Rare events are ubiquitous in many different fields, yet they are notoriously difficult to
simulate because few, if any, events are observed in a conventional simulation run. Over the …

Stochastic processes and diffusion theory are the mathematical underpinnings of many
scientific disciplines, including statistical physics, physical chemistry, molecular biophysics …

Large deviation functions of configurations exhibit very different behaviors in and out of
thermal equilibrium. In particular, they exhibit singularities in a broad range of non …

Freidlin‐Wentzell theory of large deviations for the description of the effect of small random
perturbations on dynamical systems is exploited as a numerical tool. Specifically, a …

An insightful deep learning framework is proposed to solve the well-known Fokker–Planck
(FP) equations that quantify the evolution of the probability density function. It efficiently …

We analyze the efficiency of several simulation methods which we have recently proposed
for calculating rate constants for rare events in stochastic dynamical systems in or out of …

Consider a two-dimensional continuous-time dynamical system, with an attracting fixed point
S. If the deterministic dynamics are perturbed by white noise (random perturbations) of …

With the rapid increase of valuable observational, experimental and simulating data for
complex systems, much effort is being devoted to discovering governing laws underlying the …

The design of analogue electronic experiments to investigate phenomena in nonlinear
dynamics, especially stochastic phenomena, is described in practical terms. The advantages …

We analyze the rates of noise-induced transitions between period-two attractors. The model
investigated is an underdamped oscillator parametrically driven by a field at nearly twice the …