메뉴 건너뛰기




Volumn 19, Issue 3, 1997, Pages 332-354

Inversion Formula for Continuous Multifractals

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0007380679     PISSN: 01968858     EISSN: None     Source Type: Journal    
DOI: 10.1006/aama.1997.0550     Document Type: Article
Times cited : (18)

References (30)
  • 1
    • 0002387490 scopus 로고    scopus 로고
    • Self-similar random multifractals
    • Arbeiter M., Patzschke N. Self-similar random multifractals. Math. Nachr. 181:1996;5-42.
    • (1996) Math. Nachr , vol.181 , pp. 5-42
    • Arbeiter, M.1    Patzschke, N.2
  • 3
    • 44049118235 scopus 로고
    • Multifractal decompositions of Moran fractals
    • Cawley R., Mauldin R. D. Multifractal decompositions of Moran fractals. Adv. Math. 92:1992;196-236.
    • (1992) Adv. Math. , vol.92 , pp. 196-236
    • Cawley, R.1    Mauldin, R.D.2
  • 4
    • 0001141522 scopus 로고
    • The dimension spectrum of some dynamical systems
    • Collet P., Lebovitc J., Porcio A. The dimension spectrum of some dynamical systems. J. Statist. Phys. 47:1987;609-644.
    • (1987) J. Statist. Phys. , vol.47 , pp. 609-644
    • Collet, P.1    Lebovitc, J.2    Porcio, A.3
  • 5
    • 0002334734 scopus 로고
    • Large deviations for a general class of random vectors
    • Ellis R. Large deviations for a general class of random vectors. Ann. Probab. 12:1984;1-12.
    • (1984) Ann. Probab. , vol.12 , pp. 1-12
    • Ellis, R.1
  • 7
    • 7944232130 scopus 로고
    • The multifractal spectrum of statistically self-similar measures
    • Falconer K. J. The multifractal spectrum of statistically self-similar measures. J. Theoret. Probab. 7:1994;681-702.
    • (1994) J. Theoret. Probab. , vol.7 , pp. 681-702
    • Falconer, K.J.1
  • 9
    • 0001265433 scopus 로고
    • Fractals and self similarity
    • Hutchinson J. Fractals and self similarity. Indiana Univ. Math. J. 30:1981;713-747.
    • (1981) Indiana Univ. Math. J. , vol.30 , pp. 713-747
    • Hutchinson, J.1
  • 10
    • 0003329153 scopus 로고
    • Sur certaines martingales de Benoit Mandelbrot
    • Kahane J.-P., Peyrière J. Sur certaines martingales de Benoit Mandelbrot. Adv. Math. 22:1976;131-145.
    • (1976) Adv. Math. , vol.22 , pp. 131-145
    • Kahane, J.-P.1    Peyrière, J.2
  • 11
    • 0033555068 scopus 로고    scopus 로고
    • Multifractal measures and a weak separation condition
    • K.-S. Lau, S.-M. Ngai, Multifractal measures and a weak separation condition, Adv. Math.
    • Adv. Math.
    • Lau, K.-S.1    Ngai, S.-M.2
  • 12
    • 0039443775 scopus 로고    scopus 로고
    • Multifractal analysis of Choquet capacities: Preliminary results
    • J. Levy-Vehel, R. Vojak, Multifractal analysis of Choquet capacities: Preliminary results, Adv. Appl. Math.
    • Adv. Appl. Math.
    • Levy-Vehel, J.1    Vojak, R.2
  • 14
    • 0001102867 scopus 로고
    • Exactly self-similar left sided multifractal measures
    • Mandelbrot B. B., Evertsz C. J. G., Hayakawa Y. Exactly self-similar left sided multifractal measures. Phys. Rev. A. 42:1990;4528-4536.
    • (1990) Phys. Rev. a , vol.42 , pp. 4528-4536
    • Mandelbrot, B.B.1    Evertsz, C.J.G.2    Hayakawa, Y.3
  • 15
    • 0015969022 scopus 로고
    • Intermittent turbulence in self similar cascades: Divergence of high moments and dimension of the carrier
    • Mandelbrot B. B. Intermittent turbulence in self similar cascades: divergence of high moments and dimension of the carrier. J. Fluid Mech. 62:1974;331-331.
    • (1974) J. Fluid Mech. , vol.62 , pp. 331-331
