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.
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.
This note covers the following topics: Rigidity and inflexibility in conformal dynamics, Hausdorff
dimension and conformal dynamics: Strong convergence of Kleinian groups,
Geometrically finite rational maps and Computation of dimension.
This note covers the following topics: Thomasina's Geometry of
Irregular Forms, The Chaos Game, The Sierpinski Hexagon, Thomasina's Fern
and Valentine's Grouse.