Laplacian Fractals are physical models for the fractal properties encountered in a selected group of natural phenomena. The basis models in this class are the Dialectric Breakdown Model and the closely related Diffusion- Limited Aggregration model and Laplacian Random Walks. A full mathematical solution is still lacking and, presents a considerable challenge. In this dissertation I will present both numerical and non-numerical results on these models and therewith hope to the contribute to a better understanding of their various properties. ... Zie: Prefac
A fractal is a mathematical object, that can be split into several parts, each of which is a minuscu...
This article examines fractals with reference to random models of natural surfaces, highlighting the...
Interest in the numerical solution of the Laplace equation on regions with fractal boundaries arises...
Laplacian Fractals are physical models for the fractal properties encountered in a selected group of...
This thesis comprises analytic and numerical studies of static, geometrical properties of fractals a...
One of the most important topics in the analysis of fractals is to construct the Laplacian. But this...
Spectral properties of the weighted Laplace operator in the presence of fractal boundaries are numer...
This paper will involve an investigation into Fractals, particularly the Koch Snowflake. The history...
Owing to the rapid emergence and growth of techniques in the engineering application of fractals, it...
Includes bibliographical references.The first section, entitled “Introduction and Applications,” is ...
Fractals fascinates both academics and art lovers. They are a form of chaos. A key feature that dist...
The Scottish biologist D’Arcy once said “God always geometrizes.” The idea behind this statement is ...
This text is intended for the general public. The aim of this work is acquaint readers with foundati...
The shapes and general morphological properties of aggregates grown following the 'T/ rule (Vsurfac...
Fractal structures or geometries have nowadays a key role in all those > models for natural a...
A fractal is a mathematical object, that can be split into several parts, each of which is a minuscu...
This article examines fractals with reference to random models of natural surfaces, highlighting the...
Interest in the numerical solution of the Laplace equation on regions with fractal boundaries arises...
Laplacian Fractals are physical models for the fractal properties encountered in a selected group of...
This thesis comprises analytic and numerical studies of static, geometrical properties of fractals a...
One of the most important topics in the analysis of fractals is to construct the Laplacian. But this...
Spectral properties of the weighted Laplace operator in the presence of fractal boundaries are numer...
This paper will involve an investigation into Fractals, particularly the Koch Snowflake. The history...
Owing to the rapid emergence and growth of techniques in the engineering application of fractals, it...
Includes bibliographical references.The first section, entitled “Introduction and Applications,” is ...
Fractals fascinates both academics and art lovers. They are a form of chaos. A key feature that dist...
The Scottish biologist D’Arcy once said “God always geometrizes.” The idea behind this statement is ...
This text is intended for the general public. The aim of this work is acquaint readers with foundati...
The shapes and general morphological properties of aggregates grown following the 'T/ rule (Vsurfac...
Fractal structures or geometries have nowadays a key role in all those > models for natural a...
A fractal is a mathematical object, that can be split into several parts, each of which is a minuscu...
This article examines fractals with reference to random models of natural surfaces, highlighting the...
Interest in the numerical solution of the Laplace equation on regions with fractal boundaries arises...