Reduced-order models for coupled dynamical systems: Data-driven methods and the Koopman operator

Efficient reduction for diagnosing Hopf bifurcation in delay differential systems: Applications to cloud-rain models

(2020) Mickaël D. Chekroun et al.   CHAOS

Ruelle–Pollicott Resonances of Stochastic Systems in Reduced State Space. Part I: Theory

(2020) Mickaël D. Chekroun et al.   JOURNAL OF STATISTICAL PHYSICS

The physics of climate variability and climate change

(2020) Michael Ghil et al.   REVIEWS OF MODERN PHYSICS

Improving data‐driven global weather prediction using deep convolutional neural networks on a cubed sphere

(2020) Jonathan A. Weyn et al.   Journal of Advances in Modeling Earth Systems

Ranking IPCC Model Performance Using the Wasserstein Distance

(2020) G. Vissio et al.   GEOPHYSICAL RESEARCH LETTERS

Data-driven model reduction, Wiener projections, and the Koopman-Mori-Zwanzig formalism

(2020) Kevin K. Lin et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Edgeworth expansions for slow–fast systems with finite time-scale separation

(2019) Jeroen Wouters et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Variational Approach to Closure of Nonlinear Dynamical Systems: Autonomous Case

(2019) Mickaël D. Chekroun et al.   JOURNAL OF STATISTICAL PHYSICS

Could Machine Learning Break the Convection Parameterization Deadlock?

(2018) P. Gentine et al.   GEOPHYSICAL RESEARCH LETTERS

Revising and Extending the Linear Response Theory for Statistical Mechanical Systems: Evaluating Observables as Predictors and Predictands

(2018) Valerio Lucarini   JOURNAL OF STATISTICAL PHYSICS

Deep learning to represent subgrid processes in climate models

(2018) Stephan Rasp et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Using Machine Learning to Parameterize Moist Convection: Potential for Modeling of Climate, Climate Change, and Extreme Events

(2018) Paul A. O'Gorman et al.   Journal of Advances in Modeling Earth Systems

Middle atmosphere dynamical sources of the semiannual oscillation in the thermosphere and ionosphere

(2017) M. Jones et al.   GEOPHYSICAL RESEARCH LETTERS

Response formulae for n-point correlations in statistical mechanical systems and application to a problem of coarse graining

(2017) Valerio Lucarini et al.   Journal of Physics A-Mathematical and Theoretical

Resonances in a Chaotic Attractor Crisis of the Lorenz Flow

(2017) Alexis Tantet et al.   JOURNAL OF STATISTICAL PHYSICS

A proof of concept for scale-adaptive parametrizations: the case of the Lorenz '96 model

(2017) Gabriele Vissio et al.   QUARTERLY JOURNAL OF THE ROYAL METEOROLOGICAL SOCIETY

Low-dimensional galerkin approximations of nonlinear delay differential equations

(2016) Shouhong Wang et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Discovering governing equations from data by sparse identification of nonlinear dynamical systems

(2016) Steven L. Brunton et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

An early warning indicator for atmospheric blocking events using transfer operators

(2015) Alexis Tantet et al.   CHAOS

Data-driven non-Markovian closure models

(2015) Dmitri Kondrashov et al.   PHYSICA D-NONLINEAR PHENOMENA

Discrete approach to stochastic parametrization and dimension reduction in nonlinear dynamics

(2015) Alexandre J. Chorin et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Rough parameter dependence in climate models and the role of Ruelle-Pollicott resonances

(2014) Mickaël David Chekroun et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Stochastic climate theory and modeling

(2014) Christian L. E. Franzke et al.   Wiley Interdisciplinary Reviews-Climate Change

Multi-level Dynamical Systems: Connecting the Ruelle Response Theory and the Mori-Zwanzig Approach

(2013) Jeroen Wouters et al.   JOURNAL OF STATISTICAL PHYSICS

Efficient stochastic superparameterization for geophysical turbulence

(2013) I. Grooms et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Homogenization for deterministic maps and multiplicative noise

(2013) G. A. Gottwald et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Invariant Measures for Dissipative Dynamical Systems: Abstract Results and Applications

(2012) Mickaël D. Chekroun et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Disentangling multi-level systems: averaging, correlations and memory

(2012) Jeroen Wouters et al.   JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

A note on diffusion limits of chaotic skew-product flows

(2011) I Melbourne et al.   NONLINEARITY

Stochastic climate dynamics: Random attractors and time-dependent invariant measures

(2011) Mickaël D. Chekroun et al.   PHYSICA D-NONLINEAR PHENOMENA

Dynamic mode decomposition of numerical and experimental data

(2010) PETER J. SCHMID   JOURNAL OF FLUID MECHANICS

A simple framework to justify linear response theory

(2010) Martin Hairer et al.   NONLINEARITY

Asymptotics of the Coleman-Gurtin model

(2010) Vittorino Pata et al.   Discrete and Continuous Dynamical Systems-Series S

Scale-Dependent Models for Atmospheric Flows

(2009) Rupert Klein   Annual Review of Fluid Mechanics

Spectral analysis of nonlinear flows

(2009) CLARENCE W. ROWLEY et al.   JOURNAL OF FLUID MECHANICS

A review of linear response theory for general differentiable dynamical systems

(2009) David Ruelle   NONLINEARITY