Название: Grammar of Complexity:From Mathematics to a Sustainable WorldАвтор: Dimitri Volchenkov
Издательство: World Scientific Publishing Company
Год: 2018
ISBN: 9789813232495
Серия: Mathematical Modeling
Формат: pdf
Страниц: 300
Размер: 11,4 mb
Язык: English
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.
• how local and global properties of complex systems are related to each other (i.e., geometry);
• how uncertainty in the environmental conditions and immediate transitions are related to uncertainty of the infinitely long paths (or sequences of transformations) in complex systems (i.e., predictability);
• which part of information is lost in transitions and which part is stored and have repercussions in the future evolution of the complex system (i.e., selectivity).