Meteorologisches Institut
Universität Hamburg
Grindelberg 5
D-20144 Hamburg
Germany
Raum 4008
Tel: +49 (0)40 42838 9203
e-mail: Davide.Faranda(at)zmaw.de
Research Interests
Extreme Value Theory:
Extremes are shown to provide new ways to investigate dynamical systems and characterize the geometrical properties of the underlying attractors. The aim of our research projects in this field is to provide theoretical and numerical tools for the application of extreme value theory in many situations of practical interest, where the phenomena can be modeled through dynamical systems. Moreover, by studying the behaviour of extreme fluctuations for systems close to their tipping points, we aim to provide new theoretical advancements in the understanding of high-dimensional systems which feature a complex and chaotic behaviour.
Linear Response Theory:
Studying the response of a dynamical system to external perturbation through the Response Theory give us a way to understand the role of perturbations in modifying the structure on the attractor and to find the right way to parametrize them by stochastic processes. We apply both numerical and theoretical tools to study if it is possible to use the results to study climate dynamics.
List of Publications
- Faranda, D., Lucarini, V., Turchetti, G. & Vaienti, S. [2011]: Numerical convergence of the block-maxima approach to the Generalized Extreme Value distribution, J. Stat. Phys., 145(5),1156-1180.
- Faranda, D., Mestre, M. & Turchetti, G. [2012]: Analysis of round o errors with reversisibility test as a dynamical indicator. Accepted for publication: Int. J. Bif. Chaos.
- Faranda, D., Lucarini, V., Turchetti, G. & Vaienti, S. [2012]: Generalized Extreme Value distribution parameters ad dynamical indicator of stability. Accepted for publication: Int. J. Bif. Chaos.
- Lucarini, V., Faranda, D., and Willeit, M. [2011]: Bistable systems with stochastic noise: virtues and limits of effective one-dimensional Langevin equations, Nonlin. Processes Geophys., 19, 9-22
- Lucarini, V., Kuna, T., Wouters, J., Faranda, D. [2012]: Relevance of sampling schemes in light of Ruelle's linear response theory. Accepted for publication: Nonlinearity.
- Lucarini, V., Faranda, D., Wouters, J. [2012]: Universal behavior of extreme value statistics for selected observables of dynamical systems. Accepted for publication in: J. Stat. Phys.
- Lucarini, V., Faranda, D., Turchetti, G. & Vaienti, S. [2012]: Extreme Value Distribution for singular measures. Submitted to: Chaos
- The following book is also in preparation: "Extremes and Recurrence in Dynamical Systems." together with Freitas, J.M., Moreira Freitas, A.C., Holland, M.P., Lucarini, V., Nicol, M., Rabassa, P., Tood, M., and Vaienti, S.