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Volumn 7, Issue 1, 1997, Pages 27-38

On a general concept of multifractality: Multifractal spectra for dimensions, entropies, and Lyapunov exponents. Multifractal rigidity

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Indexed keywords


EID: 21744444008     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.166232     Document Type: Article
Times cited : (98)

References (14)
  • 1
    • 3342916075 scopus 로고
    • Fractal measures and their singularities: The characterization of strange sets
    • errata 34, 1601 (1986).
    • T. Halsey, M. Jensen, L. Kadanoff, I. Procaccia, and B. Shraiman, "Fractal measures and their singularities: The characterization of strange sets," Phys. Rev. A 34, 1141-1151 (1986); errata 34, 1601 (1986).
    • (1986) Phys. Rev. a , vol.34 , pp. 1141-1151
    • Halsey, T.1    Jensen, M.2    Kadanoff, L.3    Procaccia, I.4    Shraiman, B.5
  • 3
    • 35949018382 scopus 로고
    • Ergodic theory of chaos and strange attractors
    • J.-P. Eckmann and D. Ruelle, "Ergodic theory of chaos and strange attractors," Rev. Mod. Phys. 57, 617-656 (1985).
    • (1985) Rev. Mod. Phys. , vol.57 , pp. 617-656
    • Eckmann, J.-P.1    Ruelle, D.2
  • 5
    • 0002248505 scopus 로고    scopus 로고
    • On the pointwise dimension of hyperbolic measures: A proof of the Eckmann-Ruelle conjecture
    • the paper is available at http://www.ams.org/era/.
    • L. Barreira, Ya. Pesin, and J. Schmeling, "On the pointwise dimension of hyperbolic measures: A proof of the Eckmann-Ruelle conjecture,' ' Electron. Res. Announ. Am. Math. Soc. 2, 69-72 (1996) (the paper is available at http://www.ams.org/era/).
    • (1996) Electron. Res. Announ. Am. Math. Soc. , vol.2 , pp. 69-72
    • Barreira, L.1    Pesin, Ya.2    Schmeling, J.3
  • 7
    • 0000289991 scopus 로고
    • Fluctuations of dynamical scaling indices in nonlinear systems
    • J.-P. Eckmann and I. Procaccia, "Fluctuations of dynamical scaling indices in nonlinear systems," Phys. Rev. A 34, 659-661 (1986).
    • (1986) Phys. Rev. a , vol.34 , pp. 659-661
    • Eckmann, J.-P.1    Procaccia, I.2
  • 8
    • 84926802106 scopus 로고
    • Repellers for real analytic maps
    • D. Ruelle, "Repellers for real analytic maps," Ergodic Theory Dyn. Sys. 2, 99-107 (1982).
    • (1982) Ergodic Theory Dyn. Sys. , vol.2 , pp. 99-107
    • Ruelle, D.1
  • 10
    • 21444441654 scopus 로고    scopus 로고
    • A multifractal analysis of Gibbs measures for conformai expanding maps and Markov Moran geometric constructions
    • Ya. Pesin and H. Weiss, "A multifractal analysis of Gibbs measures for conformai expanding maps and Markov Moran geometric constructions," J. Stat. Phys. 86, 223-275 (1997).
    • (1997) J. Stat. Phys. , vol.86 , pp. 223-275
    • Pesin, Ya.1    Weiss, H.2
  • 11
    • 21744460729 scopus 로고    scopus 로고
    • The multifractal analysis of Gibbs measures: Motivation, mathematical foundation, and examples
    • Ya. Pesin and H. Weiss, "The multifractal analysis of Gibbs measures: Motivation, mathematical foundation, and examples," Chaos 7, 89-106 (1997).
    • (1997) Chaos , vol.7 , pp. 89-106
    • Pesin, Ya.1    Weiss, H.2
  • 12
    • 84871157940 scopus 로고    scopus 로고
    • On the completeness of multifractal spectra
    • to be published.
    • I2J. Schmeling, "On the completeness of multifractal spectra," Ergodic Theory Dyn. Sys. (to be published).
    • Ergodic Theory Dyn. Sys.
    • Schmeling, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.