局部熵高维重分形谱的上界估计

局部熵高维重分形谱的上界估计

O241.6; 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 estima...

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Veröffentlicht in:东北数学(英文版) 2008, Vol.24 (6), p.471-484
Hauptverfasser: 严珍珍, 陈二才
Format: Artikel
Sprache:chi
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Zusammenfassung:O241.6; 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.
ISSN:1674-5647
DOI:10.3969/j.issn.1674-5647.2008.06.001