MathSciDoc: An Archive for Mathematician ∫

 
Log In
Sign Up
Help
Go
 

Differentiability of the Lq-spectrum and Multifractal decomposition by using infinite graph-directed IFSs

Guotai Deng Central China Normal University Sze-Man Ngai Hunan Normal University and Georgia Southern University

Dynamical Systems mathscidoc:1701.11001

By constructing an infinite graph-directed iterated iterated function system associated with a finite iterated function system, we develop a new approach for proving the differentiability of the $L^q$-spectrum and establishing the multifractal formalism of certain self-similar measures with overlaps, especially those defined by similitudes with different contraction ratios. We apply our technique to a well-known class of self-similar measures of generalized finite type.
No keywords uploaded!
[ Download ] [ 2017-01-07 17:58:11 uploaded by smngai ] [ 1479 downloads ] [ 0 comments ] 
@inproceedings{guotaidifferentiability,
  title={Differentiability of the Lq-spectrum and Multifractal decomposition by using infinite graph-directed IFSs},
  author={Guotai Deng, and Sze-Man Ngai},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170107175811939321709},
}
Guotai Deng, and Sze-Man Ngai. Differentiability of the Lq-spectrum and Multifractal decomposition by using infinite graph-directed IFSs. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170107175811939321709.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved