Electronic Communications in Probability

A note on tail triviality for determinantal point processes

Russell Lyons

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We give a very short proof that determinantal point processes have a trivial tail $\sigma $-field. This conjecture of the author has been proved by Osada and Osada as well as by Bufetov, Qiu, and Shamov. The former set of authors relied on the earlier result of the present author that the conjecture held in the discrete case, as does the present short proof.

Article information

Electron. Commun. Probab., Volume 23 (2018), paper no. 72, 3 pp.

Received: 17 July 2018
Accepted: 2 October 2018
First available in Project Euclid: 17 October 2018

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 60K99: None of the above, but in this section
Secondary: 60G55: Point processes

transference principle

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Lyons, Russell. A note on tail triviality for determinantal point processes. Electron. Commun. Probab. 23 (2018), paper no. 72, 3 pp. doi:10.1214/18-ECP175. https://projecteuclid.org/euclid.ecp/1539763345

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