    • Mandelbrot, B.B.1
  • 16
    • 0011001056 scopus 로고
    • A class of multifractal measures with negative (latent) values for the 'dimension'f
    • New York: Plenum. p. 3-29
    • Mandelbrot B. B. A class of multifractal measures with negative (latent) values for the 'dimension'f. Fractals' Physical Origin and Properties. 1989;Plenum, New York. p. 3-29.
    • (1989) Fractals' Physical Origin and Properties
    • Mandelbrot, B.B.1
  • 17
    • 44949288993 scopus 로고
    • New 'anomalous' multiplicative multifractals: Left-sidedf
    • Mandelbrot B. B. New 'anomalous' multiplicative multifractals: Left-sidedf. Physica A. 168:1990;95-111.
    • (1990) Physica a , vol.168 , pp. 95-111
    • Mandelbrot, B.B.1
  • 18
    • 0030671587 scopus 로고    scopus 로고
    • Inverse measures, the inversion formula and discontinuous multifractals
    • Mandelbrot B. B., Riedi R. H. Inverse measures, the inversion formula and discontinuous multifractals. Adv. Appl. Math. 18:1997;50-58.
    • (1997) Adv. Appl. Math. , vol.18 , pp. 50-58
    • Mandelbrot, B.B.1    Riedi, R.H.2
  • 19
    • 33646913445 scopus 로고    scopus 로고
    • Dimension and measures in infinite iterated function systems
    • Mauldin R. D., Urbanski M. Dimension and measures in infinite iterated function systems. Proc. London Math. Soc. 73:1996;105-154.
    • (1996) Proc. London Math. Soc. , vol.73 , pp. 105-154
    • Mauldin, R.D.1    Urbanski, M.2
  • 20
    • 0003344201 scopus 로고
    • Random geometrically graph directed self-similar multifractals
    • Olsen L. Random geometrically graph directed self-similar multifractals. Pitman Res. Notes, Math. Ser. 307:1994.
    • (1994) Pitman Res. Notes, Math. Ser. , vol.307
    • Olsen, L.1
  • 21
    • 21444441654 scopus 로고    scopus 로고
    • A multifractal analysis of equilibrium measures for conformal expanding maps and Moran-like geometric constructions
    • Pesin Y., Weiss H. A multifractal analysis of equilibrium measures for conformal expanding maps and Moran-like geometric constructions. J. Statist. Phys. 86:1997;233-275.
    • (1997) J. Statist. Phys. , vol.86 , pp. 233-275
    • Pesin, Y.1    Weiss, H.2
  • 22
    • 21344433406 scopus 로고    scopus 로고
    • Numerical estimates of generalized dimensionsDqq
    • Pastor-Satorras R., Riedi R. H. Numerical estimates of generalized dimensionsDqq. J. Phys. A. 29:1996;391-398.
    • (1996) J. Phys. a , vol.29 , pp. 391-398
    • Pastor-Satorras, R.1    Riedi, R.H.2
  • 23
    • 0040629111 scopus 로고    scopus 로고
    • J. Peyrière, 1995
    • J. Peyrière, 1995.
  • 25
    • 58149362177 scopus 로고
    • An improved multifractal formalism and self-similar measures
    • Riedi R. H. An improved multifractal formalism and self-similar measures. J. Math. Anal. Appl. 189:1995;462-490.
    • (1995) J. Math. Anal. Appl. , vol.189 , pp. 462-490
    • Riedi, R.H.1
  • 27
    • 0011001058 scopus 로고
    • Multifractal formalism for infinite multinomial measures
    • Riedi R. H., Mandelbrot B. B. Multifractal formalism for infinite multinomial measures. Adv. Appl. Math. 16:1995;132-150.
    • (1995) Adv. Appl. Math. , vol.16 , pp. 132-150
    • Riedi, R.H.1    Mandelbrot, B.B.2
  • 29
    • 21344482565 scopus 로고
    • Wavelets and self-affine tilings
    • Strichartz R. S. Wavelets and self-affine tilings. Constr. Approx. 9:1993;327-346.
    • (1993) Constr. Approx. , vol.9 , pp. 327-346
    • Strichartz, R.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.