LIPSCHITZ EQUIVALENCE OF GENERAL SIERPINSKI CARPETS

DOI10.1142/S0218348X08004022zbMath1159.28004OpenAlexW2029042353MaRDI QIDQ3598887

Meifeng Dai

Publication date: 3 February 2009

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x08004022

zbMATH Keywords

Sierpinski carpetLipschitz equivalencegraph-directed set

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (8)

CANTOR-TYPE SETS IN HYPERBOLIC NUMBERS ⋮ DIMENSION ANALYSIS OF CONTINUOUS FUNCTIONS WITH UNBOUNDED VARIATION ⋮ THE CANTOR SET’S MULTI-FRACTAL SPECTRUM FORMED BY DIFFERENT PROBABILITY FACTORS IN MATHEMATICAL EXPERIMENT ⋮ CONSTRUCTION AND ANALYSIS OF A SPECIAL ONE-DIMENSIONAL CONTINUOUS FUNCTION ⋮ BOX DIMENSION OF HADAMARD FRACTIONAL INTEGRAL OF CONTINUOUS FUNCTIONS OF BOUNDED AND UNBOUNDED VARIATION ⋮ THE PROPERTIES OF FRACTIONAL ORDER CALCULUS OF FRACTAL INTERPOLATION FUNCTION OF BROKEN LINE SEGMENTS ⋮ FRACTAL DIMENSION OF A SPECIAL CONTINUOUS FUNCTION ⋮ THE CLASSIFICATION OF ONE-DIMENSIONAL CONTINUOUS FUNCTIONS AND THEIR FRACTIONAL INTEGRAL

Cites Work

• Lipschitz equivalence of self-similar sets
• Relations among Whitney sets, self-similar arcs and quasi-arcs
• On the Lipschitz equivalence of Cantor sets
• LIPSCHITZ EQUIVALENCE OF SELF-CONFORMAL SETS
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