Open AccessA note on tail triviality for determinantal point processes
Author(s) -
Russell Lyons
Publication year - 2018
Publication title -
electronic communications in probability
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.236
H-Index - 38
ISSN - 1083-589X
DOI - 10.1214/18-ecp175
Subject(s) - triviality , mathematics , conjecture , sigma , point process , pure mathematics , combinatorics , point (geometry) , geometry , physics , statistics , quantum mechanics
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.
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