  We investigate the high-dimensional asymptotic distributional behavior of the
$\mathbf{f}$-vector of a random Vietoris-Rips complex, that is generated over a
stationary Poisson point process in $[-\frac{1}{2}, \frac{1}{2}]^d$ as the
space dimension and the intensity tend to infinity while the radius parameter
tends to zero simultaneously.
