## B. Tsirelson | ## Linear response and moderate deviations: hierarchical approach. II | ## Recent works |

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.

- Definition, and main result formulated.
- Far from large deviations.
- Close to large deviations.

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