  A real number $\lambda$ is called a Z-eigenvalue of a tensor $A$, if
$\lambda$ is an eigenvalue of $A$ and the corresponding eigenvector $v$ is real
and satisfies $v^Tv=1$. In this paper we compute the expected number of
Z-eigenvalues of a real gaussian tensor and its asymptotic behaviour. Here we
call a tensor $A=(A_{i_0,\ldots,i_{d}}) \in\mathbb{R}^{n^{d+1}}$ gaussian, when
the $A_{i_0,\ldots,i_{d}}$ are centered gaussian random variables with variance
$\sigma^2= 1$.
