In this review, we scrutinize historical and modern results on the linear response of dynamic
systems to external perturbations and the celebrated relationship between fluctuations and …

The two volumes of this new edition of the Handbook cover the basic biological, medical,
physical, and electrical engineering principles. They also include experimental results …

Scale free Lévy motion is a generalized analogue of the Wiener process. Its time derivative
extends the notion of “white noise” to non-Gaussian noise sources, and as such, it has been …

The modelling of diffusion in membranes is essential to understanding transport processes
through membranes, especially when it comes to improving process efficiency. The purpose …

We investigate the distribution of potential and kinetic energy in stationary states of the
linearly damped stochastic oscillator driven by Lévy noises. In the long time limit …

The noise in nonequilibrium systems commonly contains more outliers as compared to
equilibrium systems and is often best described with a Lévy distribution. Many systems in …

Nonequilibrium systems commonly exhibit Lévy noise. This means that the distribution for
the size of the Brownian fluctuations has a “fat” power-law tail. Large Brownian kicks are …

Stochastic evolution of various dynamic systems and reaction networks is commonly
described in terms of noise assisted escape of an overdamped particle from a potential well …

The standard textbooks contain good explanations of how and why equilibrium
thermodynamics emerges in a reservoir with particles that are subjected to Gaussian noise …

Non-equilibrium stationary states of overdamped anharmonic stochastic oscillators driven by
Lévy noise are typically multimodal. The very same situation is recorded for an …