Year: 2026
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Authors: Hu, Xuanang, Wang, Hanchao, Wu, Xinglong
Institution: Shandong University
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G338394213, G7049984574
OpenAlex ID: W7214007163