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 …

Many natural and engineered dynamical systems, including all living objects, exhibit
signatures of what can be called spontaneous dynamical long-range order (DLRO). This …

In the past few decades, probabilistic interpretations of brain functions have become
widespread in cognitive science and neuroscience. In particular, the free energy principle …

A recent parameter identification technique, the local lagged adapted generalized method of
moments, is used to identify the time-dependent disease transmission rate and time …

The complexity of collective dislocation behaviour has motivated the use of mesoscopic
models, which describe the average behaviour of dislocations. Due to the statistical nature …

Modeling complex systems with large numbers of degrees of freedom has become a grand
challenge over the past decades. In many situations, only a few variables are actually …

Intergranular stress corrosion cracking (IGSCC) occurs in polycrystalline alloys, and this
process is inherently stochastic. This study proposed a new approach to predict the service …

In stochastic thermodynamics standard concepts from macroscopic thermodynamics, such
as heat, work, and entropy production, are generalized to small fluctuating systems by …

We propose a method to obtain phase portraits for stochastic systems. Starting from the
Fokker-Planck equation, we separate the dynamics into a convective and a diffusive part …

We clarify what it means to have a spacetime fractal geometry in quantum gravity and show
that its properties differ from those of usual fractals. A weak and a strong definition of multi …