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pro vyhledávání: '"Simonnet, Eric"'
Nonequilibrium phase transitions are notably difficult to analyze because their mechanisms depend on the system's dynamics in a complex way due to the lack of time-reversal symmetry. To complicate matters, the system's steady-state distribution is un
Externí odkaz:
http://arxiv.org/abs/2309.15033
Autor:
Simonnet, Eric
Predicting the occurence of rare and extreme events in complex systems is a well-known problem in non-equilibrium physics. These events can have huge impacts on human societies. New approaches have emerged in the last ten years, which better estimate
Externí odkaz:
http://arxiv.org/abs/2210.04042
Autor:
Simonnet, Eric, Chekroun, Mickaël D.
We propose a flexible machine-learning framework for solving eigenvalue problems of diffusion operators in moderately large dimension. We improve on existing Neural Networks (NNs) eigensolvers by demonstrating our approach ability to compute (i) eige
Externí odkaz:
http://arxiv.org/abs/2207.03166
Publikováno v:
Journal of the Atmospheric Science, volume 78, issue 6, pages 1889 - 1911
We demonstrate that turbulent zonal jets, analogous to Jovian ones, which are quasi-stationary, are actually metastable. After extremely long times, they randomly switch to new configurations with a different number of jets. The genericity of this ph
Externí odkaz:
http://arxiv.org/abs/2009.09913
Akademický článek
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Publikováno v:
Phys. Rev. Lett. 122, 074502 (2019)
Many turbulent flows undergo drastic and abrupt configuration changes with huge impacts. As a paradigmatic example we study the multistability of jet dynamics in a barotropic beta plane model of atmosphere dynamics. It is considered as the Ising mode
Externí odkaz:
http://arxiv.org/abs/1810.11057
In this paper we compute and analyse the transition rates and duration of reactive trajectories of the stochastic 1-D Allen-Cahn equations for both the Freidlin-Wentzell regime (weak noise or temperature limit) and finite-amplitude white noise, as we
Externí odkaz:
http://arxiv.org/abs/1507.05577
Autor:
Rolland, Joran, Simonnet, Eric
Publikováno v:
Journal of computational physics, volume 283, pp.541-558 (2015)
Adaptive multilevel splitting algorithms have been introduced rather recently for estimating tail distributions in a fast and efficient way. In particular, they can be used for computing the so-called reactive trajectories corresponding to direct tra
Externí odkaz:
http://arxiv.org/abs/1412.3362
Publikováno v:
Physica D: Nonlinear phenomena, Special Issue on The Euler Equations: 250 Years On, {\bf 237}(2008), 2111--2126
The purpose of this review-and-research paper is twofold: (i) to review the role played in climate dynamics by fluid-dynamical models; and (ii) to contribute to the understanding and reduction of the uncertainties in future climate-change projections
Externí odkaz:
http://arxiv.org/abs/1006.2864