Mark Holland

Allan Combs

Science, Myth, and the Trickster

Synchronicity

Valerio Lucarini

Ana Cristina Gomes Monteiro Moreira de Freitas

Davide Faranda

Tobias Kuna

Matthew Nicol

Mike Todd

Sandro Vaienti

Jorge Miguel Milhazes de Freitas

Written by a team of international experts, Extremes and Recurrence in Dynamical Systems presents a unique point of view on the mathematical theory of extremes and on its applications in the natural and social sciences. Featuring an interdisciplinary approach to new concepts in pure and applied mathematical research, the book skillfully combines the areas of statistical mechanics, probability theory, measure theory, dynamical systems, statistical inference, geophysics, and software application. Emphasizing the statistical mechanical point of view, the book introduces robust theoretical embedding for the application of extreme value theory in dynamical systems. Extremes and Recurrence in Dynamical Systems also features: • A careful examination of how a dynamical system can serve as a generator of stochastic processes • Discussions on the applications of statistical inference in the theoretical and heuristic use of extremes • Several examples of analysis of extremes in a physical and geophysical context • A final summary of the main results presented along with a guide to future research projects • An appendix with software in Matlab® programming language to help readers to develop further understanding of the presented concepts Extremes and Recurrence in Dynamical Systems is ideal for academics and practitioners in pure and applied mathematics, probability theory, statistics, chaos, theoretical and applied dynamical systems, statistical mechanics, geophysical fluid dynamics, geosciences and complexity science. VALERIO LUCARINI, PhD, is Professor of Theoretical Meteorology at the University of Hamburg, Germany and Professor of Statistical Mechanics at the University of Reading, UK. DAVIDE FARANDA, PhD, is Researcher at the Laboratoire des science du climat et de l’environnement, IPSL, CEA Saclay, Université Paris-Saclay, Gif-sur-Yvette, France. ANA CRISTINA GOMES MONTEIRO MOREIRA DE FREITAS, PhD, is Assistant Professor in the Faculty of Economics at the University of Porto, Portugal. JORGE MIGUEL MILHAZES DE FREITAS, PhD, is Assistant Professor in the Department of Mathematics of the Faculty of Sciences at the University of Porto, Portugal. MARK HOLLAND, PhD, is Senior Lecturer in Applied Mathematics in the College of Engineering, Mathematics and Physical Sciences at the University of Exeter, UK. TOBIAS KUNA, PhD, is Associate Professor in the Department of Mathematics and Statistics at the University of Reading, UK. MATTHEW NICOL, PhD, is Professor of Mathematics at the University of Houston, USA. MIKE TODD, PhD, is Lecturer in the School of Mathematics and Statistics at the University of St. Andrews, Scotland. SANDRO VAIENTI, PhD, is Professor of Mathematics at the University of Toulon and Researcher at the Centre de Physique Théorique, France.

Extremes and Recurrence in Dynamical Systems

Carl Jung coined the term "synchronicity" to describe meaningful coincidences that conventional notions of time and causality cannot explain. Working with the great quantum physicist Wolfgang Pauli, Jung sought to reveal these coincidences as phenomena that involve mind and matter, science and spirit, thus providing rational explanations for parapsychological events like telepathy, precognition, and intuition. Synchronicity examines the work of Jung and Pauli, as well as noted scientists Werner Heisenberg and David Bohm; identifies the phenomena in ancient and modern mythologies, particularly the Greek legend of Hermes the Trickster; and illustrates it with engaging anecdotes from everyday life and literature.

Through the Eyes of Science, Myth, and the Trickster

Examines the work of Jung and Pauli on the phenomena of 'meaningful coincidences'.

Science, Myth and the Trickster

Jorge Milhazes Freitas

Mark Holland

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