Conditional measures for Pfaffian point processes: conditioning on a bounded domain

Fabio Deelan Cunden (1) , Yanqi Qiu (2) , Alexander I. Bufetov (3)

1 School of Mathematics and Statistics, University College Dublin
2 IMT - Institut de Mathématiques de Toulouse UMR5219
3 I2M - Institut de Mathématiques de Marseille

For a Pfaffian point process we show that its Palm measures, its normalised compositions with multiplicative functionals, and its conditional measures with respect to fixing the configuration in a bounded subset are Pfaffian point processes whose kernels we find explicitly.

Domaines: Mathématiques [math]; Probabilités [math.PR]; Systèmes dynamiques [math.DS]

Fabio Deelan Cunden, Yanqi Qiu, Alexander I. Bufetov. Conditional measures for Pfaffian point processes: conditioning on a bounded domain. 2020. ⟨hal-02439073⟩