A dimension drop phenomenon of fractal cubes
Authors:
- Liang-Yi HuangLHLiang-Yi Huang
- Hui RaoHRHui Rao
- 1 May 2021
- journal article
- research article
- Published by Elsevier in Journal of Mathematical Analysis and Applications
- Vol. 497 (2)
Abstract
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Funding Information
- National Natural Science Foundation of China
This publication has 10 references indexed in Scilit:
- Topological Hausdorff dimension of fractal squares and its application to Lipschitz classification*Nonlinearity, 2020
- A LOWER BOUND OF TOPOLOGICAL HAUSDORFF DIMENSION OF FRACTAL SQUARESFractals, 2020
- Lipschitz equivalence of self-similar sets with two-state neighbor automatonJournal of Mathematical Analysis and Applications, 2018
- Topological invariants and Lipschitz equivalence of fractal squaresJournal of Mathematical Analysis and Applications, 2017
- A new fractal dimension: The topological Hausdorff dimensionAdvances in Mathematics, 2015
- Topological structure of fractal squaresMathematical Proceedings of the Cambridge Philosophical Society, 2013
- Self-similar sets with initial cubic patternsComptes Rendus Mathematique, 2009
- Gap sequence, Lipschitz equivalence and box dimension of fractal setsNonlinearity, 2008
- Hausdorff dimension in graph directed constructionsTransactions of the American Mathematical Society, 1988
- Topological characterization of the Sierpiński curveFundamenta Mathematicae, 1958