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Quantum Stochastic Calculus Applied to Path Spaces over Lie Groups

Nicolas Privault ()
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Nicolas Privault: Université de La Rochelle, Département de Mathématiques

A chapter in Proceedings of the International Conference on Stochastic Analysis and Applications, 2004, pp 85-94 from Springer

Abstract: Abstract Quantum stochastic calculus is applied to the proof of Skorokhod and Weitzenböck type identities for functionals of a Lie group-valued Brownian motion. In contrast to the case of ℝ d -valued paths, the computations use all three basic quantum stochastic differentials.

Keywords: Quantum stochastic calculus; Lie group-valued Brownian motion; Mathematics Subject Classification; 60H07; 81S25; 58J65; 58C35 (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4020-2468-9_6

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DOI: 10.1007/978-1-4020-2468-9_6

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