  Deterministic identification (DI) is addressed for Gaussian channels with
fast and slow fading, where channel side information is available at the
decoder. In particular, it is established that the number of messages scales as
$2^{n\log(n)R}$, where $n$ is the block length and $R$ is the coding rate.
Lower and upper bounds on the DI capacity are developed in this scale for fast
and slow fading. Consequently, the DI capacity is infinite in the exponential
scale and zero in the double-exponential scale, regardless of the channel
noise.
