# Applications of large deviation theory in geophysical fluid dynamics and climate science

@article{Glfi2021ApplicationsOL, title={Applications of large deviation theory in geophysical fluid dynamics and climate science}, author={Vera Melinda G{\'a}lfi and Valerio Lucarini and Francesco Ragone and Jeroen Wouters}, journal={La Rivista del Nuovo Cimento}, year={2021}, volume={44}, pages={291-363} }

The climate is a complex, chaotic system with many degrees of freedom. Attaining a deeper level of understanding of climate dynamics is an urgent scientific challenge, given the evolving climate crisis. In statistical physics, many-particle systems are studied using Large Deviation Theory (LDT). A great potential exists for applying LDT to problems in geophysical fluid dynamics and climate science. In particular, LDT allows for understanding the properties of persistent deviations of climatic…

## 5 Citations

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- Environmental Science, PhysicsWeather and Climate Dynamics
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Abstract. The extratropical meridional energy transport in the atmosphere is fundamentally intermittent in nature, having extremes large enough to affect the net seasonal transport. Here, we…

## References

SHOWING 1-10 OF 355 REFERENCES

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

- Environmental Science
- 2016

Multistability is a ubiquitous feature in systems of geophysical relevance and provides key challenges for our ability to predict a system’s response to perturbations. Near critical transitions small…

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

- Environmental Science
- 2017

Multistability is a ubiquitous feature in systems of geophysical relevance and provides key challenges for our ability to predict a system’s response to perturbations. Near critical transitions small…

### Mathematical and physical ideas for climate science

- Environmental Science
- 2014

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 multiscale…

### The physics of climate variability and climate change

- Environmental Science
- 2019

The climate system is a forced, dissipative, nonlinear, complex and heterogeneous system that is out of thermodynamic equilibrium. The system exhibits natural variability on many scales of motion, in…

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

- Environmental ScienceProceedings of the National Academy of Sciences
- 2017

An algorithm to sample rare events in climate models with a computational cost from 100 to 1,000 times less than direct sampling of the model is proposed, and the dynamics of events that would not be observed otherwise are described.

### Exploring the Lyapunov instability properties of high-dimensional atmospheric and climate models

- Environmental Science, PhysicsNonlinear Processes in Geophysics
- 2018

Abstract. The stability properties of intermediate-order climate models are
investigated by computing their Lyapunov exponents (LEs). The two models
considered are PUMA (Portable University Model of…

### Stochastic climate models Part I. Theory

- Environmental Science
- 1976

A stochastic model of climate variability is considered in which slow changes of climate are explained as the integral response to continuous random excitation by short period “weather” disturbances.…

### A mathematical theory of climate sensitivity or, How to deal with both anthropogenic forcing and natural variability?

- Environmental Science
- 2015

Recent estimates of climate evolution over the coming century still differ by several degrees. This uncertainty motivates the work presented here. There are two basic approaches to apprehend the…

### Dynamical landscape and multistability of a climate model

- Environmental ScienceProceedings of the Royal Society A
- 2021

We apply two independent data analysis methodologies to locate stable climate states in an intermediate complexity climate model and analyse their interplay. First, drawing from the theory of…

### A mathematical framework for stochastic climate models

- Environmental Science
- 2001

There has been a recent burst of activity in the atmosphere‐ocean sciences community in utilizing stable linear Langevin stochastic models for the unresolved degrees of freedom in stochastic climate…