메뉴 건너뛰기




Volumn 63, Issue 3, 2001, Pages 655-672

Hausdorff dimension of self-similar sets with overlaps

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035376961     PISSN: 00246107     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0024610701001946     Document Type: Article
Times cited : (168)

References (18)
  • 1
    • 0007388272 scopus 로고
    • A fractal puzzle
    • G. A. EDGAR, 'A fractal puzzle', Math. Intelligencer 13 (1991) 44-50.
    • (1991) Math. Intelligencer , vol.13 , pp. 44-50
    • Edgar, G.A.1
  • 2
    • 84966211167 scopus 로고
    • Dimensions and measures of quasi self-similar sets
    • K. J. FALCONER, 'Dimensions and measures of quasi self-similar sets', Proc. Amer. Math. Soc. 106 (1989) 543-554.
    • (1989) Proc. Amer. Math. Soc. , vol.106 , pp. 543-554
    • Falconer, K.J.1
  • 5
    • 0000423920 scopus 로고
    • Arithmetic properties of Bernoulli convolutions
    • A. M. GARSIA, 'Arithmetic properties of Bernoulli convolutions', Trans. Amer. Math. Soc. 102 (1962) 409-432.
    • (1962) Trans. Amer. Math. Soc. , vol.102 , pp. 409-432
    • Garsia, A.M.1
  • 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
    • 0001523338 scopus 로고    scopus 로고
    • Projecting the one-dimensional Sierpinski gasket
    • R. KENYON, 'Projecting the one-dimensional Sierpinski gasket', Israel J. Math. 97 (1997) 221-238.
    • (1997) Israel J. Math. , vol.97 , pp. 221-238
    • Kenyon, R.1
  • 8
    • 0040799572 scopus 로고    scopus 로고
    • Tiling the line with translates of one tile
    • J. C. LAGARIAS and Y. WANG, 'Tiling the line with translates of one tile', Invent. Math. 124 (1996) 341-365.
    • (1996) Invent. Math. , vol.124 , pp. 341-365
    • Lagarias, J.C.1    Wang, Y.2
  • 9
    • 0000661853 scopus 로고    scopus 로고
    • β-expansions with deleted digits for Pisot numbers
    • S. P. LALLEY, 'β-expansions with deleted digits for Pisot numbers', Trans. Amer. Math. Soc. 349 (1997) 4355-4365.
    • (1997) Trans. Amer. Math. Soc. , vol.349 , pp. 4355-4365
    • Lalley, S.P.1
  • 10
    • 0033555068 scopus 로고    scopus 로고
    • Multifractal measures and a weak separation condition
    • K.-S. LAU and S.-M. NGAI, 'Multifractal measures and a weak separation condition', Adv. Math. 141 (1999) 45-96.
    • (1999) Adv. Math. , vol.141 , pp. 45-96
    • Lau, K.-S.1    Ngai, S.-M.2
  • 11
    • 0002242389 scopus 로고    scopus 로고
    • Iterated function systems with overlaps and self-similar measures
    • K.-S. LAU, S.-M. NGAI and H. RAO, 'Iterated function systems with overlaps and self-similar measures', J. London Math. Soc. 63 (2001) 99-116.
    • (2001) J. London Math. Soc. , vol.63 , pp. 99-116
    • Lau, K.-S.1    Ngai, S.-M.2    Rao, H.3
  • 12
    • 84963103615 scopus 로고
    • Some fundamental geometrical properties of plane sets of fractional dimensions
    • J. M. MARSTRAND, 'Some fundamental geometrical properties of plane sets of fractional dimensions', Proc. London Math. Soc. (3) 4 (1954) 257-302.
    • (1954) Proc. London Math. Soc. , vol.4 , Issue.3 , pp. 257-302
    • Marstrand, J.M.1
  • 13
    • 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
  • 14
    • 85027226384 scopus 로고    scopus 로고
    • Iterated function systems of finite type and the weak separation property
    • to appear
    • N. NGUYEN, 'Iterated function systems of finite type and the weak separation property', Proc. Amer. Math. Soc. (to appear).
    • Proc. Amer. Math. Soc.
    • Nguyen, N.1
  • 15
    • 0002546724 scopus 로고    scopus 로고
    • A class of self-similar fractals with overlap structure
    • H. RAO and Z.-Y. WEN, 'A class of self-similar fractals with overlap structure', Adv. in Appl. Math. 20 (1998) 50-72.
    • (1998) Adv. in Appl. Math. , vol.20 , pp. 50-72
    • Rao, H.1    Wen, Z.-Y.2
  • 16
    • 0034357418 scopus 로고    scopus 로고
    • On the dimensions of certain incommensurably constructed sets
    • J. J. P. VEERMAN and B. D. STOŠIĆ, 'On the dimensions of certain incommensurably constructed sets', Experiment. Math. 9 (2000) 413-423.
    • (2000) Experiment. Math. , vol.9 , pp. 413-423
    • Veerman, J.J.P.1    Stošić, B.D.2
  • 18
    • 21444443874 scopus 로고    scopus 로고
    • Weak separation properties for self-similar sets
    • M. P. W. ZERNER, 'Weak separation properties for self-similar sets', Proc. Amer. Math. Soc. 124 (1996) 3529-3539.
    • (1996) Proc. Amer. Math. Soc. , vol.124 , pp. 3529-3539
    • Zerner, M.P.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.