English

Linear response and moderate deviations: hierarchical approach. IV

Probability 2019-09-16 v2

Abstract

The Moderate Deviations Principle (MDP) is well-understood for sums of independent random variables, worse understood for stationary random sequences, and scantily understood for random fields. Here it is established for splittable random fields integrated against test functions. Version 2: minor changes. Interval [0,1] replaced with [0,1) for better compatibility with Part V. Copyedit pages 3, 4, 6, 16, 22, 23.

Keywords

Cite

@article{arxiv.1810.05673,
  title  = {Linear response and moderate deviations: hierarchical approach. IV},
  author = {Boris Tsirelson},
  journal= {arXiv preprint arXiv:1810.05673},
  year   = {2019}
}

Comments

26 pages

R2 v1 2026-06-23T04:38:03.698Z