3 Credits (3-0-0)
Code spaces, Hausdorff metric, Hausdorff measures, fractal dimensions, Hausdorff dimension, Box-counting dimensions, groups and rings of fractal dimension, semigroups of iterated function schemes(IFS) and self-similarity, Cantor sets, Cantor dusts, Koch Snowflake, Sierpinski’s triangle, Diophantine approximation, chaos games, attractors, fractals, superfractals and multi fractal measures, Mandelbrot and Julia sets, random fractals, fractals in Brownian motion.