Monotone quantum stochastic processes and covariant dynamical hemigroups
From MaRDI portal
Publication:647616
DOI10.1016/j.jfa.2011.08.004zbMath1250.46044OpenAlexW2090516758MaRDI QIDQ647616
Jaeseong Heo, Un Cig Ji, Vyacheslav P. Belavkin
Publication date: 24 November 2011
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2011.08.004
Hilbert \(C^*\)-modulemonotone independencequantum stochastic processquantum dynamical hemigroupquantum Markov process
(C^*)-modules (46L08) Noncommutative dynamical systems (46L55) Noncommutative probability and statistics (46L53) Quantum stochastic calculus (81S25) Markov processes (60J99)
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Cites Work
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- Non-Markovian quantum stochastic processes and their entropy
- Markovian master equations
- On the generators of quantum dynamical semigroups
- Unification of Boolean, monotone, anti-monotone, and tensor independence and Lévy processes
- Hilbert \(C^*\)-module representation on Haagerup tensor products and group systems
- Type I product systems of Hilbert modules
- Cohomology of Operator Algebras and Quantum Dynamical Semigroups
- The calculus of snakes and the combinatorics of Bernoulli, Euler and Springer numbers of Coxeter groups
- MONOTONIC INDEPENDENCE, MONOTONIC CENTRAL LIMIT THEOREM AND MONOTONIC LAW OF SMALL NUMBERS
- Reproducing kernel Hilbert C∗-modules and kernels associated with cocycles
- Inner Product Modules Over B ∗ -Algebras
- Quantum stochastic processes
- Quantum stochastic processes
