Pfaffian Point Processes from Free Fermion Algebras: Perfectness and Conditional Measures

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• Main Author: Koshida, Shinji
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211180
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Pfaffian Point Processes from Free Fermion Algebras: Perfectness and Conditional Measures. Shinji Koshida. SIGMA 17 (2021), 008, 35 pages

The analogy between determinantal point processes (DPPs) and free fermionic calculi is well-known. We point out that, from the perspective of free fermionic algebras, Pfaffian point processes (PfPPs) naturally emerge, and show that a positive contraction acting on a ''doubled'' o...