Lecture Notes on Fractal Geometry

Random Fractals by Peter Morters

The term fractal usually refers to sets which, in some sense, have a self-similar structure. This PDF book covers the following topics related to Random Fractals : Representing fractals by trees, Fine properties of stochastic processes, More on the planar Brownian path, etc.

Author(s): Peter Morters, University of Bath

29 Pages

A tale of two fractals

This book is devoted to a phenomenon of fractal sets, or simply fractals. Topics covered includes: Sierpinski gasket, Harmonic functions on Sierpinski gasket, Applications of generalized numerical systems, Apollonian Gasket, Arithmetic properties of Apollonian gaskets, Geometric and group-theoretic approach.

Author(s): A. A. Kirillov

134 Pages

Lectures On Fractals And Dimension Theory

This note covers the following topics: Basic Properties and Examples, Iterated Function Schemes, Computing dimension, Some Number Theory and algorithms, Measures and Dimension, Classic results: Projections, Slices and translations, Tranversality and Iterated function schemes with overlaps.

Author(s): Mark Pollicott

106 Pages

Lecture Notes on Fractal Geometry

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Author(s): NA

NA Pages