Thermodynamic Formalism and Applications to Dimension Theory
Thermodynamic Formalism and Applications to Dimension Theory
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DOI：
10.1007/978-3-0348-0206-2
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发表时间：
2011-08
期刊：
影响因子：
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通讯作者：
L. Barreira
中科院分区：
文献类型：
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作者：
L. Barreira
这本自成一体的专着提出了一个统一的阐述热力学形式主义和它的一些主要扩展，重点是关系到维数理论和多重分形分析的动力系统。特别是，这本书认为三种不同口味的热力学形式主义，即非加性，次加性，几乎添加剂，并提供了详细的讨论，一些最重要的结果在该地区，其中一些相当近期。它还包括讨论最实质性的应用这些口味的热力学形式主义的维数理论和多重分形分析的动力系统。
This self-contained monograph presents a unified exposition of the thermodynamic formalism and some of its main extensions, with emphasis on the relation to dimension theory and multifractal analysis of dynamical systems. In particular, the book considers three different flavors of the thermodynamic formalism, namely nonadditive, subadditive, and almost additive, and provides a detailed discussion of some of the most significant results in the area, some of them quite recent. It also includes a discussion of the most substantial applications of these flavors of the thermodynamic formalism to dimension theory and multifractal analysis of dynamical systems.