We study a family of free multiplicative Brownian motions parameterized by a real variance and a complex covariance. In the case variance and covariance are the same, we identify a region such that th
Brownian motion is a foundational physical process characterized by a mean-squared displacement that scales linearly in time in thermal equilibrium, known as diffusion. At short times, the mean square
The time series for the displacement of a trapped Brownian particle modulated by Ornstein-Uhlenbeck noise is provided. The strengh of the noise correspond to the diffusion coefficient A= 0.2X(0.6X10<s
