Many processes in nature such as conformal changes in biomolecules and clusters of
interacting particles, genetic switches, mechanical or electromechanical oscillators with …

The quasipotential is a natural generalization of the concept of energy functions to non-
equilibrium systems. In the analysis of rare events in stochastic dynamics, it plays a central …

The probability of trajectories of weakly diffusive processes to remain in the tubular
neighborhood of a smooth path is given by the Freidlin-Wentzell-Graham theory of large …

The mean exit time escaping basin of attraction in the presence of white noise is of practical
importance in various scientific fields. In this work, we propose a strategy to control mean …

Stochastically switching force terms appear frequently in models of biological systems under
the action of active agents such as proteins. The interaction of switching forces and …

The quasipotential function allows for comprehension and prediction of the escape
mechanisms from metastable states in nonlinear dynamical systems. This function acts as a …

本文介绍了大偏差理论的基本思想, 基本概念以及大偏差理论在离出问题研究中的应用.
本文评述了有关离出问题的三个重要指标: 平均首次离出时间, 离出位置分布和最优离出路径 …

We present a new algorithm, the efficient jet marching method (EJM), for computing the
quasipotential and its gradient for two-dimensional SDEs. The quasipotential is a potential …

We develop a family of compact high-order semi-Lagrangian label-setting methods for
solving the eikonal equation. These solvers march the total 1-jet of the eikonal, and use …

The escape statistics of a gradient dynamical system perturbed by noise can be estimated
using properties of the associated potential landscape. More generally, the Freidlin and …