PDF(440 KB)
PDF(440 KB)
PDF(440 KB)
部分双曲动力系统中不稳定局部熵的重分形分析
Multifractal Analysis of Unstable Local Entropies for Partially Hyperbolic Systems
本文在部分双曲动力系统中定义了Borel概率测度的不稳定局部熵.为了刻画不稳定局部熵的重分形谱，引入不稳定（q，μ）-熵的概念，给出不稳定（q，μ）-熵的基本性质，并建立了不稳定局部熵重分形谱的Bowen不稳定熵与（q，μ）-熵之间的关系式.
We define unstable local entropies for arbitrary Borel probability measures in partially hyperbolic systems. In order to characterize the multifractal spectrum of unstable local entropies, we introduce the concept of unstable (q, μ)-entropy, provide some basic properties of (q, μ)-entropy and establish a relation formula between the Bowen unstable entropy of the multifractal spectrum and the (q, μ)-entropy.
重分形分析 / 不稳定局部熵 / 部分双曲系统 {{custom_keyword}} /
multifractal analysis / unstable local entropy / partially hyperbolic systems {{custom_keyword}} /
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国家自然科学基金资助项目（11701003，11901419）
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