Linear response and moderate deviations: hierarchical approach. I
Probability
2016-12-28 v1
Abstract
This is basically a polished presentation for Sections 1,2 of arXiv:0801.1050. 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 a new class of random processes. The approach is promising also for random fields.
Cite
@article{arxiv.1612.08396,
title = {Linear response and moderate deviations: hierarchical approach. I},
author = {Boris Tsirelson},
journal= {arXiv preprint arXiv:1612.08396},
year = {2016}
}
Comments
26 pages