메뉴 건너뛰기




Volumn 129, Issue 9, 2001, Pages 2689-2699

Equivalence of positive hausdorff measure and the open set condition for self-conformal sets

Author keywords

Hausdorfl measure; Open set condition; Self conformal set

Indexed keywords


EID: 33646836094     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-01-05969-x     Document Type: Article
Times cited : (81)

References (11)
  • 1
    • 0001629075 scopus 로고
    • Self-similar sets 7. a characterization of self-similar fractals with positive Hausdorff measure
    • MR 93d:28014
    • G. Bandt, S. Graf, Self-similar sets 7. A characterization of self-similar fractals with positive Hausdorff measure. Proc. Amer. Math. Soc. 114 (1992), 995-1001. MR 93d:28014
    • (1992) Proc. Amer. Math. Soc. , vol.114 , pp. 995-1001
    • Bandt, G.1    Graf, S.2
  • 2
    • 33646853661 scopus 로고
    • Applications of dynamical systems theory to fractals -a study of cookie-cutter Cantor sets, in
    • 1-44, Kluwer, 05
    • T. Bedford, Applications of dynamical systems theory to fractals -a study of cookie-cutter Cantor sets, in Fractal Geometry and Analysis, J. Bélair and S. Dubuc (eds.), 1-44, Kluwer, (1991). CMP 92:05
    • (1991) Fractal Geometry and Analysis, J. Bélair and S. Dubuc (Eds.) , pp. 92
    • Bedford, T.1
  • 5
    • 0000079707 scopus 로고    scopus 로고
    • Iterated function systems and Ruelle operator
    • CMP 99:09
    • A. H. Fan, K.-S. Lau, Iterated function systems and Ruelle operator. J. Math. Analysis Applic. 231 (1999), 319-344. CMP 99:09
    • (1999) J. Math. Analysis Applic. , vol.231 , pp. 319-344
    • Fan, A.H.1    Lau, K.-S.2
  • 6
    • 0001265433 scopus 로고
    • Fractals and self-similarity
    • MR 82h:49026
    • J. E. Hutchinson, Fractals and self-similarity. Indiana Univ. Math. J. 30 (1981), 713-747. MR 82h:49026
    • (1981) Indiana Univ. Math. J. , vol.30 , pp. 713-747
    • Hutchinson, J.E.1
  • 7
    • 33646852049 scopus 로고
    • Infinite iterated function systems: Theory and applications
    • C. Bandt, S. Graf and M. Zähle (Editors), 91-110, Birkhäuser, MR 97c:28013
    • R. D. Mauldin, Infinite iterated function systems: theory and applications, Fractals and Stochastics I, Proceedings of the Finstenbergen 1994 Conference, C. Bandt, S. Graf and M. Zähle (Editors), 91-110, Birkhäuser, (1995). MR 97c:28013
    • (1995) Fractals and Stochastics I, Proceedings of the Finstenbergen 1994 Conference
    • Mauldin, R.D.1
  • 8
    • 0031281577 scopus 로고    scopus 로고
    • Self-conformal multifractal measures
    • MR 99c:28020
    • N. Patzschke, Self-conformal multifractal measures. Adv. Appl. Math. 19 (1997), 486-513. MR 99c:28020
    • (1997) Adv. Appl. Math. , vol.19 , pp. 486-513
    • Patzschke, N.1
  • 9
    • 84971178557 scopus 로고
    • Functions continuous and singular with respect to a Hausdorff measure
    • MR 24:A200
    • C. A. Rogers, S. J. Taylor, Functions continuous and singular with respect to a Hausdorff measure. Mathematika 8 (1962), 1-31. MR 24:A200
    • (1962) Mathematika , vol.8 , pp. 1-31
    • Rogers, C.A.1    Taylor, S.J.2
  • 10
    • 84926802106 scopus 로고
    • Repellers for real analytic maps
    • MR 84f:58095
    • D. Ruelle, Repellers for real analytic maps, Ergod. Th. and Dynam. Sys. 2 (1982), 99-107. MR 84f:58095
    • (1982) Ergod. Th. and Dynam. Sys. , vol.2 , pp. 99-107
    • Ruelle, D.1
  • 11
    • 84966239752 scopus 로고
    • Separation properties for self-similar sets
    • MR 94k:28012
    • A. Schief, Separation properties for self-similar sets. Proc. Amer. Math. Soc. 122 (1994), 111-115. MR 94k:28012
    • (1994) Proc. Amer. Math. Soc. , vol.122 , pp. 111-115
    • Schief, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.