SPLITTING OF POISSON NOISE AND LÉVY PROCESSES ON REAL LIE ALGEBRAS

DOI10.1142/S0219025702000699zbMath1059.81103MaRDI QIDQ4818885

Nicolas Privault

Publication date: 24 September 2004

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

zbMATH Keywords

quantum stochastic calculusrealizationPoisson noiseSplittingLévy process on Lie algebra

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) White noise theory (60H40) Applications of Lie groups to the sciences; explicit representations (22E70) Quantum stochastic calculus (81S25)

Related Items (2)

De Rham–Hodge decomposition and vanishing of harmonic forms by derivation operators on the Poisson space ⋮ Non-commutative probability and non-commutative processes: Beyond the Heisenberg algebra

Cites Work

• An example of a quantum exponential process
• Integration by parts for Poisson processes
• A different quantum stochastic calculus for the Poisson process
• ON THE RELATION OF THE SQUARE OF WHITE NOISE AND THE FINITE DIFFERENCE ALGEBRA
• Chaotic and variational calculus in discrete and continuous time for the poisson process

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