PreprintCC BY 4.0arXiv
Decay of Correlations for Multiplicative Functionals of Determinantal Point Processes
Abstract
The main result of this paper is an upper bound on the correlations of multiplicative functionals of determinantal point processes. In particular, for the sine process, the correlations of a multiplicative functional associated with a rapidly decaying function decay quadratically. It follows that the spectral density of such functionals belongs to the Sobolev space H1.
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BibTeX
@misc{bufetov2026decay,
title = {{Decay of Correlations for Multiplicative Functionals of Determinantal Point Processes}},
author = {Alexander I. Bufetov},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.01379},
eprint = {2611.01379},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.01379},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Decay of Correlations for Multiplicative Functionals of Determinantal Point Processes
AU - Alexander I. Bufetov
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2611.01379
UR - https://arxiv.org/abs/2611.01379
AB - The main result of this paper is an upper bound on the correlations of multiplicative functionals of determinantal point processes. In particular, for the sine process, the correlations of a multiplicative functional associated with a rapidly decaying function decay quadratically. It follows that the spectral density of such functionals belongs to the Sobolev space H_1.
ER -