Local product structure for Equilibrium States
Local product structure for Equilibrium States
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均衡状态的本地产品结构
DOI：
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
R. Leplaideur
中科院分区：
文献类型：
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作者：
R. Leplaideur
研究公理同构或流的平衡态的局部结构，通常采用符号动力学方法，并将结果推到流形上。给出了一种新的几何方法。证明了Holder连续函数的平衡态与满足某种扩张性的特殊子系统的平衡态之间的关系。利用不同的推广证明了吉布斯测度的局部积结构。
The usual way to study the local structure of Equilibrium State of an AxiomA diffeomorphism or flow is to use the symbolic dynamic and to push results on the manifold. A new geometrical method is given. It consists in proving that Equilibrium States for Holder-continuous functions are related to other Equilibrium States of some special sub-systems satisfying a sort of expansiveness. Using different kinds of extensions the local product structure of Gibbs-measure is proven.