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Quantum Probability, Renormalization and Infinite-Dimensional *-Lie Algebras
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
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Quantum Probability, Renormalization and Infinite-Dimensional *-Lie Algebras
Інший ID:
2000 Mathematics Subject Classification: 60H40; 60G51; 81S05; 81S20; 81S25; 81T30; 81T40
Посилання:
Quantum Probability, Renormalization and Infinite-Dimensional *-Lie Algebras / L. Accardi, A. Boukas // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 60 назв. — англ.
Підтримка:
This paper is a contribution to the Special Issue on Kac–Moody Algebras and Applications. We want to express our gratitude to the five referees who examined our paper. Their comments clearly indicate that they have gone through it carefully and the present version of the paper has greatly benefitted from them.
Дата:
2009
Переглядів:
418
Завантажень:
239
Анотація:
The present paper reviews some intriguing connections which link together a new renormalization technique, the theory of *-representations of infinite dimensional *-Lie algebras, quantum probability, white noise and stochastic calculus and the theory of classical and quantum infinitely divisible processes.
