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(R) 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.
