English

Linear response and moderate deviations: hierarchical approach. III

Probability 2018-10-16 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. Version 2. Adapted to new Version 3 of [2] arXiv:1706.00991. Terminology: "CMS random fields". Numbers of items in [2] updated. References: "response", not "responce". Otherwise unchanged.

Keywords

Cite

@article{arxiv.1711.05247,
  title  = {Linear response and moderate deviations: hierarchical approach. III},
  author = {Boris Tsirelson},
  journal= {arXiv preprint arXiv:1711.05247},
  year   = {2018}
}

Comments

26 pages

R2 v1 2026-06-22T22:45:55.031Z