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

VM Gálfi, V Lucarini, F Ragone, J Wouters - La Rivista del Nuovo Cimento, 2021 - Springer
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 …

Multiple-scale stochastic processes: decimation, averaging and beyond

S Bo, A Celani - Physics reports, 2017 - Elsevier
The recent experimental progresses in handling microscopic systems have allowed to probe
them at levels where fluctuations are prominent, calling for stochastic modeling in a large …

Averaging principle and normal deviations for multiscale stochastic systems

M Röckner, L Xie - Communications in Mathematical Physics, 2021 - Springer
We study the asymptotic behavior for an inhomogeneous multiscale stochastic dynamical
system with non-smooth coefficients. Depending on the averaging regime and the …

Minimum-action method for nonequilibrium phase transitions

R Zakine, E Vanden-Eijnden - Physical Review X, 2023 - APS
First-order nonequilibrium phase transitions observed in active matter, fluid dynamics,
biology, climate science, and other systems with irreversible dynamics are challenging to …

Dynamical large deviations for homogeneous systems with long range interactions and the Balescu–Guernsey–Lenard equation

O Feliachi, F Bouchet - Journal of Statistical Physics, 2022 - Springer
We establish a large deviation principle for time dependent trajectories (paths) of the
empirical density of N particles with long range interactions, for homogeneous systems. This …

Long term effects of small random perturbations on dynamical systems: Theoretical and computational tools

T Grafke, T Schäfer, E Vanden-Eijnden - Recent progress and modern …, 2017 - Springer
Small random perturbations may have a dramatic impact on the long time evolution of
dynamical systems, and large deviation theory is often the right theoretical framework to …

Direct evaluation of dynamical large-deviation rate functions using a variational ansatz

D Jacobson, S Whitelam - Physical Review E, 2019 - APS
We describe a simple form of importance sampling designed to bound and compute large-
deviation rate functions for time-extensive dynamical observables in continuous-time Markov …

Fluctuations and large deviations of Reynolds stresses in zonal jet dynamics

F Bouchet, JB Marston, T Tangarife - Physics of Fluids, 2018 - pubs.aip.org
Fluctuations and large deviations of Reynolds stresses in zonal jet dynamics | Physics of Fluids |
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Reduction of a stochastic model of gene expression: Lagrangian dynamics gives access to basins of attraction as cell types and metastabilty

E Ventre, T Espinasse, CE Bréhier, V Calvez… - Journal of Mathematical …, 2021 - Springer
Differentiation is the process whereby a cell acquires a specific phenotype, by differential
gene expression as a function of time. This is thought to result from the dynamical …

A large deviation principle for Markovian slow-fast systems

RC Kraaij, MC Schlottke - arXiv preprint arXiv:2011.05686, 2020 - arxiv.org
We prove pathwise large deviation principles of slow variables in slow-fast systems in the
limit of time-scale separation tending to infinity. In the limit regime we consider, the …