On quantum stochastic differential equations

DOI10.1016/j.jmaa.2006.07.105zbMath1175.81140arXiv1101.0175OpenAlexW2963396189MaRDI QIDQ879049

J. Martin Lindsay, Adam G. Skalski

Publication date: 4 May 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.0175

zbMATH Keywords

coalgebraoperator spaceLévy processnoncommutative probabilitystochastic cocyclequantum stochastic

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Noncommutative probability and statistics (46L53) Quantum stochastic calculus (81S25) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (5)

Quantum computing based state domain equations and feedback control ⋮ Quantum stochastic convolution cocycles. III ⋮ Quantum stochastic convolution cocycles. II ⋮ Sesquilinear quantum stochastic analysis in Banach space ⋮ Completely positive quantum stochastic convolution cocycles and their dilations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stochastic dilations of uniformly continuous completely positive semigroups
• Quantum Ito's formula and stochastic evolutions
• Quantum stochastic convolution cocycles. II
• Existence of quantum diffusions
• Existence, positivity and contractivity for quantum stochastic flows with infinite dimensional noise
• White noise on bialgebras
• Markovian cocycles on operator algebras adapted to a Fock filtration
• Quantum probability for probabilists.
• Quantum stochastic convolution cocycles. I
• Symmetric Hilbert spaces and related topics. Infinitely divisible positive definite functions, continuous products and tensor products, Gaussian and Poissonian stochastic processes
• Quantum Stochastic Cocycles and Completely Bounded Semigroups on Operator Spaces
• EXISTENCE OF FELLER COCYCLES ON A C*-ALGEBRA
• Completely positive quantum stochastic convolution cocycles and their dilations
• On characterizing quantum stochastic evolutions
• On the quantum Feynman-Kac formula
• HOMOMORPHIC FELLER COCYCLES ON A $C^*$-ALGEBRA

This page was built for publication: On quantum stochastic differential equations