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A Chaining Approach to Canonical Processes with Log-Concave Tails

  • Xuanang Hu
  • Hanchao Wang
  • Xinglong Wu
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Abstract

We prove a decomposition theorem for canonical processes generated by independent symmetric random variables with log-concave tails, without the Δ2 condition. The proof uses the classical chaining method, based on admissible partitions and chopping maps. The argument also recovers the majorizing-measure characterization.

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Cite

BibTeXRIS
BibTeX
@misc{hu2026chaining,
  title = {{A Chaining Approach to Canonical Processes with Log-Concave Tails}},
  author = {Xuanang Hu and Hanchao Wang and Xinglong Wu},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.24301},
  eprint = {2609.24301},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.24301},
}
RIS
TY  - UNPB
TI  - A Chaining Approach to Canonical Processes with Log-Concave Tails
AU  - Xuanang Hu
AU  - Hanchao Wang
AU  - Xinglong Wu
PY  - 2026
DA  - 2026/09/21
PB  - arXiv
DO  - 10.48550/arxiv.2609.24301
UR  - https://arxiv.org/abs/2609.24301
AB  - We prove a decomposition theorem for canonical processes generated by independent symmetric random variables with log-concave tails, without the Δ_2 condition. The proof uses the classical chaining method, based on admissible partitions and chopping maps. The argument also recovers the majorizing-measure characterization.
ER  -