The Devil?s Staircase Dimensions and Measure-Theoretical Entropy of Maps with Horizontal Gap
نویسندگان
چکیده
منابع مشابه
The Devil’s Staircase Dimensions and Measure-theoretical Entropy of Maps with Horizontal Gap
This work elucidates the measure-theoretical entropy and dimensions of a unimodal map with a horizontal gap. The measure-theoretical entropy and dimensions of the Ft (which is defined later )are shown to form a devil’s staircase structure with respect to the gap size t. Pesin’s formula for gap maps is also considered .
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ژورنال
عنوان ژورنال: Journal of Dynamics and Differential Equations
سال: 2004
ISSN: 1040-7294,1572-9222
DOI: 10.1007/s10884-004-6697-3