Nonlinear and stochastic climate dynamics / edited by Christian L.E. Franzke, University of Hamburg, Germany, and Terence J. O'Kane, Marine and Atmospheric Research, CSIRO, Australia.

Print version record.

Includes bibliographical references and index.

It is now widely recognized that the climate system is governed by nonlinear, multi-scale processes, whereby memory effects and stochastic forcing by fast processes, such as weather and convective systems, can induce regime behavior. Motivated by present difficulties in understanding the climate system and to aid the improvement of numerical weather and climate models, this book gathers contributions from mathematics, physics and climate science to highlight the latest developments and current research questions in nonlinear and stochastic climate dynamics. Leading researchers discuss some of the most challenging and exciting areas of research in the mathematical geosciences, such as the theory of tipping points and of extreme events including spatial extremes, climate networks, data assimilation and dynamical systems. This book provides graduate students and researchers with a broad overview of the physical climate system and introduces powerful data analysis and modeling methods for climate scientists and applied mathematicians.

Machine generated contents note: 1. Challenges for Ice Age Dynamics: A Dynamical Systems Perspective / Takahito Mitsui -- 2. Tipping Points in the Climate System / Peter Ditlevsen -- 3. Atmospheric Teleconnection Patterns / Christian L.E. Franzke -- 4. Atmospheric Regimes: The Link between Weather and the Large-Scale Circulation / Susanna Corti -- 5. Low-Frequency Regime Transitions and Predictability of Regimes in a Barotropic Model / Terence J. O'Kane -- 6. Complex Network Techniques for Climatological Data Analysis / Jonathan F. Donges -- 7. On Inference and Validation of Causality Relations in Climate Teleconnections / Didier P. Monselesan -- 8. Stochastic Climate Theory / Christian L.E. Franzke -- 9. Stochastic Subgrid Modelling for Geophysical and Three-Dimensional Turbulence / Meelis J. Zidikheri -- 10. Model Error in Data Assimilation / John Harlim -- 11. Long-Term Memory in Climate: Detection, Extreme Events, and Significance of Trends / Josef Ludescher -- 12. Fractional Stochastic Models for Heavy Tailed, and Long-Range Dependent, Fluctuations in Physical Systems / Nicholas W. Watkins -- 13. Modelling Spatial Extremes Using Max-Stable Processes / Mathieu Ribatet -- 14. Extreme Value Analysis in Dynamical Systems: Two Case Studies / Tamas Bodai.

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