Multifractal decompositions of Moran fractals

[1]  A. Besicovitch.  On the sum of digits of real numbers represented in the dyadic system. , 1935 .

[2]  P. A. P. Moran,et al.  Additive functions of intervals and Hausdorff measure , 1946, Mathematical Proceedings of the Cambridge Philosophical Society.

[3]  H. Eggleston.  The fractional dimension of a set defined by decimal properties , 1949 .

[4]  Patrick Billingsley,et al.  Hausdorff dimension in probability theory II , 1960 .

[5]  A. Avez,et al.  Ergodic theory of dynamical systems , 1966 .

[6]  Singular measures and Hausdorff measures , 1969 .

[7]  B. Mandelbrot.  Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier , 1974, Journal of Fluid Mechanics.

[8]  L. Young.  Dimension, entropy and Lyapunov exponents , 1982, Ergodic Theory and Dynamical Systems.

[9]  H. G. E. Hentschel,et al.  The infinite number of generalized dimensions of fractals and strange attractors , 1983 .

[10]  P. Grassberger.  Generalized dimensions of strange attractors , 1983 .

[11]  P. Grassberger,et al.  Characterization of Strange Attractors , 1983 .

[12]  Roberto Benzi,et al.  On the multifractal nature of fully developed turbulence and chaotic systems , 1984 .

[13]  M. Mézard,et al.  Replica symmetry breaking and the nature of the spin glass phase , 1984 .

[14]  Peter Grassberger,et al.  Generalizations of the Hausdorff dimension of fractal measures , 1985 .

[15]  M. Barnsley,et al.  Iterated function systems and the global construction of fractals , 1985, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[16]  K. Falconer.  The geometry of fractal sets , 1985 .

[17]  Michael Ghil,et al.  Turbulence and predictability in geophysical fluid dynamics and climate dynamics , 1985 .

[18]  Jensen,et al.  Fractal measures and their singularities: The characterization of strange sets. , 1987, Physical review. A, General physics.

[19]  Giorgio Parisi,et al.  The Nature of the Spin Glass Phase , 1987 .

[20]  David A. Rand,et al.  The entropy function for characteristic exponents , 1987 .

[21]  Pierre Collet,et al.  The dimension spectrum of some dynamical systems , 1987 .

[22]  秦 浩起,et al.  Characterization of Strange Attractor (カオスとその周辺(基研長期研究会報告)) , 1987 .

[23]  M. Mézard,et al.  Spin Glass Theory and Beyond , 1987 .

[24]  R. Daniel Mauldin,et al.  Hausdorff dimension in graph directed constructions , 1988 .

[25]  A. Lopes.  The dimension spectrum of the maximal measure , 1989 .

[26]  Hausdorff, Packing and Capacity Dimensions , 1989 .

[27]  M. Geyer,et al.  Statistical mechanics of a neurobiological dynamical system: The spectrum of local entropies (S(α)) applied to cocaine-perturbed behavior , 1991 .

[28]  R. Mauldin,et al.  Multifractal decompositions of digraph recursive fractals , 1992 .

[29]  Donald W. Spear.  Measures and self similarity , 1992 .