Higher-Order Systems

The book discusses the potential of higher-order interactions to model real-world relational systems, using hypergraphs and simplicial complexes to describe complex patterns of interactions among agents. It is intended as a first introduction and overview of the state of the art of this rapidly emerging field.

Format: Hardback
Length: 433 pages
Publication date: 28 April 2022
Publisher: Springer Nature Switzerland AG

The book delves into the immense potential of higher-order interactions to model real-world relational systems. Over the past decade, networks have emerged as the dominant framework for modeling complex systems due to their ability to capture intricate connections and interactions among entities. However, despite their versatility, networks are inherently limited to pairwise interactions, restricting our ability to comprehend, predict, and explain complex phenomena that arise from higher-order interactions. In response to this limitation, this book presents a groundbreaking modeling framework for higher-order systems. By utilizing hypergraphs and simplicial complexes, the book describes complex patterns of interactions among any number of agents, enabling a more comprehensive understanding of the interconnected world we inhabit.

This book serves as a comprehensive introduction to the field, providing a solid foundation for both novice and experienced network scientists seeking to enhance their understanding of complex systems. It also serves as a valuable reference for researchers and practitioners interested in exploring the latest advancements in this rapidly evolving area.

The significance of this work lies in its ability to bridge the gap between traditional network analysis and more advanced mathematical approaches, enabling a holistic understanding of the dynamics and behavior of complex systems. By leveraging the power of higher-order interactions, the book opens up new avenues for research and innovation in fields such as social networks, biological systems, and artificial intelligence, where understanding the intricacies of interconnections is critical.

In conclusion, this book is a groundbreaking contribution to the field of network science and provides a valuable resource for researchers, practitioners, and anyone interested in better modeling the complex world we live in. Its innovative approach to higher-order interactions offers a promising path toward a deeper understanding of the dynamics and behavior of complex systems, paving the way for new discoveries and advancements in a wide range of disciplines.

Weight: 828g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030913731
Edition number: 1st ed. 2022