Metastability in randomly perturbed dynamical systems: beyond large-deviation theory (Q776397)

Summary: We address the question of noise-induced transitions in continuous-time dynamical systems with special emphasis on aspects which go beyond standard large-deviation theory. After reviewing the classical Wentzell-Freidlin theory, we discuss the subexponential asymptotics of transition times between potential wells, transitions between stationary states in parabolic stochastic partial differential equations (SPDEs), first-exit from a domain with characteristic boundary, and the effect of noise on so-called mixed-mode oscillations. For the entire collection see [Zbl 1416.60012].