메뉴 건너뛰기




Volumn 86, Issue 5-6, 1997, Pages 1313-1336

Multifractal analysis of infinite products

Author keywords

Gibbs measure; Multifractal analysis; Pressure function; Riesz product

Indexed keywords


EID: 0040600652     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02183625     Document Type: Article
Times cited : (36)

References (35)
  • 1
    • 0000157863 scopus 로고
    • The entropy function for characteristic exponents
    • R. Bohr and D. Rand, The entropy function for characteristic exponents, Physica 25D:387-398 (1987).
    • (1987) Physica , vol.25 D , pp. 387-398
    • Bohr, R.1    Rand, D.2
  • 4
    • 0000671226 scopus 로고
    • On the multifractal analysis of measures
    • G. Brown, G. Michon, and J. Pcyrière, On the multifractal analysis of measures, J. Stat. Phys. 66:775-790 (1992).
    • (1992) J. Stat. Phys. , vol.66 , pp. 775-790
    • Brown, G.1    Michon, G.2    Pcyrière, J.3
  • 5
    • 44049118235 scopus 로고
    • Multifractal decompositions of moran fractals
    • R. Cawley and R. D. Mauldin, Multifractal decompositions of Moran fractals, Adv. Math. 92:196-236 (1992).
    • (1992) Adv. Math. , vol.92 , pp. 196-236
    • Cawley, R.1    Mauldin, R.D.2
  • 6
    • 0040605941 scopus 로고
    • Hausdorff dimension of singularities for invariant measures of expanding dynamical systems
    • R. Bamón et al., eds. Springer-Verlag, Berlin
    • P. Collet, Hausdorff dimension of singularities for invariant measures of expanding dynamical systems, in Dynamical Systems Valparaiso 1986, R. Bamón et al., eds. (Springer-Verlag, Berlin, 1988).
    • (1986) Dynamical Systems Valparaiso
    • Collet, P.1
  • 7
    • 0001141522 scopus 로고
    • The dimension spectrum of some dynamical systems
    • P. Collet, J. L. Lebowitz, and A. Porzio, The dimension spectrum of some dynamical systems, J. Stat. Phys. 47:609-644 (1987).
    • (1987) J. Stat. Phys. , vol.47 , pp. 609-644
    • Collet, P.1    Lebowitz, J.L.2    Porzio, A.3
  • 8
    • 0002334734 scopus 로고
    • Large deviations for a class of random vectors
    • R. S. Ellis, Large deviations for a class of random vectors, Ann. Prob. 12:1-12 (1984).
    • (1984) Ann. Prob. , vol.12 , pp. 1-12
    • Ellis, R.S.1
  • 9
    • 0003002997 scopus 로고
    • Sur les dimensions de mesures
    • A. H. Fan, Sur les dimensions de mesures, Studia Math. 111(1):1-17 (1994).
    • (1994) Studia Math. , vol.111 , Issue.1 , pp. 1-17
    • Fan, A.H.1
  • 10
    • 0041195494 scopus 로고    scopus 로고
    • On uniqueness of G-measures and g-measures
    • A. H. Fan, On uniqueness of G-measures and g-measures, Studia Math. 119(3):255-269 (1996).
    • (1996) Studia Math. , vol.119 , Issue.3 , pp. 255-269
    • Fan, A.H.1
  • 11
    • 0039420561 scopus 로고    scopus 로고
    • Ergodicity, unidimensionality and multifractality of self-similar measures
    • to appear
    • A. H. Fan, Ergodicity, unidimensionality and multifractality of self-similar measures, Kyushu J. Math., to appear.
    • Kyushu J. Math.
    • Fan, A.H.1
  • 12
    • 0040605940 scopus 로고
    • Analyse multifractale de certains produits de Riesz
    • A. H. Fan, Analyse multifractale de certains produits de Riesz, C. R. Acad. Sci. Paris I 321:399-404 (1995).
    • (1995) C. R. Acad. Sci. Paris I , vol.321 , pp. 399-404
    • Fan, A.H.1
  • 13
    • 0001816154 scopus 로고
    • On the singularity structure of fully developed turbulence, appendix to U. Frisch, fully developed turbulence and intermittence
    • North-Holland, Amsterdam
    • U. Frisch and G. Parisi, On the singularity structure of fully developed turbulence, appendix to U. Frisch, Fully developed turbulence and intermittence, in Turbulence and Predictability in Geophysical Fluid Dynamics and Climate Dynamics (North-Holland, Amsterdam, 1985), pp. 84-88.
    • (1985) Turbulence and Predictability in Geophysical Fluid Dynamics and Climate Dynamics , pp. 84-88
    • Frisch, U.1    Parisi, G.2
  • 14
  • 15
    • 0442269813 scopus 로고
    • Strongly mixings-measures
    • M. Keane, Strongly mixings-measures, Inv. Math. 16:309-324 (1974).
    • (1974) Inv. Math. , vol.16 , pp. 309-324
