Email this article A palm hierarchy for determinantal point processes with the Bessel kernel
- Authors: Bufetov A.I.1,2,3,4
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Institute for Information Transmission Problems (Kharkevich Institute)
- National Research University “Higher School of Economics,”
- Aix-Marseille Université, CNRS, Centrale Marseille
- Issue: Vol 297, No 1 (2017)
- Pages: 90-97
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/174577
- DOI: https://doi.org/10.1134/S0081543817040058
- ID: 174577
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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.
About the authors
Alexander I. Bufetov
Steklov Mathematical Institute of Russian Academy of Sciences; Institute for Information Transmission Problems (Kharkevich Institute); National Research University “Higher School of Economics,”; Aix-Marseille Université, CNRS, Centrale Marseille
Author for correspondence.
Email: bufetov@mi.ras.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991; Bol’shoi Karetnyi per. 19, str. 1, Moscow, 127051; ul. Myasnitskaya 20, Moscow, 101000; I2M, UMR 7373, 39 rue F. Joliot-Curie, Marseille Cedex 13, 13453
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