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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 
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): Christopher J. Bishop Stony Brook University, Yuval Peres Microsoft Research
397 Pages
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): Feliks Przytycki Mariusz Urbanski
324 Pages
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): Curtis T McMullen
NA Pages
Lecture Notes on Fractal Geometry
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA PagesAdvertisement
