Large deviations for systems with non-uniform structure
Large deviations for systems with non-uniform structure
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DOI：
10.1090/tran/6786
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发表时间：
2013-04
影响因子：
1.3
通讯作者：
V. Climenhaga;D. Thompson;Kenichiro Yamamoto
中科院分区：
文献类型：
--
作者：
V. Climenhaga;D. Thompson;Kenichiro Yamamoto
我们利用弱Gibbs性质和弱形式的规格说明导出了配备了一大类参考测度的符号系统的第二级大偏差原理。这适用于一大类符号系统，包括$\beta$-移位、$S$-缺口移位及其因子。在我们的方法中，关键的一步是证明这些系统的‘马蹄定理’。
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.