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Large deviations for systems with non-uniform structure
Vaughn Climenhaga, Daniel Thompson, Kenichiro Yamamoto
Source abstract
We use a weak Gibbs property and a weak form of specification to derive level-2 large deviations principles for symbolic systems equipped with a large class of reference measures. This has applications to a broad class of symbolic systems, including β \beta -shifts, S S -gap shifts, and their factors. A crucial step in our approach is to prove a ‘horseshoe theorem’ for these systems.
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