Over the past one hundred years, Brownian motion theory has contributed substantially to
our understanding of various microscopic phenomena. Originally proposed as a …

We provide a review to holographic models based on Einstein-dilaton gravity with a
potential in five dimensions. Such theories, for a judicious choice of potential are very close …

The relativistic diffusion process of heavy quarks is formulated on the basis of the relativistic
Langevin equation in Itô discretization scheme. The drag force inside the quark-gluon …

We calculate the bulk viscosity, drag force and jet quenching parameter in Improved
Holographic QCD. We find that the bulk viscosity rises near the phase transition but does not …

We construct a theory for the (1+ 1)-dimensional Brownian motion in a viscous medium,
which is (i) consistent with Einstein's theory of special relativity and (ii) reduces to the …

There is an intense debate in the recent literature about the correct generalization of
Maxwell's velocity distribution in special relativity. The most frequently discussed candidate …

A particular example is produced to prove that quantum walks can be used to simulate full-
fledged discrete gauge theories. A family of two-dimensional walks is introduced and its …

The Markovian diffusion theory is generalized within the framework of the special theory of
relativity. Since the velocity space in relativity is a hyperboloid, the mathematical stochastic …

A theory for (1+ 3)-dimensional relativistic Brownian motion under the influence of external
force fields is put forward. Starting out from a set of relativistically covariant, but multiplicative …

How ergodic is diffusion under harmonic confinements? How strongly do ensemble-and
time-averaged displacements differ for a thermally-agitated particle performing confined …