A precise characterization of structures occurring in turbulent fluid flows at high Reynolds
numbers is one of the last open problems of classical physics. In this review we discuss …

In the design of practical combustion systems, ensuring safety and reliability is an important
requirement. For instance, reliably avoiding lean blowout, flame flashback or inlet unstart is …

Studying extreme events and how they evolve in a changing climate is one of the most
important current scientific challenges. Starting from complex climate models, a key difficulty …

An overview of rare event algorithms based on large deviation theory (LDT) is presented. It
covers a range of numerical schemes to compute the large deviation minimizer in various …

Rare events play a crucial role in many physics, chemistry, and biology phenomena, when
they change the structure of the system, for instance in the case of multistability, or when …

Transitional localized turbulence in shear flows is known to either decay to an absorbing
laminar state or to proliferate via splitting. The average passage times from one state to the …

We introduce and compare computational techniques for sharp extreme event probability
estimates in stochastic differential equations with small additive Gaussian noise. In …

We investigate the spatio-temporal structure of the most likely configurations realizing
extremely high vorticity or strain in the stochastically forced three-dimensional …

In this paper we address the use of rare event computation techniques to estimate small
over-threshold probabilities of observables in deterministic dynamical systems. We …

We investigate the theoretical and numerical computation of rare transitions in simple
geophysical turbulent models. We consider the barotropic quasi-geostrophic and two …