| 局部熵高维重分形谱的上界估计 |
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| 引用本文： | 严珍珍,陈二才. 局部熵高维重分形谱的上界估计[J]. 东北数学, 2008, 24(6): 471-484 |
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| 作者姓名： | 严珍珍 陈二才 |
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| 作者单位： | |
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| 基金项目： | 国家自然科学基金，China and Qing-lan Project In Nanjing University of Posts and Telecommunications |
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| 摘 要： | We discuss the problem of higher-dimensional multifractal spectrum of local entropy for arbitrary invariant measures. By utilizing characteristics of a dynamical system, namely, higher-dimensional entropy capacities and higher-dimensional correlation entropies, we obtain three upper estimates on the hlgher-dimensional multifractal spectrum of local entropies. We also study the domain of higher-dimensional multifractai spetrum of entropies.
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| 关 键 词： | 多重分形谱 局部熵 高维 概算 动力系统 相关熵 |
Upper Estimates on the Higher-dimensional Multifractal Spectrum of Local Entropy |
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| YAN Zhen-zhen,CHEN Er-cai. Upper Estimates on the Higher-dimensional Multifractal Spectrum of Local Entropy[J]. Northeastern Mathematical Journal, 2008, 24(6): 471-484 |
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| Authors: | YAN Zhen-zhen CHEN Er-cai |
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| Affiliation: | [1]School of Mathematics and Physics, Nanjing University of Posts and Nanjing, 210003 [2]School of Mathematics and Computer Science, Nanjing Normal University, Nanjing, 210097 |
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| Abstract: | We discuss the problem of higher-dimensional multifractal spectrum of lo-cal entropy for arbitrary invariant measures. By utilizing characteristics of a dynam-ical system, namely, higher-dimensional entropy capacities and higher-dimensional correlation entropies, we obtain three upper estimates on the higher-dimensional mul-tifractal spectrum of local entropies. We also study the domain of higher-dimensional multifractal spetrum of entropies. |
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| Keywords: | multifractal analysis topological entropy entropy doubling condition entropy capacity correlation entropy |
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