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Davide Faranda

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 Publications     Curriculum Vitae       Research Projects 

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 Dynamical Systems Analysis of North Atlantic Circulation  [Matlab   R (by S. Thao)  Python (by Y. Robin)]

Position

I am a CNRS (permanent) Researcher in Complex Systems at the LSCE laboratory of the  University of Paris-Saclay,  and the coordinator (chef d'equipe) of the ESTIMR group. Since September 2017, I am also external fellow of the London Mathematical Laboratory, London, United Kingdom and of the Laboratoire de Meteorologie Dynamique de l'Ecole Normale Superieure in Paris.

Research Interests

Available here

Extreme Value Theory and Climate Extremes

Classical Extreme value laws have been recently found for orbits of dynamical systems. The theory has been devised for a special class of observables which allow for a link between the concept of extremes and the lack of Poincaré recurrences around a chosen point of the phase space. My contributions in this fields of research are directed towards the understanding of the relation between the recurrences and the extreme events, the nite time behavior of asymptotic laws and the generalizations of theoretical aspects to climate extremes. I am particularly interested in cold and snowy spells, heatwaves and extreme convective events.


Critical Phenomena in Complex Systems: Climate, Finance and Epidemiology

The understanding of the mechanism regulating the transitions between different attracting states in complex systems is a general problem in statistical mechanics. Systems which feature critical phenomena range from spin glasses up to finance, the climate systems and epidemiology. I have been involved in developing rigorous statistical methods for detecting the transition thresholds in datasets and in the modeling of systems at bifurcation points via the so called ARMA (Auto Regressive Moving Average) processes technique.


Turbulent and Geophysical flows

Providing a statistical description of turbulence, by combining theoretical findings with high quality experimental datasets, is helping in understanding several features of turbulent flows as the dissipation anomaly or the existence of singularities in the Navier Stokes equations. I am actually contributing to this research field by developing statistical techniques based on the Extreme Value Theory and the ARMA process analysis which allows for quantify the distance between observations and theoretical models in a rich model-parameter space.


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Curriculum Vitae

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North Atlantic Circulation Continuous Time Analyses

 

Download the daily values of dimension and persistence from 1948 to present*
The figure  displays some analyses performed using the instantaneous dimension d - the higher d, the more  unpredictable is the atmospheric circulation - and the persistence θ - the lower θ the more stable is the atmospheric circulation - of the sea level pressure field (in hPa) extracted from the NCEP Database. Please cite [Faranda et al. 2017 Scientific Reports] for research use. a) Sea-level pressure fields over the North-Atlantic showing the domain of the analysis for the selected day.  b) Distribution of the best 2% analogues per decades and c) per months. d) Scatter plots of dimension d and inverse persistence θ for all the data (ligth gray), the data of the month considered (dark gray) and the day of the analysis (red star).   e) Weather regimes, computed as the days beyond the 0.15 quantiles of the d and θ distributions.

* Last available date depends on the NCEP and GFS updates. A MATLAB package with the codes to perform this analysis is availabe here. Thanks to M Carmen Alvarez Castro for providing the R code, and Yoann Robin for the Python Package.

 

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