Results 211 to 220 of about 13,496 (258)

Theory of Fractal Growth

Physical Review Letters, 1988
In the past few years a great deal of activity has been devoted to the study of fractal structures [3] in relation to physical phenomena [4,5]. The prototype fractal growth model is based on a combination of the Laplace equation and a stochastic field. The first model of this class to be formulated was Diffusion Limited Aggregation (DLA) [6].
PIETRONERO, Luciano   +2 more
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To the Origins of Fractal Theory

Voprosy Filosofii, 2022
The article attempts to give internal contours of historical genesis of the general theory of fractality. Through the analysis of current scientific positions the neces­sity of theoretical comprehension of fractal as a philosophical category is shown and the absence of its unified theory is stated.
Victor N. Knyazev, Maxim Yu. Morozov
openaire   +1 more source

Theory of Fractal Growth

Physica Scripta, 1989
Abstract The problem we consider is to understand why nature gives rise to fractal structures. The first step is to formulate models of fractal growth based on physical mechanisms like the Diffusion Limited Aggregation and the more general Dielectric Breakdown Model.
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Fractals and domain theory

Mathematical Structures in Computer Science, 2004
We show that a measurement $\mu$ on a continuous dcpo $D$ extends to a measurement $\skew3\bar{\mu}$ on the convex powerdomain ${\mathbf C} D$ iff it is a Lebesgue measurement. In particular, $\ker\mu$ must be metrisable in its relative Scott topology.
openaire   +2 more sources

Fractal summarization

Proceedings of the 26th annual international ACM SIGIR conference on Research and development in informaion retrieval, 2003
In this paper, we introduce the fractal summarization model based on the fractal theory. In fractal summarization, the important information is captured from the source text by exploring the hierarchical structure and salient features of the document.
Christopher C. Yang, Fu Lee Wang
openaire   +2 more sources

Preliminary Evidence for a Theory of the Fractal City

Environment and Planning A: Economy and Space, 1996
In this paper, we argue that the geometry of urban residential development is fractal. Both the degree to which space is filled and the rate at which it is filled follow scaling laws which imply invariance of function, and self-similarity of urban form across scale.
M Batty, Y Xie
openaire   +3 more sources

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