In this article we demonstrate the very inspiring role of the continuous-time random walk
(CTRW) formalism, the numerous modifications permitted by its flexibility, its various …

In this review article we present some of achievements of econophysics and sociophysics
which appear to us the most significant. We briefly explain what their roles are in building of …

Mathematical models of cognition are often memoryless and ignore potential fluctuations of
their parameters. However, human cognition is inherently dynamic. Thus, we propose to …

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 …

The observed distributions of stellar parameters, in particular, rotational and radial velocities,
often depart from the Maxwellian (Gaussian) distribution. In the absence of a consistent …

In the face of the upcoming 30th anniversary of econophysics, we review our contributions
and other related works on the modeling of the long-range memory phenomenon in …

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 …

We use the momentum operator with the Dunkl derivative in quantum mechanics and derive
its Schrödinger equation in one dimension with a harmonic oscillator potential. With the …

This paper focuses on why momentum expresses different dynamics based on complex
social networks. We construct an epidemiological information transmission model under the …

Markets are subjected to both endogenous and exogenous risks that have caused
disruptions to financial and economic markets around the globe, leading eventually to fast …