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Fractals Books

Fractals Books

There are many downloadable free Fractals books, available in our collection of books. Which are available in the form of PDF, Online Textbooks, eBooks and lecture notes. These books cover basics, beginner, and advanced concepts and also those who looking for introduction to the same.

Fractals in Probability and Analysis

This PDF book covers the following topics related to Fractals in Probability and Analysis : Minkowski and Hausdorff dimensions, Self-similarity and packing dimension, Frostman’s theory and capacity, Self-affine sets, Graphs of continuous functions, Brownian motion, Random walks, Markov chains and capacity, Besicovitch–Kakeya sets, The Traveling Salesman Theorem.

Author(s):

s 397Pages

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):

s 134Pages

Lectures on fractal geometry and dynamics

Goal of this course note is primarily to develop the foundations of geometric measure theory, and covers in detail a variety of classical subjects. A secondary goal is to demonstrate some applications and interactions with dynamics and metric number theory.

Author(s):

s 96Pages

Fractals in the Plane the Ergodic Theory Methods

This book is an introduction to the theory of iteration of expanding and nonuniformly expanding holomorphic maps and topics in geometric measure theory of the underlying invariant fractal sets. Major topics covered: Basic examples and definitions, Measure preserving endomorphisms, Ergodic theory on compact metric spaces, Distance expanding maps, Thermodynamical formalism, Expanding repellers in manifolds and Riemann sphere, preliminaries, Cantor repellers in the line, Sullivan’s scaling function, application in Feigenbaum universality, Fractal dimensions, Sullivan’s classification of conformal expanding repellers, Conformal maps with invariant probability measures of positive, Lyapunov exponent and Conformal measures.

Author(s):

s 324Pages

Conformal Dynamics

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.

Author(s):

s NAPages

Chaos, Fractals, and Arcadia

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.

Author(s):

s NAPages

The Fractal Geometry of the Mandelbrot Set, The Periods of the Bulbs

We are working on the detailed description of this book, we will update this section soon.

Author(s):

s NAPages

The Fractal Geometry of the Mandelbrot Set, How to Count and How to Add

We are working on the detailed description of this book, we will update this section soon.

Author(s):

s NAPages