A palm hierarchy for determinantal point processes with the Bessel kernel


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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.

作者简介

Alexander 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

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Email: bufetov@mi.ras.ru
俄罗斯联邦, 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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