Hölder exponents of irregular signals and local fractional derivatives
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[1] D. Lieberman,et al. Fourier analysis , 2004, Journal of cataract and refractive surgery.
[2] Kiran M. Kolwankar,et al. Fractional differentiability of nowhere differentiable functions and dimensions. , 1996, Chaos.
[3] M. Zähle. THE AVERAGE FRACTAL DIMENSION AND PROJECTIONS OF MEASURES AND SETS IN Rn , 1995 .
[4] Bacry,et al. Oscillating singularities in locally self-similar functions. , 1995, Physical review letters.
[5] Rudolf H. Riedi,et al. An Improved Multifractal Formalism and Self Similar Measures , 1995 .
[6] G. Eyink. Besov spaces and the multifractal hypothesis , 1995 .
[7] Matthias Hollschneider. More on the analysis of local regularity through wavelets , 1994 .
[8] The geometry of turbulent advection: sharp estimates for the dimensions of level sets , 1994 .
[9] Fogedby. Lévy flights in random environments. , 1994, Physical review letters.
[10] I. Daubechies,et al. ON THE THERMODYNAMIC FORMALISM FOR MULTIFRACTAL FUNCTIONS , 1994 .
[11] Solomon,et al. Observation of anomalous diffusion and Lévy flights in a two-dimensional rotating flow. , 1993, Physical review letters.
[12] K. Miller,et al. An Introduction to the Fractional Calculus and Fractional Differential Equations , 1993 .
[13] Theo F. Nonnenmacher,et al. Fox function representation of non-debye relaxation processes , 1993 .
[14] E. Bacry,et al. Multifractal formalism for fractal signals: The structure-function approach versus the wavelet-transform modulus-maxima method. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[15] Fractional differentiation in the self-affine case I – Random functions , 1992 .
[16] Guy Jumarie,et al. A Fokker-Planck equation of fractional order with respect to time , 1992 .
[17] Sreenivasan,et al. Scale-invariant multiplier distributions in turbulence. , 1992, Physical review letters.
[18] R. Mauldin,et al. Multifractal decompositions of Moran fractals , 1992 .
[19] Hilfer. Multiscaling and the classification of continuous phase transitions. , 1992, Physical review letters.
[20] P. Tchamitchian,et al. Pointwise analysis of Riemann's “nondifferentiable” function , 1991 .
[21] Thermodynamic scaling derived via analytic continuation from the classification of Ehrenfest , 1991 .
[22] Constantin,et al. Fractal geometry of isoscalar surfaces in turbulence: Theory and experiments. , 1991, Physical review letters.
[23] J. Bouchaud,et al. Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applications , 1990 .
[24] Ott,et al. Anomalous diffusion in "living polymers": A genuine Levy flight? , 1990, Physical review letters.
[25] A. Sudbery. Consistent multiparameter quantisation of GL(n) , 1990 .
[26] Benoit B. Mandelbrot,et al. Multifractal measures, especially for the geophysicist , 1989 .
[27] S. Krantz. Fractal geometry , 1989 .
[28] T. Vicsek. Fractal Growth Phenomena , 1989 .
[29] W. Schneider,et al. Fractional diffusion and wave equations , 1989 .
[30] C. Meneveau,et al. Simple multifractal cascade model for fully developed turbulence. , 1987, Physical review letters.
[31] Jensen,et al. Scaling structure and thermodynamics of strange sets. , 1987, Physical review. A, General physics.
[32] Bruce J. West,et al. Lévy dynamics of enhanced diffusion: Application to turbulence. , 1987, Physical review letters.
[33] Pierre Collet,et al. The dimension spectrum of some dynamical systems , 1987 .
[34] W. Wyss. The fractional diffusion equation , 1986 .
[35] R. Daniel Mauldin,et al. On the Hausdorff dimension of some graphs , 1986 .
[36] Jensen,et al. Erratum: Fractal measures and their singularities: The characterization of strange sets , 1986, Physical review. A, General physics.
[37] Michael Ghil,et al. Turbulence and predictability in geophysical fluid dynamics and climate dynamics , 1985 .
[38] Roberto Benzi,et al. On the multifractal nature of fully developed turbulence and chaotic systems , 1984 .
[39] Michael F. Shlesinger,et al. Williams-watts dielectric relaxation: A fractal time stochastic process , 1984 .
[40] James A. Yorke,et al. The Lyapunov dimension of a nowhere differentiable attracting torus , 1984, Ergodic Theory and Dynamical Systems.
[41] L. F. Abbott,et al. Dimension of a Quantum-Mechanical Path. , 1981 .
[42] M. Berry,et al. On the Weierstrass-Mandelbrot fractal function , 1980, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.
[43] B. Ross,et al. A BRIEF HISTORY AND EXPOSITION OF THE FUNDAMENTAL THEORY OF FRACTIONAL CALCULUS , 1975 .
[44] J. Cooper. SINGULAR INTEGRALS AND DIFFERENTIABILITY PROPERTIES OF FUNCTIONS , 1973 .
[45] T. Osler. Taylor’s Series Generalized for Fractional Derivatives and Applications , 1971 .
[46] J. Gerver. More on the Differentiability of the Riemann Function , 1971 .
[47] B. Mandelbrot,et al. Fractional Brownian Motions, Fractional Noises and Applications , 1968 .
[48] G. Welland. Fractional differentiation of functions with lacunary Fourier series , 1968 .
[49] E. Stein,et al. On the Fractional Differentiability of Functions , 1965 .
[50] R. Feynman,et al. Quantum Mechanics and Path Integrals , 1965 .
[51] H. D. Ursell,et al. Sets of Fractional Dimensions (V) : On Dimensional Numbers of Some continuous Curves , 1937 .
[52] G. Hardy. Weierstrass’s non-differentiable function , 1916 .
[53] J. Littlewood,et al. Some problems of diophantine approximation , 1914 .