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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

Trudy Mat. Inst. Steklova, 2017 Volume 297, Pages 105–112 (Mi tm3805)

This article is cited in 3 papers

A Palm hierarchy for determinantal point processes with the Bessel kernel

Alexander I. Bufetovabcd

a Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
b Institute for Information Transmission Problems (Kharkevich Institute), Russian Academy of Sciences, Bol'shoi Karetnyi per. 19, str. 1, Moscow, 127051 Russia
c National Research University "Higher School of Economics", ul. Myasnitskaya 20, Moscow, 101000 Russia
d Aix-Marseille Université, CNRS, Centrale Marseille, I2M, UMR 7373, 39 rue F. Joliot-Curie, 13453 Marseille Cedex 13, France

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.

UDC: 519.219.5

Received: February 18, 2017

DOI: 10.1134/S0371968517020054


 English version:
Proceedings of the Steklov Institute of Mathematics, 2017, 297, 90–97

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