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 ...

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 ...

We discuss the weak compactness problem related to the self-intersection local time of Brownian motion. We also propose a regular renormalization for self-intersection local time of higher dimensional ...

Heterogeneous liquid samples are frequently subjected to dynamic light scattering as the method depends on the Brownian Motion effect to identify dispersed particles by their hydrodynamic radii. This ...

Stochastic dynamical systems arise in many scientific fields, such as asset prices in financial markets, neural activity in ...

At room temperature, micron-sized sheets of freestanding graphene are in constant motion, even in the presence of an applied bias voltage. University of Arkansas researchers collecting the ...

PROVIDENCE, R.I. [Brown University] — Imagine yourself swimming in a pool: It's the movement of your arms and legs, not the viscosity of the water, that mostly dictates the speed and direction that ...

Arkansas physicists have successfully developed a circuit capable of capturing graphene’s thermal motion and converting it into an electrical current. This lab curiousity only needs to be millions of ...