A Palm Hierarchy for Determinantal Point Processes with the Bessel Kernel

Alexander I. Bufetov (1, 2, 3, 4, 5)

1 Chebyshev Laboratory
2 I2M - Institut de Mathématiques de Marseille
3 SMI - Steklov Mathematical Institute [Moscow]
4 Institute for Information Transmission Problems
5 HSE - Vysšaja škola èkonomiki = National Research University Higher School of Economics [Moscow]

The main result of this note shows that Palm distributions of the determinantal point process governed by the Bessel kernel with parameter s are equivalent to the determinantal point process governed by the Bessel kernel with parameter s + 2. The Radon-Nikodym derivative is explicitly computed as a multiplicative functional on the space of configurations.

Domains: Mathematics [math]

Alexander I. Bufetov. A Palm Hierarchy for Determinantal Point Processes with the Bessel Kernel. Proceedings of the Steklov Institute of Mathematics, 2017, 297 (1), pp.90-97. ⟨10.1134/S0081543817040058⟩. ⟨hal-01764676⟩