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Volumn 19, Issue 2, 1999, Pages 523-534

Bi-invariant sets and measures have integer Hausdorff dimension

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EID: 0033470046     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S014338579912100X     Document Type: Article
Times cited : (17)

References (16)
  • 1
    • 84967780444 scopus 로고
    • Multi-invariant sets on tori
    • D. Berend. Multi-invariant sets on tori. Trans. Amer. Math. Soc. 280 (1983), 509-532.
    • (1983) Trans. Amer. Math. Soc. , vol.280 , pp. 509-532
    • Berend, D.1
  • 3
    • 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. Th. 1 (1967), 1-19.
    • (1967) Math. Sys. Th. , vol.1 , pp. 1-19
    • Furstenberg, H.1
  • 4
    • 0030444048 scopus 로고
    • Nombres normaux, entropie, translations
    • B. Host. Nombres normaux, entropie, translations. Israel J. Math. 91 (1995), 419-428.
    • (1995) Israel J. Math. , vol.91 , pp. 419-428
    • Host, B.1
  • 5
    • 51249165880 scopus 로고
    • Measures on the circle invariant under multiplication by a nonlacunary subgroup of the integers
    • A. Johnson. Measures on the circle invariant under multiplication by a nonlacunary subgroup of the integers. Israel J. Math. 77 (1992), 211-240.
    • (1992) Israel J. Math. , vol.77 , pp. 211-240
    • Johnson, A.1
  • 6
    • 0007209736 scopus 로고
    • q invariant measures on the circle
    • q invariant measures on the circle. Adv. Math. 115 (1995), 117-140.
    • (1995) Adv. Math. , vol.115 , pp. 117-140
    • Johnson, A.1    Rudolph, D.2
  • 7
    • 0030520144 scopus 로고    scopus 로고
    • Invariant measures for higher-rank hyperbolic abelian actions
    • A. Katok and R. Spatzier. Invariant measures for higher-rank hyperbolic abelian actions. Ergod. Th. & Dynam. Sys. 16 (1996), 751-778.
    • (1996) Ergod. Th. & Dynam. Sys. , vol.16 , pp. 751-778
    • Katok, A.1    Spatzier, R.2
  • 8
    • 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
  • 9
    • 0030530020 scopus 로고    scopus 로고
    • Measures of full dimension on affine invariant sets
    • R. Kenyon and Y. Peres. Measures of full dimension on affine invariant sets. Ergod. Th. & Dynam. Sys. 16 (1996), 307-323.
    • (1996) Ergod. Th. & Dynam. Sys. , vol.16 , pp. 307-323
    • Kenyon, R.1    Peres, Y.2
  • 10
    • 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
  • 11
    • 51249178044 scopus 로고
    • On measures simultaneously 2-and 3-invariant
    • R. Lyons. On measures simultaneously 2-and 3-invariant. Israel J. Math. 61 (1988), 219-224.
    • (1988) Israel J. Math. , vol.61 , pp. 219-224
    • Lyons, R.1
  • 12
    • 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
  • 15
    • 84972113917 scopus 로고
    • x2 and x3 invariant measures and entropy
    • D. J. Rudolph. x2 and x3 invariant measures and entropy. Ergod. Th. & Dynam. Sys. 10 (1990), 395-406.
    • (1990) Ergod. Th. & Dynam. Sys. , vol.10 , pp. 395-406
    • Rudolph, D.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.