Large Deviations for Countable to One Markov Systems
Large Deviations for Countable to One Markov Systems
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DOI：
10.1007/s00220-005-1363-0
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发表时间：
2004-11
影响因子：
2.4
通讯作者：
M. Yuri
中科院分区：
文献类型：
--
作者：
M. Yuri
在本文中，我们研究了可数到一马尔可夫系统的大偏差性质与弱吉布斯措施的非Hölder势。此外，我们建立了可数到一分段共形马尔可夫系统的多重分形大偏差律，这些系统是在双曲区域上构造的非双曲系统的导出系统，表现出非线性。我们将我们的结果应用到高维数论变换。
In this paper, we study large deviation properties for countable to one Markov systems associated to weak Gibbs measures for non-Hölder potentials. Furthermore, we establish multifractal large deviation laws for countable to one piecewise conformal Markov systems, which are derived systems constructed over hyperbolic regions for certain nonhyperbolic systems exhibiting intermittency. We apply our results to higher-dimensional number theoretical transformations.