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 \beta -shifts, S-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
Format: Artikel
Sprache:eng
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Zusammenfassung: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 \beta -shifts, S-gap shifts, and their factors. A crucial step in our approach is to prove a `horseshoe theorem' for these systems.
ISSN:0002-9947
1088-6850
DOI:10.1090/tran/6786