Large deviations for systems with non-uniform structure

Large deviations for systems with non-uniform structure

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, SS-gap shifts, and their factors. A...

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Veröffentlicht in:Transactions of the American Mathematical Society 2017-06, Vol.369 (6), p.4167-4192
Hauptverfasser: Climenhaga, Vaughn, Thompson, Daniel J., Yamamoto, Kenichiro
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creator Climenhaga, Vaughn
Thompson, Daniel J.
Yamamoto, Kenichiro
description 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, SS-gap shifts, and their factors. A crucial step in our approach is to prove a ‘horseshoe theorem’ for these systems.
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title Large deviations for systems with non-uniform structure
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