Researchers have for the first time experimentally shown, almost a century later, an idea dating from 1912. In that year the physicist Smoluchowski devised a prototype for an engine at the molecular ...

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 ...

A century after Albert Einstein said we would never be able to observe the instantaneous velocity of tiny particles as they randomly shake and shimmy (in so-called Brownian motion), physicist Mark ...

Sankhyā: The Indian Journal of Statistics, Series A (1961-2002), Vol. 63, No. 2 (Jun., 2001), pp. 178-193 (16 pages) Let $\{P_{x}\,\colon x\in \overline{D}\}$ denote the reflecting Brownian motion in ...

CHAMPAIGN, Ill. — In the classic fairy tale, "The Emperor's New Clothes," Hans Christian Andersen uses the eyes of a child to challenge conventional wisdom and help others to see more clearly. In ...

The real trees form a class of metric spaces that extends the class of trees with edge lengths by allowing behavior such as locally infinite total edge length and vertices with infinite branching ...

Brownian boomerangs: trajectory of a boomerang particle in water, starting from the top of the image, with the blue line tracking the point where the arms meet and the red line tracking the "centre of ...

(Nanowerk News) Active Brownian motion describes particles which can propel themselves forwards, while still being subjected to random Brownian motions as they are jostled around by their neighbouring ...

The instantaneous velocity of a Brownian particle has been measured for the first time, a result Einstein believed would be impossible. By trapping a micron-sized silica bead in air in an optical ...