Recurrence Plots and Their Quantifications: Methodological Breakthroughs and Interdisciplinary Discoveries

This book collects selected contributions from the 10th Recurrence Plot Symposium, held at the University of Tsukuba, Japan (August 28-30, 2023). It reflects on the achievements of the previous nine symposia while exploring future prospects of recurrence plots and their quantifications in combination with other key research strategies. The book provides a comprehensive bibliographic overview of the methodology, offering a solid foundation for both new and experienced researchers. It discusses the mathematical foundations of recurrence plots and recurrence microstates and links them to future directions, such as machine learning, highlighting the potential for innovative applications. The text also presents an alternative approach to representing recurrences, offering fresh perspectives on this well-established technique. Additionally, it explores the two-dimensional projections of three-dimensional chromosomal structures as dot maps, opening the door to unique chromosomal descriptions in terms of recurrence quantifiers. Numerous other contributed chapters highlight the active development of this method and its clever applications to real-world systems. The book is intended for researchers working in various fields such as physics, statistics, and mathematics, with its interdisciplinary applications also benefiting experts from psychology, physiology, geosciences, finance, and engineering.