Mathematical and physical ideas for climate science

V Lucarini, R Blender, C Herbert… - Reviews of …, 2014 - Wiley Online Library
The climate is a forced and dissipative nonlinear system featuring nontrivial dynamics on a
vast range of spatial and temporal scales. The understanding of the climate's structural and …

[HTML][HTML] Stochastic parameterization: Toward a new view of weather and climate models

J Berner, U Achatz, L Batte… - Bulletin of the …, 2017 - journals.ametsoc.org
Stochastic Parameterization: Toward a New View of Weather and Climate Models in:
Bulletin of the American Meteorological Society Volume 98 Issue 3 (2017) Jump to Content …

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

F Ragone, V Lucarini, F Lunkeit - Climate dynamics, 2016 - Springer
The sensitivity of climate models to increasing CO 2 concentration and the climate response
at decadal time-scales are still major factors of uncertainty for the assessment of the long …

Response operators for Markov processes in a finite state space: radius of convergence and link to the response theory for Axiom A systems

V Lucarini - Journal of Statistical Physics, 2016 - Springer
Using straightforward linear algebra we derive response operators describing the impact of
small perturbations to finite state Markov processes. The results can be used for studying …

Stochastic parametrization of subgrid‐scale processes in coupled ocean–atmosphere systems: benefits and limitations of response theory

J Demaeyer, S Vannitsem - Quarterly Journal of the Royal …, 2017 - Wiley Online Library
A stochastic subgrid‐scale parametrization based on the Ruelle's response theory and
proposed by Wouters and Lucarini is tested in the context of a low‐order coupled ocean …

Nonequilibrium temperature response for stochastic overdamped systems

G Falasco, M Baiesi - New Journal of Physics, 2016 - iopscience.iop.org
The thermal response of nonequilibrium systems requires the knowledge of concepts that go
beyond entropy production. This is showed for systems obeying overdamped Langevin …

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

V Lucarini, J Wouters - Journal of Physics A: Mathematical and …, 2017 - iopscience.iop.org
Predicting the response of a system to perturbations is a key challenge in mathematical and
natural sciences. Under suitable conditions on the nature of the system, of the perturbation …

An exploration of multivariate fluctuation dissipation operators and their response to sea surface temperature perturbations

D Fuchs, S Sherwood… - Journal of the Atmospheric …, 2015 - journals.ametsoc.org
The fluctuation–dissipation theorem (FDT) has been proposed as a method of calculating
the mean response of the atmosphere to small external perturbations. This paper explores …

Variational optimization and data assimilation in chaotic time-delayed systems with automatic-differentiated shadowing sensitivity

N Chandramoorthy, L Magri, Q Wang - arXiv preprint arXiv:2011.08794, 2020 - arxiv.org
In this computational paper, we perform sensitivity analysis of long-time (or ensemble)
averages in the chaotic regime using the shadowing algorithm. We introduce automatic …

Comparison of stochastic parameterizations in the framework of a coupled ocean–atmosphere model

J Demaeyer, S Vannitsem - Nonlinear Processes in Geophysics, 2018 - npg.copernicus.org
A new framework is proposed for the evaluation of stochastic subgrid-scale
parameterizations in the context of the Modular Arbitrary-Order Ocean-Atmosphere Model …