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Starting with numerical algorithms resulting in new kinds of amazing fractal patterns on the sphere, this book describes the theory underlying these phenomena and indicates possible future applications. The book also explores the following questions: -->: What are fractals?; How do fractal patterns emerge from quantum observations and relativistic light aberration effects?; What are the open problems with iterated function systems based on Mobius transformations?; Can quantum fractals be experimentally detected?; What are quantum jumps?; Is quantum theory complete and/or universal?; Is the sta

Fractals. --- Mathematical physics. --- Quantum theory. --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Mechanics --- Thermodynamics --- Physical mathematics --- Fractal geometry --- Fractal sets --- Geometry, Fractal --- Sets, Fractal --- Sets of fractional dimension --- Dimension theory (Topology) --- Mathematics --- Fractals --- Mathematical physics --- Quantum theory

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Statistical physics --- Fractales --- Fractals --- Science --- Sciences --- Mathematics --- Mathématiques --- 517.987 --- -#TELE:SISTA --- Natural science --- Science of science --- Fractal geometry --- Fractal sets --- Geometry, Fractal --- Sets, Fractal --- Sets of fractional dimension --- Dimension theory (Topology) --- Measures. Representations of Boolean algebras. Metric theory of dynamic systems --- Fractals. --- Mathematics. --- 517.987 Measures. Representations of Boolean algebras. Metric theory of dynamic systems --- Mathématiques --- #TELE:SISTA --- Science - Mathematics

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The patterns of frost on a cold window, eroded landscapes, and particles grown in an aerosol all have forms that are conventionally regarded as irregular, with little or no symmetry. In Fractals in Chemistry, the reader is introduced to the fractal dimension, a concept that allows for a unified description of such diverse and irregular objects, and implies that they all possess heretofore unperceived symmetries. The text explains how the growth of such objects is controlled by similar, simple processes, and how modest experiments bring to life the principles involved. Topics include fractal forms, fractal growth, characterizing fractals, and chemistry in fractal environments. Throughout, the text emphasizes the relevance of fractal concepts to the structure and chemistry of porous solids and to the growth of polymers and colloids in liquid and gaseous phases. Concise and easy-to-read, this book is ideal for students and researchers in chemistry, physics, and materials science.

Fractals --- Chemistry, Physical and theoretical --- Mathematics --- Fractals. --- Mathematics. --- 544.2 --- 54 --- chemie (scheikunde) --- fractalen --- fysische chemie --- Fractal geometry --- Fractal sets --- Geometry, Fractal --- Sets, Fractal --- Sets of fractional dimension --- Dimension theory (Topology) --- chemie. scheikunde --- Chemistry, Physical and theoretical - Mathematics --- CHEMISTRY, PHYSICAL AND THEORETICAL --- FRACTALS --- MATHEMATICS

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Stochastic processes --- Geometry --- Mathematical models --- Fractals --- Géométrie --- Modèles mathématiques --- Processus stochastiques --- Fractales --- 517.987 --- Random processes --- Probabilities --- Models, Mathematical --- Simulation methods --- Mathematics --- Euclid's Elements --- Fractal geometry --- Fractal sets --- Geometry, Fractal --- Sets, Fractal --- Sets of fractional dimension --- Dimension theory (Topology) --- Measures. Representations of Boolean algebras. Metric theory of dynamic systems --- Fractals. --- Geometry. --- Mathematical models. --- Stochastic processes. --- 517.987 Measures. Representations of Boolean algebras. Metric theory of dynamic systems --- Géométrie --- Modèles mathématiques

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Fractals --- Mathematical physics --- Fractales --- Physique mathématique --- Fractal geometry --- Fractal sets --- Geometry, Fractal --- Sets, Fractal --- Sets of fractional dimension --- Dimension theory (Topology) --- Fractals. --- Basic Sciences. Mathematics --- Geometry, Topology --- Geometry, Topology. --- Physique mathématique --- 514-78 --- 514.13 --- Geometry--?-78 --- Non-Euclidean metric geometries. Lobachevsky geometry. Other hyperbolic geometries. Elliptic geometries --- 514.13 Non-Euclidean metric geometries. Lobachevsky geometry. Other hyperbolic geometries. Elliptic geometries --- 514-78 Geometry--?-78 --- 514 --- 51-74 --- 514 Geometry --- Geometry --- 51-74 Mathematics--?-74 --- Mathematics--?-74 --- Statistical physics --- Fractales.