On a class of stochastic flows driven by quantum Brownian motion

DOI10.1007/BF01046766zbMath0764.60061MaRDI QIDQ1209204

David Applebaum

Publication date: 16 May 1993

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

zbMATH Keywords

Brownian motionRiemannian manifoldsquantum stochastic flows

Mathematics Subject Classification ID

Brownian motion (60J65) Stochastic analysis (60H99)

Related Items (1)

Fermionic stochastic differential equations and the index of Fredholm operators

Cites Work

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• Quantum Ito's formula and stochastic evolutions
• Unitary evolutions and horizontal lifts in quantum stochastic calculus
• Quantum diffusions and the noncommutative torus
• Stochastic evolution of Yang-Mills connections on the noncommutative two- torus
• Existence of quantum diffusions
• C*-algebras associated with irrational rotations
• On quantum stochastic differential equations with unbounded coefficients
• Topological algebras of operators
• Unitary Quantum Stochastic Evolutions
• Smooth Lie group actions on non-commutative tori

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