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.

Yoshito Hirata received a B.E. in mathematical engineering from the University of Tokyo and a Ph.D. in applied mathematics from the University of Western Australia. He is currently an Associate Professor at the Institute of Systems and Information Engineering, University of Tsukuba

Masanori Shiro received a Ph.D. in information science and technology from the University of Tokyo. He is currently a senior researcher at the National Institute of Advanced Industrial Science and Technology in Tsukuba.

Miwa Fukino received a Ph.D degree in Mathematical Informatics from the University of Tokyo. She is a chief engineer at the Digital & AI Technology Center, Panasonic Holdings Corporation. She will be a professor at the Department of Data Science, Faculty of Science and Engineering, Teikyo University from April 2025.

Charles L. Jr. Webber, received an A.B. degree in chemistry from Taylor University (1965–1969) with studies in mathematics from Illinois Institute of Technology (1970–1971). He earned a Ph.D. degree in medical physiology from Loyola University Chicago (1969–1973) followed by post-doctoral studies at the Max Planck Institute for Physiological and Clinical Research (1973–1975). He was invited to serve on the physiology faculty of Loyola for the remainder of his career, rising to the rank of full professor (1975-2013). Dr. Webber and Dr. Joseph Zbilut were the originators of Recurrence Quantification Analysis (1992–1994).

Kazuyuki Aihara received a B.E. degree in electrical engineering and a Ph.D. degree in electronic engineering from the University of Tokyo (UTokyo), Japan, in 1977 and 1982, respectively. Currently, he is a University Professor and Professor Emeritus at UTokyo, and Executive Director of the International Research Center for Neurointelligence (IRCN) at UTokyo. He also serves as the project manager for a Moonshot project of JST and the Cabinet Office of Japan on the comprehensive mathematical understanding of the complex control system between organs and challenge for ultra-early precision medicine.

Norbert Marwan received a diploma in theoretical physics from the Dresden University of Technology, Germany, in 2000, and a Ph.D. degree in theoretical physics from the University of Potsdam, Germany, in 2003. Currently, he serves as a deputy chair of the Complexity Science research department at the Potsdam Institute for Climate Impact Research (PIK), Potsdam and is a Professor at the Institute of Geosciences at the University of Potsdam. He is the main organiser of the biennial International Symposium on Recurrence Plots.