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Large deviations for systems with non-uniform structure

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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… Click to show full 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 $\beta$-shifts, $S$-gap shifts, and their factors. A crucial step in our approach is to prove a `horseshoe theorem' for these systems.

Keywords: systems non; uniform structure; deviations systems; non uniform; large deviations

Journal Title: Transactions of the American Mathematical Society
Year Published: 2017

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