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, the incessant random movement of microscopic particles driven by thermal fluctuations, plays a pivotal role in particle transport within porous media. Porous materials, characterised ...

The kinetic theory of molecules, involving many collisions between particles, leads to the emergence of physical Brownian motion (a). By generalizing the kinetic framework, the study showed the ...

We consider the continuous time symmetric random walk with a slow bond on ℤ, which rates are equal to 1/2 for all bonds, except for the bond of vertices {−1, 0}, which associated rate is given by αn−β ...

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 ...

Journal of Applied Probability, Vol. 54, No. 2 (JUNE 2017), pp. 444-461 (18 pages) We prove a second-order limit law for additive functionals of a d-dimensional fractional Brownian motion with Hurst ...