Mark Holmes

In joint work with Tom Salisbury, we study a class of random directed graphs on Z^d that includes site percolation and oriented percolation. Motivated by the study of random walks in these random environments, we focus on those models in two...

Degenerate random environments (DRE) are a class of models of random media that arise naturally when considering random walks in non-elliptic random environments. In this talk we will motivate and introduce this class of models, discuss percolation...