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

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.

Funding Agency Grant Number
European Research Council 647133
Ministry of Education and Science of the Russian Federation МД-5991.2016.1
This project was supported by the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (grant agreement no. 647133 (ICHAOS)). It was also supported by a grant of the President of the Russian Federation (project no. MD-5991.2016.1) and by the Russian Academic Excellence Project ‘5-100’.


DOI: https://doi.org/10.1134/S0371968517020054

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

Bibliographic databases:

UDC: 519.219.5
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, Tr. Mat. Inst. Steklova, 297, MAIK Nauka/Interperiodica, Moscow, 2017, 105–112; Proc. Steklov Inst. Math., 297 (2017), 90–97

Citation in format AMSBIB
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\bookinfo Collected papers. On the occasion of the 125th anniversary of the birth of Academician Dmitry Victorovich Anosov
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\pages 105--112
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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