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 serves as a reference for network scientists interested in better modeling the interconnected world.

Format: Paperback / softback
Length: 433 pages
Publication date: 28 April 2023
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 researchers. It serves as a valuable reference for network scientists who are eager to enhance their understanding of the complex web of relationships that shape our lives.

The book explores the following key aspects:

Introduction to Higher-Order Systems: Provides a foundational understanding of higher-order systems, their theoretical foundations, and their applications in various fields.

Hypergraphs and Simplicial Complexes: Discusses the use of hypergraphs and simplicial complexes as tools for modeling higher-order interactions. Hypergraphs are a generalization of graphs that allow for the representation of multiple edges between entities, while simplicial complexes are a mathematical framework for representing and analyzing complex structures.

Applications of Higher-Order Systems: Highlights the diverse range of applications where higher-order systems have been successfully employed, including social networks, biological systems, and complex systems such as transportation networks and power grids.

Future Directions: Discusses the emerging research trends and challenges in the field of higher-order systems, including the development of new algorithms, the integration of machine learning techniques, and the exploration of applications in emerging domains such as artificial intelligence and big data.

By leveraging the power of higher-order interactions, this book offers a transformative perspective on modeling complex systems, enabling researchers and practitioners to gain a deeper understanding of the intricate relationships that underpin our world. Whether you are a student, researcher, or professional seeking to advance your knowledge in this rapidly evolving field, this book is an essential resource for you.

Weight: 676g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030913762
Edition number: 1st ed. 2022