Construction of Poissonian Fock space: a simple proof

DOI10.3792/PJAA.86.60zbMath1196.60090OpenAlexW2027174735MaRDI QIDQ989439

Yoichiro Takahashi

Publication date: 20 August 2010

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.86.60

zbMATH Keywords

Poisson measureFock spacerandom point field

Mathematics Subject Classification ID

Random fields (60G60) Classical equilibrium statistical mechanics (general) (82B05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Cites Work

• An integral representation on the path space for scattering length
• Absolute continuity of Poisson random fields
• Ergodic properties of the equilibrium process associated with infinitely many Markovian particles
• Random point fields associated with certain Fredholm determinants. I: Fermion, Poisson and Boson point processes.
• Random point fields associated with certain Fredholm determinants. II: Fermion shifts and their ergodic and Gibbs properties
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