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Quantum Probability, Renormalization and Infinite-Dimensional *-Lie Algebras

Quantum Probability, Renormalization and Infinite-Dimensional *-Lie Algebras

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.