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- W2952570351 abstract "Let $F$ be a non-discrete non-Archimedean local field. For any subset $Ssubset F$ 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." @default.
- W2952570351 created "2019-06-27" @default.
- W2952570351 creator A5029265560 @default.
- W2952570351 date "2017-02-23" @default.
- W2952570351 modified "2023-09-27" @default.
- W2952570351 title "Rigid stationary determinantal processes in non-Archimedean fields" @default.
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- W2952570351 doi "https://doi.org/10.48550/arxiv.1702.07323" @default.
- W2952570351 hasPublicationYear "2017" @default.
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