Grammar of Complexity: From Mathematics to a Sustainable World

Grammar of Complexity: From Mathematics to a Sustainable World9789813232495

Grammar of Complexity: From Mathematics to a Sustainable World

By 作者: Dimitri Volchenkov
ISBN-10 书号: 9813232498
ISBN-13 书号: 9789813232495
Release Finelybook 出版日期: 2018-03-08
Pages 页数: 300

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.

Chapter 1: Perplexity of Complexity
Chapter 2: Preliminaries: Permutations, Partitions, Probabilities and Information
Chapter 3: Theory of Extreme Events
Chapter 4: Statistical Basis of Inequality and Discounting the Future and Inequality
Chapter 5: Elements of Graph Theory. Adjacency, Walks, and Entropies
Chapter 6: Exploring Graph Structures by Random Walks
Chapter 7: We Shape Our Buildings; Thereafter They Shape Us
Chapter 8: Complexity of Musical Harmony


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