Boris Tsirelson,
"Linear response and moderate deviations: hierarchical approach. III"
Available online (free of charge) from e-print archive:
arXiv.org/abs/1711.05247/

A research paper, 26 pages, bibl. 2 refs.

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.

1. Introduction, and main result formulated.
2. Single-step bounds.
3. Multi-step bounds based on Lemma 2.3.
4. Multi-step bounds based on Lemma 2.4.
5. Quadratic approximation based on Sect. 3.
6. Quadratic approximation based on Sect. 4.