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PreprintarXiv licencearXiv

A Khintchine type inequality for non-independent random variables

Abstract

In this short note we give a Khintchine-type inequality involving non-independentrandom variables. The basic setting is inspired by Breuer-Major theorem and the proof is based on a hypercontractivity argument.

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BibTeX
@misc{huang2026khintchine,
  title = {{A Khintchine type inequality for non-independent random variables}},
  author = {Jingyu Huang and Wenxuan Tao},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.15959},
  eprint = {2610.15959},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.15959},
}
RIS
TY  - UNPB
TI  - A Khintchine type inequality for non-independent random variables
AU  - Jingyu Huang
AU  - Wenxuan Tao
PY  - 2026
DA  - 2026/10/11
PB  - arXiv
DO  - 10.48550/arxiv.2610.15959
UR  - https://arxiv.org/abs/2610.15959
AB  - In this short note we give a Khintchine-type inequality involving non-independentrandom variables. The basic setting is inspired by Breuer-Major theorem and the proof is based on a hypercontractivity argument.
ER  -