Volchenkov D. Grammar Of Complexity: From Mathematics To A Sustainable World

World Scientific, 2018. — 248 p.The book is an introduction, for both graduate students and newcomers to the field of the modern theory of mesoscopic complex systems, time series, hypergraphs and graphs, scaled random walks, and modern information theory. As these are applied for the exploration and characterization of complex systems. Our self-consistent review provides the necessary basis for consistency. We discuss a number of applications such diverse as urban structures and musical compositions.Perplexity of Complexity
Preliminaries: Permutations, Partitions, Probabilities and Information
Theory of Extreme Events
Statistical Basis of Inequality and Discounting the Future and Inequality
Elements of Graph Theory. Adjacency, Walks, and Entropies
Exploring Graph Structures by Random Walks
We Shape Our Buildings: Thereafter They Shape Us
Complexity of Musical Harmony