We study properties of a simple random walk on the random digraph when , .
We prove that whp the value of the stationary distribution at vertex v is asymptotic to where is the in-degree of v and is the expected number of edges of . If with n, the stationary distribution is asymptotically uniform whp.
Using this result we prove that, for , whp the cover time of is asymptotic to . If with n, then the cover time is asymptotic to .