational Physics Operator Theory Applications of Mathematics Probability Theory and Stochastic Processes Mathematik |
| topic_facet | Physics Operator theory Mathematics Distribution (Probability theory) Theoretical, Mathematical and Computational Physics Operator Theory Applications of Mathematics Probability Theory and Stochastic Processes Mathematik |
| url | https://doi.org/10.1007/978-1-4612-1372-7 |
| work_keys_str_mv | AT rebolledorolando stochasticanalysisandmathematicalphysicsanestoc98proceedingsofthethirdinternationalworkshop |