Global stability properties of the climate: Melancholia states, invariant measures, and phase transitions

Beyond Forcing Scenarios: Predicting Climate Change through Response Operators in a Coupled General Circulation Model

(2020) Valerio Lembo et al.   Scientific Reports

Transitions across Melancholia States in a Climate Model: Reconciling the Deterministic and Stochastic Points of View

(2019) Valerio Lucarini et al.   PHYSICAL REVIEW LETTERS

Co-existing climate attractors in a coupled aquaplanet

(2019) M. Brunetti et al.   CLIMATE DYNAMICS

Multistability and tipping: From mathematics and physics to climate and brain—Minireview and preface to the focus issue

(2018) Ulrike Feudel et al.   CHAOS

Crisis of the chaotic attractor of a climate model: a transfer operator approach

(2018) Alexis Tantet et al.   NONLINEARITY

The mathematics behind chimera states

(2018) O E Omel’chenko   NONLINEARITY

Storylines: an alternative approach to representing uncertainty in physical aspects of climate change

(2018) Theodore G. Shepherd et al.   CLIMATIC CHANGE

Tangled Nature: a model of emergent structure and temporal mode among co-evolving agents

(2018) Henrik Jeldtoft Jensen   EUROPEAN JOURNAL OF PHYSICS

Climate sensitivity to ozone and its relevance on the habitability of Earth-like planets

(2018) Illeana Gómez-Leal et al.   ICARUS

Edge states in the climate system: exploring global instabilities and critical transitions

(2017) Valerio Lucarini et al.   NONLINEARITY

Stochastic Chaos in a Turbulent Swirling Flow

(2017) D. Faranda et al.   PHYSICAL REVIEW LETTERS

Computation of extreme heat waves in climate models using a large deviation algorithm

(2017) Francesco Ragone et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Potential landscape of high dimensional nonlinear stochastic dynamics with large noise

(2017) Ying Tang et al.   Scientific Reports

Generalisation of the Eyring–Kramers Transition Rate Formula to Irreversible Diffusion Processes

(2016) Freddy Bouchet et al.   ANNALES HENRI POINCARE

Perturbative Calculation of Quasi-Potential in Non-equilibrium Diffusions: A Mean-Field Example

(2016) Freddy Bouchet et al.   JOURNAL OF STATISTICAL PHYSICS

Predicting Climate Change Using Response Theory: Global Averages and Spatial Patterns

(2016) Valerio Lucarini et al.   JOURNAL OF STATISTICAL PHYSICS

A new framework for climate sensitivity and prediction: a modelling perspective

(2015) Francesco Ragone et al.   CLIMATE DYNAMICS

Accelerated dynamics: Mathematical foundations and algorithmic improvements

(2015) T. Lelièvre   European Physical Journal-Special Topics

Probabilistic Concepts in a Changing Climate: A Snapshot Attractor Picture*

(2015) Gábor Drótos et al.   JOURNAL OF CLIMATE

Response Operators for Markov Processes in a Finite State Space: Radius of Convergence and Link to the Response Theory for Axiom A Systems

(2015) Valerio Lucarini   JOURNAL OF STATISTICAL PHYSICS

Climate of Earth-like planets with high obliquity and eccentric orbits: Implications for habitability conditions

(2015) Manuel Linsenmeier et al.   PLANETARY AND SPACE SCIENCE

Habitability and Multistability in Earth-like Planets

(2014) V. Lucarini et al.   ASTRONOMISCHE NACHRICHTEN

Global instability in the Ghil–Sellers model

(2014) Tamás Bódai et al.   CLIMATE DYNAMICS

Controlling Unstable Chaos: Stabilizing Chimera States by Feedback

(2014) Jan Sieber et al.   PHYSICAL REVIEW LETTERS

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

Mathematical and physical ideas for climate science

(2014) Valerio Lucarini et al.   REVIEWS OF GEOPHYSICS

Bistability of the climate around the habitable zone: A thermodynamic investigation

(2013) Robert Boschi et al.   ICARUS

Instanton filtering for the stochastic Burgers equation

(2013) Tobias Grafke et al.   Journal of Physics A-Mathematical and Theoretical

Systematic experimental exploration of bifurcations with noninvasive control

(2013) D. A. W. Barton et al.   PHYSICAL REVIEW E

Quasi-potential landscape in complex multi-stable systems

(2012) J. X. Zhou et al.   Journal of the Royal Society Interface

Climate of the Neoproterozoic

(2011) R.T. Pierrehumbert et al.   Annual Review of Earth and Planetary Sciences

On Malliavinʼs proof of Hörmanderʼs theorem

(2011) Martin Hairer   BULLETIN DES SCIENCES MATHEMATIQUES

The Jormungand global climate state and implications for Neoproterozoic glaciations

(2011) Dorian S. Abbot et al.   JOURNAL OF GEOPHYSICAL RESEARCH

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

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

Markovian perturbation, response and fluctuation dissipation theorem

(2010) Amir Dembo et al.   ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES

Tempo and mode of evolution in the tangled nature model

(2010) Dominic Jones et al.   PHYSICAL REVIEW E

Thermodynamic analysis of snowball Earth hysteresis experiment: Efficiency, entropy production and irreversibility

(2010) Valerio Lucarini et al.   QUARTERLY JOURNAL OF THE ROYAL METEOROLOGICAL SOCIETY

The transition from the present-day climate to a modern Snowball Earth

(2009) Aiko Voigt et al.   CLIMATE DYNAMICS

Basin boundary, edge of chaos and edge state in a two-dimensional model

(2009) Jürgen Vollmer et al.   NEW JOURNAL OF PHYSICS

A review of linear response theory for general differentiable dynamical systems

(2009) David Ruelle   NONLINEARITY

Climate dynamics and fluid mechanics: Natural variability and related uncertainties

(2008) Michael Ghil et al.   PHYSICA D-NONLINEAR PHENOMENA

Tipping elements in the Earth's climate system

(2008) T. M. Lenton et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA