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Volumn 194, Issue 2, 2009, Pages 197-205

Lipschitz equivalence of graph-directed fractals

Author keywords

Fractal; Graph directed sets; Lipschitz equivalence; Quasi lipschitz equivalence

Indexed keywords


EID: 72149084638     PISSN: 00393223     EISSN: None     Source Type: Journal    
DOI: 10.4064/sm194-2-6     Document Type: Article
Times cited : (12)

References (14)
  • 2
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    • Fractured fractals and broken dreams. Self-similar geometry through metric and measure
    • Clarendon Press, New York
    • G. David and S. Semmes, Fractured Fractals and Broken Dreams. Self-Similar Geometry through Metric and Measure, Oxford Lecture Ser. Math. Appl. 7, Clarendon Press, New York, 1997.
    • (1997) Oxford Lecture Ser. Math. Appl. , vol.7
    • David, G.1    Semmes, S.2
  • 4
    • 0038969916 scopus 로고
    • Classification of quasi-circles by Hausdorff dimension
    • K. J. Falconer and D. T. Marsh, Classification of quasi-circles by Hausdorff dimension, Nonlinearity 2 (1989), 489-493.
    • (1989) Nonlinearity , vol.2 , pp. 489-493
    • Falconer, K.J.1    Marsh, D.T.2
  • 5
    • 84971845283 scopus 로고
    • On the Lipschitz equivalence of cantor sets
    • On the Lipschitz equivalence of Cantor sets, Mathematika 39 (1992), 223-233.
    • (1992) Mathematika , vol.39 , pp. 223-233
  • 6
    • 0001265433 scopus 로고
    • Fractals and self similarity
    • J. E. Hutchinson, Fractals and self similarity, Indiana Univ. Math. J. 30 (1981), 713-747.
    • (1981) Indiana Univ. Math. J. , vol.30 , pp. 713-747
    • Hutchinson, J.E.1
  • 7
    • 84966230972 scopus 로고
    • Hausdorff dimension in graph directed constructions
    • R. D. Mauldin and S. C. Williams, Hausdorff dimension in graph directed constructions, Trans. Amer. Math. Soc. 309 (1988), 811-829.
    • (1988) Trans. Amer. Math. Soc. , vol.309 , pp. 811-829
    • Mauldin, R.D.1    Williams, S.C.2
  • 8
    • 30544437821 scopus 로고    scopus 로고
    • Lipschitz equivalence of self-similar sets
    • H. Rao, H. J. Ruan, and L. F. Xi, Lipschitz equivalence of self-similar sets, C. R. Math. Acad. Sci. Paris 342 (2006), 191-196.
    • (2006) C. R. Math. Acad. Sci. Paris , vol.342 , pp. 191-196
    • Rao, H.1    Ruan, H.J.2    Xi, L.F.3
  • 9
    • 0141837067 scopus 로고    scopus 로고
    • Relations among whitney sets, self-similar arcs and quasiarcs
    • Z. Y. Wen and L. F. Xi, Relations among Whitney sets, self-similar arcs and quasiarcs, Israel J. Math. 136 (2003), 251-267.
    • (2003) Israel J. Math. , vol.136 , pp. 251-267
    • Wen, Z.Y.1    Xi, L.F.2
  • 10
    • 7544228211 scopus 로고    scopus 로고
    • Lipschitz equivalence of self-conformal sets
    • L. F. Xi, Lipschitz equivalence of self-conformal sets, J. London Math. Soc. (2) 70 (2004), 369-382.
    • (2004) J. London Math. Soc. , vol.70 , Issue.2 , pp. 369-382
    • Xi, L.F.1
  • 11
    • 35448974355 scopus 로고    scopus 로고
    • Quasi-Lipschitz equivalence of fractals
    • Quasi-Lipschitz equivalence of fractals, Israel J. Math. 160 (2007), 1-21.
    • (2007) Israel J. Math. , vol.160 , pp. 1-21
  • 13
    • 35448987758 scopus 로고    scopus 로고
    • Lipschitz equivalence of generalized {1,3,5,}-{1,4,5} self-similar sets
    • L. F. Xi and H. J. Ruan, Lipschitz equivalence of generalized {1,3,5,}-{1,4,5} self-similar sets, Sci. China Ser. A 50 (2007), 1537-1551.
    • (2007) Sci. China Ser. A , vol.50 , pp. 1537-1551
    • Xi, L.F.1    Ruan, H.J.2
  • 14
    • 34547158184 scopus 로고    scopus 로고
    • Sliding of self-similar sets
    • ibid
    • L. F. Xi, H. J. Ruan, and Q. L. Guo, Sliding of self-similar sets, Sci. China Ser. A 50 (2007), 351-360.
    • (2007) Sci. China Ser. A , vol.50 , pp. 351-360
    • Xi, L.F.1    Ruan, H.J.2    Guo, Q.L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.