Translator Disclaimer
February 2019 Rigid stationary determinantal processes in non-Archimedean fields
Yanqi Qiu
Bernoulli 25(1): 75-88 (February 2019). DOI: 10.3150/17-BEJ953

Abstract

Let $F$ be a non-discrete non-Archimedean local field. For any subset $S\subset F$ with finite Haar measure, there is a stationary determinantal point process on $F$ with correlation kernel $\widehat{\mathbb{1}}_{S}(x-y)$, where $\widehat{\mathbb{1}}_{S}$ is the Fourier transform of the indicator function $\mathbb{1}_{S}$. In this note, we give a geometrical condition on the subset $S$, such that the associated determinantal point process is rigid in the sense of Ghosh and Peres. Our geometrical condition is very different from the Euclidean case.

Citation

Download Citation

Yanqi Qiu. "Rigid stationary determinantal processes in non-Archimedean fields." Bernoulli 25 (1) 75 - 88, February 2019. https://doi.org/10.3150/17-BEJ953

Information

Received: 1 February 2017; Published: February 2019
First available in Project Euclid: 12 December 2018

zbMATH: 07007200
MathSciNet: MR3892312
Digital Object Identifier: 10.3150/17-BEJ953

Rights: Copyright © 2019 Bernoulli Society for Mathematical Statistics and Probability

JOURNAL ARTICLE
14 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.25 • No. 1 • February 2019
Back to Top