Multifractal rigidity for piecewise linear Markov maps
Multifractal rigidity for piecewise linear Markov maps
复制标题
分段线性马尔可夫映射的多重分形刚性
DOI：
10.1142/s021949371750006x
复制
发表时间：
2017
影响因子：
1.1
通讯作者：
Katsukuni Nakagawa
中科院分区：
文献类型：
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作者：
Katsukuni Nakagawa
我们回答了Barreira，Pesin和Schmeling提出的分片线性马尔可夫映射的排斥子上的马尔可夫测度的维谱的多重分形刚性问题。热力学形式主义为我们提供了一个单参数的度量族。这一族的零温度极限测量和光谱的非简并概念起着重要的作用。
We give an answer to the multifractal rigidity problem presented by Barreira, Pesin and Schmeling for the dimension spectra of Markov measures on the repellers of piecewise linear Markov maps with two branches. Thermodynamic formalism provides us with a one-parameter family of measures. Zero-temperature limit measures of this family and the concept of nondegeneracy of spectra play important roles.