메뉴 건너뛰기




Volumn 16, Issue 2, 1996, Pages 307-323

Measures of full dimension on affine-invariant sets

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0030530020     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0143385700008828     Document Type: Article
Times cited : (134)

References (25)
  • 1
    • 0039048754 scopus 로고
    • A sandwich proof of the Shannon-McMillan-Breiman theorem
    • P. H. Algoet and T. M. Cover. A sandwich proof of the Shannon-McMillan-Breiman theorem. Ann. Probab. 16 (1988), 899-909
    • (1988) Ann. Probab. , vol.16 , pp. 899-909
    • Algoet, P.H.1    Cover, T.M.2
  • 3
    • 84974069716 scopus 로고
    • Generating special markov partitions for hyperbolic toral automorphisms using fractals
    • T. Bedford. Generating special Markov partitions for hyperbolic toral automorphisms using fractals. Ergod. Th. & Dynam. Sys. 6 (1986), 325-333.
    • (1986) Ergod. Th. & Dynam. Sys. , vol.6 , pp. 325-333
    • Bedford, T.1
  • 4
    • 0010760025 scopus 로고
    • The box dimension of self-affine graphs and repellers
    • T. Bedford. The box dimension of self-affine graphs and repellers. Nonlinearity 2 (1989), 53-71.
    • (1989) Nonlinearity , vol.2 , pp. 53-71
    • Bedford, T.1
  • 5
    • 84971179934 scopus 로고
    • On weierstrass-like functions and random recurrent sets
    • T. Bedford. On Weierstrass-like functions and random recurrent sets. Math. Proc. Camb. Phil. Soc. 106 (1989), 325-342.
    • (1989) Math. Proc. Camb. Phil. Soc. , vol.106 , pp. 325-342
    • Bedford, T.1
  • 7
    • 0003208028 scopus 로고
    • Equilibrium states and the ergodic theory of Anosov diffeomorphisms
    • Springer Verlag, Berlin
    • R. Bowen. Equilibrium states and the ergodic theory of Anosov diffeomorphisms. Springer Lecture Notes in Mathematics 470. Springer Verlag, Berlin, 1974.
    • (1974) Springer Lecture Notes in Mathematics , vol.470
    • Bowen, R.1
  • 8
    • 0002948206 scopus 로고
    • Recurrent sets
    • F. M. Dekking. Recurrent sets. Adv. Math. 44 (1982), 78-104.
    • (1982) Adv. Math. , vol.44 , pp. 78-104
    • Dekking, F.M.1
  • 10
    • 84974200301 scopus 로고
    • The dimension of self-affine fractals II
    • K. J. Falconer. The dimension of self-affine fractals II. Math. Proc. Camb. Phil. Soc. 111 (1992), 169-179.
    • (1992) Math. Proc. Camb. Phil. Soc. , vol.111 , pp. 169-179
    • Falconer, K.J.1
  • 11
    • 33646727744 scopus 로고
    • Disjointness in ergodic theory, minimal sets and a problem in Diophantine approximation
    • H. Furstenberg. Disjointness in ergodic theory, minimal sets and a problem in Diophantine approximation. Math. Sys. Theory 1 (1967), 1-49.
    • (1967) Math. Sys. Theory , vol.1 , pp. 1-49
    • Furstenberg, H.1
  • 12
    • 0001100272 scopus 로고
    • Hausdorff and box dimensions of certain self-affine fractals
    • D. Gatzouras and S. Lalley. Hausdorff and box dimensions of certain self-affine fractals. Indiana University Math. J. 41 (1992), 533-568.
    • (1992) Indiana University Math. J. , vol.41 , pp. 533-568
    • Gatzouras, D.1    Lalley, S.2
  • 14
    • 0000000958 scopus 로고
    • Self replicating tilings in symbolic dynamics and its applications
    • P. Walters, ed.
    • R. Kenyon. Self replicating tilings in symbolic dynamics and its applications. P. Walters, ed. Amer. Math. Soc. Contemp. Math. 135 (1991), 239-264.
    • (1991) Amer. Math. Soc. Contemp. Math. , vol.135 , pp. 239-264
    • Kenyon, R.1
  • 15
    • 0001176407 scopus 로고
    • Intersecting random translates of invariant cantor sets
    • R. Kenyon and Y. Peres. Intersecting random translates of invariant Cantor sets. Invent. Math. 104 (1991), 601-629.
    • (1991) Invent. Math. , vol.104 , pp. 601-629
    • Kenyon, R.1    Peres, Y.2
  • 16
    • 0038442464 scopus 로고    scopus 로고
    • Hausdorff dimensions of sofic affine-invariant sets
    • to appear
    • R. Kenyon and Y. Peres. Hausdorff dimensions of sofic affine-invariant sets. Israel J. Math., to appear.
    • Israel J. Math.
    • Kenyon, R.1    Peres, Y.2
  • 17
    • 0000416849 scopus 로고
    • On the dimension of some graphs. Symbolic dynamics and its applications
    • P. Walters, ed.
    • F. Ledrappier. On the dimension of some graphs. Symbolic dynamics and its applications. P. Walters, ed. Amer. Math. Soc. Contemp. Math. 135 (1991), 285-294.
    • (1991) Amer. Math. Soc. Contemp. Math. , vol.135 , pp. 285-294
    • Ledrappier, F.1
  • 18
    • 0001048955 scopus 로고
    • The metric entropy of diffeomorphisms II
    • F. Ledrappier and L. S. Young. The metric entropy of diffeomorphisms II. Ann. Math. 122 (1985), 540-574.
    • (1985) Ann. Math. , vol.122 , pp. 540-574
    • Ledrappier, F.1    Young, L.S.2
  • 19
    • 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
  • 20
    • 84972500327 scopus 로고
    • The Hausdorff dimension of general Sierpinski carpets
    • C. McMullen. The Hausdorff dimension of general Sierpinski carpets. Nagoya Math. J. 96 (1984), 1-9.
    • (1984) Nagoya Math. J. , vol.96 , pp. 1-9
    • McMullen, C.1
  • 21
    • 0040827311 scopus 로고
    • A Shannon-McMillan theorem for motley names
    • J. Propp. A Shannon-McMillan theorem for motley names. Israel J. Math. 69 (1990), 225-234.
    • (1990) Israel J. Math. , vol.69 , pp. 225-234
    • Propp, J.1
  • 22
    • 0003108925 scopus 로고
    • Lectures on the entropy theory of measuring preserving transformations
    • V. A. Rokhlin. Lectures on the entropy theory of measuring preserving transformations. Russian Math. Surveys 22 (1967), 1-52.
    • (1967) Russian Math. Surveys , vol.22 , pp. 1-52
    • Rokhlin, V.A.1
  • 23
    • 0000962544 scopus 로고
    • Replicating tesselations
    • A. Vince. Replicating Tesselations. Siam. J. Disc. Math. 6 (3) (1993), 501-521.
    • (1993) Siam. J. Disc. Math. , vol.6 , Issue.3 , pp. 501-521
    • Vince, A.1
  • 25
    • 84956256298 scopus 로고
    • Dimension, entropy and Lyapunov exponents
    • L. S. Young. Dimension, entropy and Lyapunov exponents. Ergod. Th. & Dynam. Sys. 2 (1982), 109-124.
    • (1982) Ergod. Th. & Dynam. Sys. , vol.2 , pp. 109-124
    • Young, L.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.