Results 231 to 240 of about 16,110 (265)

Fractal Aggregates in Space

2002
Individual cosmic dust particles come in very complex shapes but there are a variety of environments where dust particles are aggregates of smaller grains. These aggregates often can be characterized by a fractal particle structure. Within this fractal framework, morphologically averaged particle properties depend only on a few parameters.
Gerhard Wurm, Martin Schnaiter
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On local fractal functions in banach spaces

AIP Conference Proceedings, 2015
We give a short introduction to local fractal functions defined on several classes of Banach spaces. The emphasis is on the Banach space of bounded functions B, the Lebesgue spaces Lp, 1 ≤ p ≤ ∞, and the Sobolev spaces Wn,p, n ∈ N0and 1 ≤ p ≤ ∞.
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Homogeneous Fractal Spaces

1996
Diffusion processes on special classes of fractal sets, and related self-adjoint generators, have been studied in recent years by several authors, both by probabilistic and analytic methods. In particular, for the so-called Sierpinski gasket the construction of the “Brownian motion” and “Laplace” operator has been done by [Kul], [BP], [Ki], [FS].
Umberto Mosco, Lino Notarantonio
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An Algorithm for Random Fractal Filling of Space

Computer Graphics Forum, 2013
AbstractComputational experiments with a simple algorithm show that it is possible to fill any spatial region with a random fractalization of any shape, with a continuous range of pre‐specified fractal dimensions D. The algorithm is presented here in 1, 2 or 3 physical dimensions.
John Shier, Paul Bourke
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ANALYSIS ON FRACTALS IN FUZZY METRIC SPACES

Fractals, 2011
In this paper, we investigate the fractals generated by the iterated function system of fuzzy contractions in the fuzzy metric spaces by generalizing the Hutchinson-Barnsley theory. We prove some existence and uniqueness theorems of fractals in the standard fuzzy metric spaces by using the fuzzy Banach contraction theorem.
Easwaramoorthy, D., Uthayakumar, R.
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On the Gompertzian growth in the fractal space–time

Biosystems, 2008
An analytical approach to determination of time-dependent temporal fractal dimension b(t)(t) and scaling factor a(t)(t) for the Gompertzian growth in the fractal space-time is presented. The derived formulae take into account the proper boundary conditions and permit a calculation of the mean values b(t)(t) and a(t)(t) at any period of time.
Marcin Molski, Jerzy Konarski
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On spaces of fractal functions

Approximation Theory and its Applications, 1996
Summary: We introduce linear spaces consisting of continuous functions whose graphs are the attractors of a special class of iterated function systems. We show that such spaces are finite dimensional and give the bases of these spaces in an implicit way.
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Function spaces on and of fractals

1997
It is the main aim of this Chapter to discuss the seminal interrelation between fractals and function spaces. This paves the way to a substantial spectral theory of fractal (pseudo)differential operators which will be developed in Chapter V. We begin in Section 17 with a rather final Fourier analytical characterization of the Hausdorff dimension of ...
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Fractals In Three-Dimensional Space. I-Fractals

Geometry & Graphics, 2017
It has long been known that there are fractals, which construction resolve into cutting out of elements from lines, curves or geometric shapes according to a certain law. If the fractal is completely self-similar, its dimensionality is reduced relative to the original object and usually becomes fractional.
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Some Applications of Besov Spaces on Fractals

Acta Mathematica Sinica, English Series, 2004
Let \(\Gamma\) be a compact \(d\)-set in \(\mathbb R^n ...
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