Conditional measures for Pfaffian point processes: Conditioning on a bounded domain
نویسندگان
چکیده
منابع مشابه
The Z-measures on Partitions, Pfaffian Point Processes, and the Matrix Hypergeometric Kernel
We consider a point process on one-dimensional lattice originated from the harmonic analysis on the infinite symmetric group, and defined by the z-measures with the deformation (Jack) parameter 2. We derive an exact Pfaffian formula for the correlation function of this process. Namely, we prove that the correlation function is given as a Pfaffian with a 2×2 matrix kernel. The kernel is given in...
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
سال: 2021
ISSN: 0246-0203
DOI: 10.1214/20-aihp1099