메뉴 건너뛰기




Volumn 39, Issue 2, 2007, Pages 593-607

Generic validity of the multifractal formalism

Author keywords

H lder regularity; Multifractal analysis; Prevalence; Wavelet expansion

Indexed keywords

SPECTRUM ANALYSIS; THEOREM PROVING; WAVELET TRANSFORMS;

EID: 41449106156     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/060669760     Document Type: Article
Times cited : (26)

References (20)
  • 2
    • 58149326341 scopus 로고
    • The thermodynamics of fractals revisited with wavelets
    • A. ARNÉODO, E. BACRY, AND J. MUZY, The thermodynamics of fractals revisited with wavelets, Phys. A., 213 (1995), pp. 232-275.
    • (1995) Phys. A , vol.213 , pp. 232-275
    • ARNÉODO, A.1    BACRY, E.2    MUZY, J.3
  • 3
    • 0001236183 scopus 로고
    • Über die Baire 'sehe Kategorie gewisser Funktionenmengen
    • S. BANACH, Über die Baire 'sehe Kategorie gewisser Funktionenmengen, Studia Math., 3 (1931), pp. 174-179.
    • (1931) Studia Math , vol.3 , pp. 174-179
    • BANACH, S.1
  • 6
    • 0000671226 scopus 로고
    • On the multifractal analysis of measures
    • G. BROWN, G. MICHON, AND J. PEYRIÈRE, On the multifractal analysis of measures, J. Statist. Phys., 66 (1992), pp. 775-790.
    • (1992) J. Statist. Phys , vol.66 , pp. 775-790
    • BROWN, G.1    MICHON, G.2    PEYRIÈRE, J.3
  • 7
    • 51649177470 scopus 로고
    • On sets of Haar measure zero in Abelian Polish groups
    • J. CHRISTENSEN, On sets of Haar measure zero in Abelian Polish groups, Israel J. Math., 13 (1972), pp. 255-260.
    • (1972) Israel J. Math , vol.13 , pp. 255-260
    • CHRISTENSEN, J.1
  • 8
    • 33846696100 scopus 로고    scopus 로고
    • HOW smooth is almost every function in a Sobolev space?
    • A. FRAYSSE AND S. JAFFARD, HOW smooth is almost every function in a Sobolev space?, Rev. Mat. Iber. Amer., 22 (2006), pp. 663-682.
    • (2006) Rev. Mat. Iber. Amer , vol.22 , pp. 663-682
    • FRAYSSE, A.1    JAFFARD, S.2
  • 9
  • 10
    • 0003316862 scopus 로고
    • Convex Analysis and Minimization Algorithms
    • Springer-Verlag, Berlin
    • J.-B. HIRIART-URRUTY AND C. LEMARÉCHAL, Convex Analysis and Minimization Algorithms. Part 1: Fundamentals, Springer-Verlag, Berlin, 1993.
    • (1993) Fundamentals , Issue.PART 1
    • HIRIART-URRUTY, J.-B.1    LEMARÉCHAL, C.2
  • 11
    • 84967728280 scopus 로고
    • Prevalence: A translation invariant "almost every" on infinite dimensional spaces
    • B. HUNT, T. SAUER, AND J. YORKE, Prevalence: A translation invariant "almost every" on infinite dimensional spaces, Bull. Amer. Math. Soc., 27 (1992), pp. 217-238.
    • (1992) Bull. Amer. Math. Soc , vol.27 , pp. 217-238
    • HUNT, B.1    SAUER, T.2    YORKE, J.3
  • 12
    • 84966230397 scopus 로고
    • The prevalence of continuous nowhere differentiable function
    • B. HUNT, The prevalence of continuous nowhere differentiable function, Proc. Amer. Math. Soc., 122 (1994), pp. 711-717.
    • (1994) Proc. Amer. Math. Soc , vol.122 , pp. 711-717
    • HUNT, B.1
  • 13
    • 0009402820 scopus 로고    scopus 로고
    • Wavelet Methods for Pointwise Regularity and Local Oscillations of Functions
    • S. JAFFARD AND Y. MEYER, Wavelet Methods for Pointwise Regularity and Local Oscillations of Functions, Mem. Amer. Math. Soc., 123 (1996).
    • (1996) Mem. Amer. Math. Soc , vol.123
    • JAFFARD, S.1    MEYER, Y.2
  • 14
    • 0031515850 scopus 로고    scopus 로고
    • Multifractal formalism for functions Part I: Results valid for all functions
    • S. JAFFARD, Multifractal formalism for functions Part I: Results valid for all functions, SIAM J. Math. Anal., 28 (1997), pp. 944-970.
    • (1997) SIAM J. Math. Anal , vol.28 , pp. 944-970
    • JAFFARD, S.1
  • 15
    • 1842629599 scopus 로고    scopus 로고
    • Old friends revisited: The multifractal nature of some classical functions
    • S. JAFFARD, Old friends revisited: The multifractal nature of some classical functions, J. Fourier Anal. Appl., 3 (1997), pp. 1-22.
    • (1997) J. Fourier Anal. Appl , vol.3 , pp. 1-22
    • JAFFARD, S.1
  • 16
    • 0034195869 scopus 로고    scopus 로고
    • On the Frisch-Parisi conjecture
    • S. JAFFARD, On the Frisch-Parisi conjecture, J. Math. Pures Appl., 79 (2000), pp. 525-552.
    • (2000) J. Math. Pures Appl , vol.79 , pp. 525-552
    • JAFFARD, S.1
  • 17
    • 0001277608 scopus 로고
    • The local structure of turbulence in incompressible viscous fluid for every large Reynold's numbers
    • A. KOLMOGOROFF, The local structure of turbulence in incompressible viscous fluid for every large Reynold's numbers, C. R. (Doklady) Acad. Sci. URSS (N.S.), 30 (1941), pp. 301-305.
    • (1941) C. R. (Doklady) Acad. Sci. URSS (N.S.) , vol.30 , pp. 301-305
    • KOLMOGOROFF, A.1
  • 19
    • 85027614017 scopus 로고
    • A multifractal formalism
    • L. OLSEN, A multifractal formalism, Adv. Math., 116 (1995), pp. 82-196.
    • (1995) Adv. Math , vol.116 , pp. 82-196
    • OLSEN, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.