Time series generated by complex systems like financial markets and the earth's
atmosphere often represent superstatistical random walks: on short time scales, the data …

Because of the long-range nature of the gravitational interaction, self-gravitating systems
never reach thermal equilibrium in the thermodynamic limit but remain trapped in …

Power-grid systems constitute one of the most complex man-made spatially extended
structures. These operate with strict operational bounds to ensure synchrony across the grid …

Distributions different from those predicted by equilibrium statistical mechanics are
commonplace in a number of physical situations, such as plasmas and self-gravitating …

Motivated by the recent result by Davis et al.[Phys. Rev. E 100, 023205 (2019) 2470-0045
10.1103/PhysRevE. 100.023205] that velocity distributions of collisionless steady-state …

Distributions that deviate from equilibrium predictions are commonly observed across a
broad spectrum of systems, ranging from laboratory experiments to astronomical …

In this paper, we show that the price of an European call option, whose underlying asset
price is driven by the space-time fractional diffusion, can be expressed in terms of rapidly …

Abstract The standard Large Deviation Theory (LDT) mirrors the Boltzmann–Gibbs (BG)
factor which describes the thermal equilibrium of short-range Hamiltonian systems, the …

We consider several market models, where time is subordinated to a stochastic process.
These models are based on various time changes in the Lévy processes driving asset …

The scaling properties of turbulent flows are well established in the inertial sub-range.
However, those of the synoptic-scale motions are less known, also because of the difficult …