  In arXiv:1410.7268v3, the authors consider eigenvalues of overlapping Wishart
matrices and prove that its fluctuations asymptotically convergence to the
Gaussian free field. In this brief note, their result is extended to show that
when the matrix entries undergo stochastic evolution, the fluctuations
asymptotically converge to a three-dimensional Gaussian field, which has an
explicit contour integral formula. This is analogous to the result of
arXiv:1011.3544 for stochastic Wigner matrices.
