Výsledky vyhledávání - "Hutchinson, John E."

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Spectral Asymptotics for $V$-variable Sierpinski Gaskets

Autor: Freiberg, U., Hambly, B. M., Hutchinson, John E.

The family of $V$-variable fractals provides a means of interpolating between two families of random fractals previously considered in the literature; scale irregular fractals ($V=1$) and random recursive fractals ($V=\infty$). We consider a class of

Externí odkaz: http://arxiv.org/abs/1502.00711

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V-Variable Fractals: Fractals with Partial Self Similarity

Autor: Barnsley, Michael, Hutchinson, John E., Stenflo, Örjan

We establish properties of a new type of fractal which has partial self similarity at all scales. For any collection of iterated functions systems with an associated probability distribution and any positive integer V there is a corresponding class o

Externí odkaz: http://arxiv.org/abs/0802.0064

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V-variable fractals and superfractals

Autor: Barnsley, Michael, Hutchinson, John E., Stenflo, Örjan

Deterministic and random fractals, within the framework of Iterated Function Systems, have been used to model and study a wide range of phenomena across many areas of science and technology. However, for many applications deterministic fractals are l

Externí odkaz: http://arxiv.org/abs/math/0312314

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A Fractal Valued Random Iteration Algorithm and Fractal Hierarchy

Autor: Barnsley, Michael, Hutchinson, John E., Stenflo, Örjan

Publikováno v: Fractals, 13, No. 2, 111-146 (2005)

We describe new families of random fractals, referred to as "V-variable", which are intermediate between the notions of deterministic and of standard random fractals. The parameter V describes the degree of "variability" : at each magnification level

Externí odkaz: http://arxiv.org/abs/math/0312187

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