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This article is cited in 1 scientific paper (total in 1 paper)
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.
Received: February 18, 2017
Citation:
Alexander I. Bufetov, “A Palm hierarchy for determinantal point processes with the Bessel kernel”, Order and chaos in dynamical systems, Collected papers. On the occasion of the 125th anniversary of the birth of Academician Dmitry Victorovich Anosov, Trudy Mat. Inst. Steklova, 297, MAIK Nauka/Interperiodica, Moscow, 2017, 105–112; Proc. Steklov Inst. Math., 297 (2017), 90–97
Linking options:
https://www.mathnet.ru/eng/tm3805https://doi.org/10.1134/S0371968517020054 https://www.mathnet.ru/eng/tm/v297/p105
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Abstract page: | 564 | Full-text PDF : | 130 | References: | 55 | First page: | 7 |
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