Boson Fock representations of stochastic processes

DOI10.1007/BF02675785zbMath1070.81520OpenAlexW2152970632MaRDI QIDQ1581452

Takeyuki Hida, Win Win Htay, Luigi Accardi

Publication date: 2 April 2001

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02675785

zbMATH Keywords

canonical representationmultiple Markov propertycanonical Markov propertystationary quantum stochastic process

Mathematics Subject Classification ID

Gaussian processes (60G15) Stationary stochastic processes (60G10) Quantum stochastic calculus (81S25) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (1)

CANONICAL REPRESENTATION OF STATIONARY QUANTUM GAUSSIAN PROCESSES

Cites Work

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• A representation free quantum stochastic calculus
• On quantum extensions of semigroups of Brownian motion on a half-line
• Quantum extensions of semigroups generated by Bessel processes
• On the structure of classical and quantum flows
• Optimalities for random functions Lee-Wiener’s network and non-canonical representation of stationary Gaussian processes

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