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Volumn 91, Issue 1-2, 1998, Pages 17-29

On the regularity of the multifractal spectrum of Bernoulli Convolutions

Author keywords

Multifractal analysis; Random matrices; Thermodynamic formalism

Indexed keywords


EID: 0039758139     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1023027718308     Document Type: Article
Times cited : (8)

References (12)
  • 3
    • 85204043364 scopus 로고    scopus 로고
    • Fractal measures and their singularities
    • T. Halsey, H. Jensen, L. Kadanoff, I. Procaccia, and B. Shraiman, Fractal measures and their singularities, Phys. Rev. A 33 (1986); P. Collet, J. Lebowitz, and A. Porzio, The dimension spectrum of some dynamical systems, J. Stat. Phys. 47(5/6) (1987).
    • Phys. Rev. A , vol.33 , pp. 1986
    • Halsey, T.1    Jensen, H.2    Kadanoff, L.3    Procaccia, I.4    Shraiman, B.5
  • 4
    • 0001141522 scopus 로고
    • The dimension spectrum of some dynamical systems
    • T. Halsey, H. Jensen, L. Kadanoff, I. Procaccia, and B. Shraiman, Fractal measures and their singularities, Phys. Rev. A 33 (1986); P. Collet, J. Lebowitz, and A. Porzio, The dimension spectrum of some dynamical systems, J. Stat. Phys. 47(5/6) (1987).
    • (1987) J. Stat. Phys. , vol.47 , Issue.5-6
    • Collet, P.1    Lebowitz, J.2    Porzio, A.3
  • 6
    • 0001707212 scopus 로고
    • A dimension formula for bernoulli convolutions
    • F. Ledrappier and A. Porzio, A dimension formula for Bernoulli convolutions, J. Stat. Phys. 76(5/6) (1994). On the multifractal analysis of Bernoulli Convolutions, Part I: Large deviations results, Part II: Dimensions, in Journal of Statistical Physics (1996).
    • (1994) J. Stat. Phys. , vol.76 , Issue.5-6
    • Ledrappier, F.1    Porzio, A.2
  • 7
    • 85204067511 scopus 로고    scopus 로고
    • On the multifractal analysis of bernoulli convolutions, part I: Large deviations results, part II: Dimensions
    • F. Ledrappier and A. Porzio, A dimension formula for Bernoulli convolutions, J. Stat. Phys. 76(5/6) (1994). On the multifractal analysis of Bernoulli Convolutions, Part I: Large deviations results, Part II: Dimensions, in Journal of Statistical Physics (1996).
    • (1996) Journal of Statistical Physics
  • 8
    • 0000271607 scopus 로고
    • Zeta functions and the periodic orbit structure of hyperbolic dynamics
    • W. Parry and M. Pollicott, Zeta functions and the periodic orbit structure of hyperbolic dynamics, Asterisque (1990).
    • (1990) Asterisque
    • Parry, W.1    Pollicott, M.2
  • 12
    • 0001379490 scopus 로고
    • Ruelle's operator theorem and g-measures
    • P. Walters, Ruelle's operator theorem and g-measures, Trans. Amer. Math. Soc. 214 (1975).
    • (1975) Trans. Amer. Math. Soc. , vol.214
    • Walters, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.