scholarly journals Divergence points of self-similar measures satisfying the OSC

2011 ◽  
Vol 379 (2) ◽  
pp. 834-841 ◽  
Author(s):  
Jia-Qing Xiao ◽  
Min Wu ◽  
Fei Gao
Keyword(s):  
Divergence Points ◽  
Self Similar

scholarly journals Divergence points of self-similar measures and packing dimension

2007 ◽  
Vol 214 (1) ◽  
pp. 267-287 ◽  
Author(s):  
I.S. Baek ◽  
L. Olsen ◽  
N. Snigireva
Keyword(s):  
Packing Dimension ◽  
Divergence Points ◽  
Self Similar

scholarly journals Multifractal Structure of the Divergence Points of Some Homogeneous Moran Measures

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
JiaQing Xiao ◽  
YouMing He
Keyword(s):  
Hausdorff Dimension ◽  
Moran Set ◽  
Divergence Point ◽  
Box Counting ◽  
Divergence Points ◽  
Self Similar

The pointxfor which the limitlimr→0⁡(log⁡μBx,r/log⁡r)does not exist is called divergence point. Recently, multifractal structure of the divergence points of self-similar measures has been investigated by many authors. This paper is devoted to the study of some Moran measures with the support on the homogeneous Moran fractals associated with the sequences of which the frequency of the letter exists; the Moran measures associated with this kind of structure are neither Gibbs nor self-similar and than complex. Such measures possess singular features because of the existence of so-called divergence points. By the box-counting principle, we analyze multifractal structure of the divergence points of some homogeneous Moran measures and show that the Hausdorff dimension of the set of divergence points is the same as the dimension of the whole Moran set.

Self-similar collapse with non-radial motions

2006 ◽  
Vol 20 ◽  
pp. 1-4
Author(s):  
A. Nusser
Keyword(s):  
Self Similar
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