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 …

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

Sharp large deviation estimates for stochastic differential equations with small noise, based
on minimizing the Freidlin–Wentzell action functional under appropriate boundary …

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

We study the fluctuations of the area A=∫ 0 T x (t) dt under a one-dimensional Brownian
motion x (t) in a trapping potential∼| x|, at long times T→∞. We find that typical fluctuations …

Short-time large deviations of the spatially averaged height of a Kardar–Parisi–Zhang interface
on a ring - IOPscience This site uses cookies. By continuing to use this site you agree to our …

We discuss the role of particular velocity field configurations–instantons, for short–which are
supposed to dominate the flow during the occurrence of extreme turbulent circulation events …

Using the optimal fluctuation method, we evaluate the short-time probability distribution $ P
(\bar {H}, L, t= T) $ of the spatially averaged height $\bar {H}=(1/L)\int_0^ L h (x, t= T)\, dx $ of …

Rare events in the first-passage distributions of jump processes are capable of triggering
anomalous reactions or series of events. Estimating their probability is particularly important …

Recently, Josserand et al. proposed a stochastic nonlinear Schrödinger model for finite-time
singularity-mediated turbulence [Phys. Rev. Fluids 5, 054607 (2020) PLFHBR 2469-990X …