ISSN:
1436-5081
Keywords:
26A18
;
28D99
;
54H20
;
Piecewise monotonic transformation
;
Fractal dimension
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We consider completely invariant subsetsA of expanding piecewise monotonic transformationsT on [0, 1]. An estimate of the box dimension of such setsA in terms of a certain pressure function is given, which implies equality of box dimension and Hausdorff dimension ofA.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01298950
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