Lipschitz equivalence of generalized {1,3,5}-{1,4,5} self-similar sets

Article Properties
Cite
Xi, Li-feng, and Huo-jun Ruan. “Lipschitz Equivalence of Generalized {1,3,5}-{1,4,5} Self-Similar Sets”. Science in China Series A: Mathematics, vol. 50, no. 11, 2007, pp. 1537-51, https://doi.org/10.1007/s11425-007-0113-5.
Xi, L.- feng, & Ruan, H.- jun. (2007). Lipschitz equivalence of generalized {1,3,5}-{1,4,5} self-similar sets. Science in China Series A: Mathematics, 50(11), 1537-1551. https://doi.org/10.1007/s11425-007-0113-5
Xi L feng, Ruan H jun. Lipschitz equivalence of generalized {1,3,5}-{1,4,5} self-similar sets. Science in China Series A: Mathematics. 2007;50(11):1537-51.
Refrences
Title Journal Journal Categories Citations Publication Date
Quasi-Lipschitz equivalence of fractals Israel Journal of Mathematics
  • Science: Mathematics
 20 2007
Lipschitz equivalence of self-similar sets Comptes Rendus. Mathématique
  • Science: Mathematics
  • Science: Mathematics
 44 2006
10.1112/S0024610704005630 Journal of the London Mathematical Society
  • Science: Mathematics
 2004
10.1007/BF02807200 Israel Journal of Mathematics
  • Science: Mathematics
 2003
A Class of Self-Similar Fractals with Overlap Structure Advances in Applied Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 45 1998
Refrences Analysis
Category Category Repetition
Science: Mathematics10
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods2
The category Science: Mathematics 10 is the most frequently represented among the references in this article. It primarily includes studies from Israel Journal of Mathematics The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
Title Journal Journal Categories Citations Publication Date
Lipschitz classification of self-similar sets with overlaps

 Monatshefte für Mathematik
  • Science: Mathematics
 2021
Algebraic criteria for Lipschitz equivalence of dust‐like self‐similar sets Journal of the London Mathematical Society
  • Science: Mathematics
 4 2020
Self‐similar sets, simple augmented trees and their Lipschitz equivalence Journal of the London Mathematical Society
  • Science: Mathematics
 8 2018
LIPSCHITZ EQUIVALENCE OF CANTOR SETS AND IRREDUCIBILITY OF POLYNOMIALS Mathematika
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2018
SELF-SIMILARITY AND LIPSCHITZ EQUIVALENCE OF UNIONS OF CANTOR SETS

 Fractals
  • Science: Mathematics
  • Science: Science (General)
  • Science: Mathematics
 2018
Citations Analysis
Category Category Repetition
Science: Mathematics21
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods10
Science: Science (General)4
The category Science: Mathematics 21 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Lipschitz equivalence of dust-like self-similar sets and was published in 2009. The most recent citation comes from a 2021 study titled Lipschitz classification of self-similar sets with overlaps. This article reached its peak citation in 2011, with 4 citations. It has been cited in 11 different journals. Among related journals, the Fractals cited this research the most, with 4 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year