First observed by botanist Robert Brown in 1827, Brownian Motion describes the continuous, chaotic movement of tiny particles, such as pollen grains, suspended in a medium. This motion results from ...

Brownian motion in the presence of magnetic fields and under non-Markovian dynamics lies at a critical intersection of statistical physics and applied mathematics. This field examines how charged ...

The study of stochastic differential equations (SDEs) has long been a cornerstone in the modelling of complex systems affected by randomness. In recent years, the extension to G-Brownian motion has ...

Brownian motion is the stochastic, irregular movement of microscopic particles suspended in a fluid, arising from incessant bombardment by thermally agitated solvent molecules. Phenomenologically, it ...