The seemingly random movement of Brownian motion just got a little more classical. Scientists have been able to image the ultrafast motions of a trapped particle, revealing the underlining ...

Lausanne, Switzerland-- An international group of researchers from the EPFL (Ecole Polytechnique Fédérale de Lausanne), the University of Texas at Austin and the European Molecular Biology Laboratory ...

There are nuances to particle movement and energy at tiny scales that one of Einstein's equations did not capture, according to a paper published in Science this week. Researchers were able to measure ...

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 ...

Classical Brownian motion theory was established over one hundred year ago, describing the stochastic collision behaviors between surrounding molecules. Recently, researchers from Technical Institute ...

“I did not believe that it was possible to study the Brownian motion with such a precision.” From a letter from Albert Einstein to Jean Perrin (1909). On 30 April 1905, Einstein completed his doctoral ...

This paper studies a problem of Bayesian parameter estimation for a sequence of scaled counting processes whose weak limit is a Brownian motion with an unknown drift. The main result of the paper is ...