    • Keane, M.1
  • 17
    • 0000815707 scopus 로고
    • Fractal measures and the mean p-variations convolutions
    • K. S. Lau, Fractal measures and the mean p-variations convolutions, J. Funct. Anal. 108:427-457 (1992).
    • (1992) J. Funct. Anal. , vol.108 , pp. 427-457
    • Lau, K.S.1
  • 19
    • 0002706785 scopus 로고
    • Mean quadratic variations and Fourier asymptotics of self-similar measures
    • K. S. Lau and J. R. Wang, Mean quadratic variations and Fourier asymptotics of self-similar measures, Monatsh. Math. 115:99-132 (1993).
    • (1993) Monatsh. Math. , vol.115 , pp. 99-132
    • Lau, K.S.1    Wang, J.R.2
  • 21
    • 0008354399 scopus 로고
    • Possible refinement of the log-normal hypothesis concerning the distribution of energy dissipation in intermittent turbulence
    • Springer-Verlag, Berlin
    • B. Mandelbrot, Possible refinement of the log-normal hypothesis concerning the distribution of energy dissipation in intermittent turbulence, in Statistical Models and Turbulence (Springer-Verlag, Berlin, 1972), pp. 333-351.
    • (1972) Statistical Models and Turbulence , pp. 333-351
    • Mandelbrot, B.1
  • 22
    • 85027614017 scopus 로고    scopus 로고
    • A multifractal formalism
    • to appear
    • L. Olsen, A multifractal formalism, Adv. Math., to appear.
    • Adv. Math.
    • Olsen, L.1
  • 23
    • 0003831421 scopus 로고
    • Cambridge University Press, Cambridge
    • K. Petersen, Ergodic Theory (Cambridge University Press, Cambridge, 1983).
    • (1983) Ergodic Theory
    • Petersen, K.1
  • 24
    • 0000913425 scopus 로고
    • Études de quelques propriétés des produits de Riesz
    • J. Peyrière, Études de quelques propriétés des produits de Riesz, Ann. Inst. Fourier 25:127-169 (1975).
    • (1975) Ann. Inst. Fourier , vol.25 , pp. 127-169
    • Peyrière, J.1
  • 25
    • 84974252535 scopus 로고
    • The singularity spectrum f(α) for cookie-cutters
    • D. Rand, The singularity spectrum f(α) for cookie-cutters, Ergod. Theory Dynam. Syst. 9:527-541 (1989).
    • (1989) Ergod. Theory Dynam. Syst. , vol.9 , pp. 527-541
    • Rand, D.1
  • 26
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, New Jersey
    • R. T. Rockafellar, Convex Analysis (Princeton University Press, Princeton, New Jersey, 1970).
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 27
    • 0004122682 scopus 로고
    • Cambridge University Press. Cambridge
    • C. R. T. Roger, Hausdorff Measures (Cambridge University Press. Cambridge, 1970).
    • (1970) Hausdorff Measures
    • Roger, C.R.T.1
  • 29
    • 0039420563 scopus 로고
    • Thèse, Université de Paris VI
    • D. Simplaere, Thèse, Université de Paris VI (1992).
    • (1992)
    • Simplaere, D.1
  • 30
    • 0040012891 scopus 로고
    • Self-similar measures and their Fourier transforms I
    • R. S. Strichartz, Self-similar measures and their Fourier transforms I, Indiana Univ. Math J. 39:155-186 (1989).
    • (1989) Indiana Univ. Math J. , vol.39 , pp. 155-186
    • Strichartz, R.S.1
  • 31
    • 0000493711 scopus 로고
    • Self-similar measures and their Fourier transforms III
    • R. S. Strichartz, Self-similar measures and their Fourier transforms III, Indiana Univ. Math J. 42:367-411 (1989).
    • (1989) Indiana Univ. Math J. , vol.42 , pp. 367-411
    • Strichartz, R.S.1
  • 33
    • 5544245347 scopus 로고
    • Fractals and multifractals
    • T. Tel, Fractals and multifractals, Z. Naturforsch. 43A:1154-1174 (1988).
    • (1988) Z. Naturforsch. , vol.43 A , pp. 1154-1174
    • Tel, T.1
  • 34
    • 84971877468 scopus 로고
    • Two definitions of fractional dimension
    • C. Tricot, Two definitions of fractional dimension. Math. Proc. Camb. Philos. Soc. 91:57-74 (1982).
    • (1982) Math. Proc. Camb. Philos. Soc. , vol.91 , pp. 57-74
    • Tricot, C.1
  • 35
    • 84953751498 scopus 로고
    • 2nd ed. Cambridge University Press, Cambridge
    • A. Zygmund, Trigonometric Series, Vols. 1 & 2, 2nd ed. (Cambridge University Press, Cambridge, 1968).
    • (1968) Trigonometric Series , vol.1-2
    • Zygmund, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.