“This research monograph presents recent mathematical results in the field of turbulent dynamical systems. … Numerous references are cited. The book is certainly of some interest for graduate students and researchers in the field of mathematical modeling of geophysical flows.” (Kai Schneider, zbMATH 1377.37003, 2018)“This is a beautifully written research expository book on turbulent dynamical systems that arise in complex systems. … it contains a wealth of new information including many penetrating insights that are not available elsewhere systematically. … It belongs on the bookshelf of everybody who is seriously interested in turbulent dynamical systems in high-dimensional phase space and many related applied issues.” (Xiaoming Wang, Mathematical Reviews, July, 2017)

• Introduction.- Prototype Examples of Complex Turbulent Dynamical Systems.- The Mathematical Theory of Turbulent Dynamical Systems.- Statistical Prediction and UQ for Turbulent Dynamical Systems.- State Estimation, Data Assimilation, or Filtering for Complex Turbulent Dynamical Systems.- Finite Ensemble Kalman Filders (EnKF): Applied Practice, Mathematical Theory, and New Phenomena.

“This research monograph presents recent mathematical results in the field of turbulent dynamical systems. … Numerous references are cited. The book is certainly of some interest for graduate students and researchers in the field of mathematical modeling of geophysical flows.” (Kai Schneider, zbMATH 1377.37003, 2018)“This is a beautifully written research expository book on turbulent dynamical systems that arise in complex systems. … it contains a wealth of new information including many penetrating insights that are not available elsewhere systematically. … It belongs on the bookshelf of everybody who is seriously interested in turbulent dynamical systems in high-dimensional phase space and many related applied issues.” (Xiaoming Wang, Mathematical Reviews, July, 2017)

• Introduction.- Prototype Examples of Complex Turbulent Dynamical Systems.- The Mathematical Theory of Turbulent Dynamical Systems.- Statistical Prediction and UQ for Turbulent Dynamical Systems.- State Estimation, Data Assimilation, or Filtering for Complex Turbulent Dynamical Systems.- Finite Ensemble Kalman Filders (EnKF): Applied Practice, Mathematical Theory, and New Phenomena.

“This research monograph presents recent mathematical results in the field of turbulent dynamical systems. … Numerous references are cited. The book is certainly of some interest for graduate students and researchers in the field of mathematical modeling of geophysical flows.” (Kai Schneider, zbMATH 1377.37003, 2018)“This is a beautifully written research expository book on turbulent dynamical systems that arise in complex systems. … it contains a wealth of new information including many penetrating insights that are not available elsewhere systematically. … It belongs on the bookshelf of everybody who is seriously interested in turbulent dynamical systems in high-dimensional phase space and many related applied issues.” (Xiaoming Wang, Mathematical Reviews, July, 2017)

• Introduction.- Prototype Examples of Complex Turbulent Dynamical Systems.- The Mathematical Theory of Turbulent Dynamical Systems.- Statistical Prediction and UQ for Turbulent Dynamical Systems.- State Estimation, Data Assimilation, or Filtering for Complex Turbulent Dynamical Systems.- Finite Ensemble Kalman Filders (EnKF): Applied Practice, Mathematical Theory, and New Phenomena.