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Lipschitz Equivalence of Self‐Conformal Sets
Author(s) -
Xi Li-Feng
Publication year - 2004
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610704005630
Subject(s) - conformal map , equivalence (formal languages) , mathematics , pure mathematics , lipschitz continuity , mathematical analysis
The paper proves that any two dust‐like invariant sets of conformal iterated function systems have the same Hausdorff dimension if and only if they are nearly Lipschitz equivalent.
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