Linear response and moderate deviations: hierarchical approach. I

Boris Tsirelson

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arXiv · 1612.08396

Linear response and moderate deviations: hierarchical approach. I

Boris Tsirelson

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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.

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Boris Tsirelson. 2016-12-26. Linear response and moderate deviations: hierarchical approach. I. https://arxiv.org/abs/1612.08396

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