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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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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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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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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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Journal of Organisational Transformation & Social Change, 2014
AbstractTop-down hierarchies are typically characterised by command-and-control systems of authority that often create harmful stress and internal competition for advancement within organisations. The pervading perception is of ‘limited room at the top’, where positions of authority become scarce resources.
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AbstractTop-down hierarchies are typically characterised by command-and-control systems of authority that often create harmful stress and internal competition for advancement within organisations. The pervading perception is of ‘limited room at the top’, where positions of authority become scarce resources.
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Fractal theory of Saturn’s ring
Proceedings of the Steklov Institute of Mathematics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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KNOT THEORY, PARTITION FUNCTION AND FRACTALS
Journal of Knot Theory and Its Ramifications, 1996In this paper we first provide the open chain and the closed chain method to calculate the partition functions of the typical fractal lattices, i.e. a special kind of Sierpinski carpets(SC) and the triangular Sierpinski gaskets(SG). We then apply knot theory to fractal lattices by changing lattice graphs into link diagrams according to the interaction
Ge, Mo-Lin, Hu, Liangzhong, Wang, Yiwen
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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.
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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.
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This deposit contains the manuscript Fractal Category Theory: Scale as a Frobenius (Co)Monad and Ind–Pro Bicompletion with Stable Equivariant Kan Extensions. The work models “scale” via a single endofunctor T:C→CT:\mathcal{C}\to\mathcal{C}T:C→C carrying compatible monad and comonad structures (Frobenius compatibility).
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Fractal in Modern Science, Fractalization Theory
2023Shahriar Ghammamy +6 more
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