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 …
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 …
First-order nonequilibrium phase transitions observed in active matter, fluid dynamics, biology, climate science, and other systems with irreversible dynamics are challenging to …
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 …
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 …
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 | Physics of Fluids | AIP Publishing Skip to Main Content Umbrella Alt Text Umbrella Alt Text Close Publishers AIP …
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 …
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 …