Boris Tsirelson,
"Linear response and moderate deviations: hierarchical approach. II"
Available online (free of charge) from e-print archive:
arXiv.org/abs/1706.00991/

A research paper, 15 pages, bibl. 1 ref.

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. An upper bound for a new class of random fields is obtained here by induction in dimension.

1. Definition, and main result formulated.
2. Far from large deviations.
3. Close to large deviations.