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A Palm Hierarchy for Determinantal Point Processes with the Bessel Kernel

Abstract : 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.
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https://hal-amu.archives-ouvertes.fr/hal-01764676
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Submitted on : Thursday, April 12, 2018 - 12:13:25 PM
Last modification on : Tuesday, July 14, 2020 - 11:14:04 AM

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

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