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Volumn 124, Issue , 2001, Pages 61-76

A dimension gap for continued fractions with independent digits

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EID: 0035649469     PISSN: 00212172     EISSN: 15658511     Source Type: Journal    
DOI: 10.1007/BF02772607     Document Type: Article
Times cited : (28)

References (13)
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    • V. Baladi and G. Keller, Zeta function and transfer operators for piecewise monotone transformations, Communications in Mathematical Physics 127 (1990), 459-477.
    • (1990) Communications in Mathematical Physics , vol.127 , pp. 459-477
    • Baladi, V.1    Keller, G.2
  • 6
    • 84871156315 scopus 로고
    • Doeblin and the metric theory of continued fractions: A functional theoretic solution to Gauss' 1812 problem
    • M. Iosifescu, Doeblin and the metric theory of continued fractions: a functional theoretic solution to Gauss' 1812 problem, Contemporary Mathematics 149 (1993), 97-110.
    • (1993) Contemporary Mathematics , vol.149 , pp. 97-110
    • Iosifescu, M.1
  • 9
    • 51249176274 scopus 로고
    • On the thermodynamic formalismfor Gauss map
    • D. Mayer, On the thermodynamic formalismfor Gauss map, Communications in Mathematical Physics 130 (1990), 311-333.
    • (1990) Communications in Mathematical Physics , vol.130 , pp. 311-333
    • Mayer, D.1
  • 10
    • 0033216645 scopus 로고    scopus 로고
    • Multifractal analysis of Lyapunov exponent for continued fraction and Manneville-Pomeau transformations and applications to Diophantine approximations
    • M. Pollicott and H. Weiss, Multifractal analysis of Lyapunov exponent for continued fraction and Manneville-Pomeau transformations and applications to Diophantine approximations, Communications in Mathematical Physics 207 (1999), 145-171.
    • (1999) Communications in Mathematical Physics , vol.207 , pp. 145-171
    • Pollicott, M.1    Weiss, H.2
  • 11
    • 0040341424 scopus 로고
    • Representations for real numbers and their ergodic properties
    • A. Rényi, Representations for real numbers and their ergodic properties, Acta Mathematica Academiae Scientiarum Hungaricae 8 (1957), 477-493.
    • (1957) Acta Mathematica Academiae Scientiarum Hungaricae , vol.8 , pp. 477-493
    • Rényi, A.1
  • 13
    • 84968476187 scopus 로고
    • Invariant measures and equilibrium states for some mappings which expand distances
    • P. Walters, Invariant measures and equilibrium states for some mappings which expand distances, Transactions of the American Mathematical Society 236 (1978), 121-153.
    • (1978) Transactions of the American Mathematical Society , vol.236 , pp. 121-153
    • Walters, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.