# Geometric Progressions, Linear Transformations, and Markov Chains ### Ideas to touch on * Ratio of ratios, quadratics, the ratio of ratio of ratios, cubics, and so on. See page 251, 258, Chapter 11 * ### Note * May want to break this out into three posts * First * Geometric progressions, newtons method of differences, ratio of ratios, how that relates to cubics, quadratic, etc * based heavily on chapter 11 * Second * Eigenvalues, limiting distributions/transformations, multiple geometric progressions, random walk. How are these things composed of geometric progressions? * based on chapter 12 * Third * What is geometry? * Heavily reference "Shape", also touch on notes from Matt and Bryce, metrics, structure, "Lecture notes on embeddings", etc --- Date: 20211006 - Links to: [blog](blog.md) Tags: References: * []()