Fourier analysis and paths of brownian motion
Fourier Asymptotics of Statistically Self-Similar Measures.
Fourier-Feynman transforms of unbounded functionals on abstract Wiener space
Huffman, Park and Skoug established several results involving Fourier-Feynman transform and convolution for functionals in a Banach algebra S on the classical Wiener space. Chang, Kim and Yoo extended these results to abstract Wiener space for a more generalized Fresnel class A1,A2 than the Fresnel class (B)which corresponds to the Banach algebra S. In this paper we study Fourier-Feynman transform, convolution and first variation of unbounded functionals on abstract Wiener space having the form...
Fractal analysis of Hopf bifurcation for a class of completely integrable nonlinear Schrödinger Cauchy problems.
Fractal Differential Equations on the Sierpinski Gasket.
Fractal dimension of sets induced by bases of imaginary quadratic fields
Fractal geometry as design aid.
Fractal multiwavelets related to the Cantor dyadic group.
Fractal negations.
From the concept of attractor of a family of contractive affine transformations in the Euclidean plane R2, we study the fractality property of the De Rham function and other singular functions wich derive from it. In particular, we show as fractals the strong negations called k-negations.
Fractal Penrose tiles II: Tiles with fractal boundary as duals of Penrose triangles.
Fractal Penrose tilings I. Construction and matching rules.
Fractal Relaxed Dirichlet Problems.
Fractal star bodies
In 1989 R. Arnold proved that for every pair (A,B) of compact convex subsets of ℝ there is an Euclidean isometry optimal with respect to L₂ metric and if f₀ is such an isometry, then the Steiner points of f₀(A) and B coincide. In the present paper we solve related problems for metrics topologically equivalent to the Hausdorff metric, in particular for metrics for all p ≥ 2 and the symmetric difference metric.
Fractal time series -- A tutorial review.
Fractal trigonometric approximation.
Fractal Wavelet Dimensions and Time Evolution
Fractal-classic interpolants
The methodology of fractal interpolation is very useful for processing experimental signals in order to extract their characteristics of complexity. We go further and prove that the Iterated Function System involved may also be used to obtain new approximants that are close to classical ones. In this work a classical function and a fractal function are combined to construct a new interpolant. The fractal function is first defined as a perturbation of a classical mapping. The additional condition...
Fractales de Riemann: números y figuras.
Fractals and hidden symmetries in DNA.
Fractals and Multi Layer Coloring Algorithms