Guillem Perarnau Extremal stationary values for directed random graphs In this talk, we will discuss the minimum positive value of the stationary distribution of a random walk on a directed random graph with given (bounded) degrees. While for undirected graphs the stationary distribution is simply determined by the degrees, the graph geometry plays a major role in the directed case. Understanding typical stationary values is key to determining the mixing time of the walk, as shown by Bordenave, Caputo, and…