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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.
List of contents
A Bibliographic View on Recurrence Plots and Recurrence Quantification Analyses.- Mathematics of Recurrence Plots.- Number of Logical Operators Connecting Columns in a Recurrence Plot.- Advances on Recurrence Microstates Analyses.- Polar Recurrence Plots with Quantifications.- Recurrence-Based Characterization of Stickiness in Hamiltonian Systems.- Cross-Recurrence Plots and Straightforward Hilbert Representation of Isolation Kernel.- Spatial Reconstruction from Contact Networks: A Unified Approach for Dynamics and Genomics.- Mini-Channel Heat Transfer Stability Assessment Using the Microstates Entropy Recurrence Plot Diagonal Lines.- Investigation of Combustion Stability in an RCCI Engine Using Recurrence Analysis of Cylinder Pressure Data.- Unveiling Synchronized Rhythm: Quantitative Analysis of Lower Limb Coordination in Movements of Taekwondo Players.- Multi-Timescale Recurrent Structures in Rhyming Focused on the Vowels of Rap Lyrics.- Application of Recurrence Analysis to Patient Therapist Coordination During Gait Rehabilitation.- Association Between Healthy Aging and the Dynamical Behavior of Heart Rate Variability Revealed by Recurrence Quantification Analysis.
