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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
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
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): Robert L. Devaney
NA Pages
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): NA
NA Pages
