The strong Markov property for fermion Brownian motion

DOI10.1016/0022-1236(86)90012-1zbMath0583.60076OpenAlexW2083875043MaRDI QIDQ1069216

David Applebaum

Publication date: 1986

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(86)90012-1

zbMATH Keywords

Wiener measureGrassmann algebrafermion Brownian motion process

Mathematics Subject Classification ID

Brownian motion (60J65) General theory of von Neumann algebras (46L10) General theory of (C^*)-algebras (46L05)

Related Items (10)

Quantum independent increment processes on superalgebras ⋮ Stopping unitary processes in Fock space ⋮ Fermion Ito's formula. II: The gauge process in fermion Fock space ⋮ Quantum stochastic integrals as belated integrals ⋮ Quantum stopping times stochastic integral in the interacting Fock space ⋮ On characterizing quantum stochastic evolutions ⋮ Stopping times for quantum Markov chains ⋮ The optional stopping theorem for quantum martingales ⋮ A Lévy-Ciesielski Expansion for Quantum Brownian Motion and the Construction of Quantum Brownian Bridges ⋮ Quantum stochastic processes with independent additive increments

Cites Work

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• Time-orthogonal unitary dilations and noncommutative Feynman-Kac formulae. II
• The strong Markov property for canonical Wiener processes
• Translation-invariant integrals, and Fourier analysis on Clifford and Grassmann algebras
• Quantum mechanical Wiener processes
• Fermion stochastic calculus in Dirac-Fock space
• Infinitely divisible representations of Clifford algebras
• Involutory Automorphisms of Operator Algebras

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