Random interlacements for vertex-reinforced jump processes

Franz Merkl, Silke W. W. Rolles, Pierre Tarrès

Published 2019-03-19Version 1

We introduce random interlacements for transient vertex-reinforced jump processes on a general graph $G$. Using increasing finite subgraphs $G_n$ of $G$ with wired boundary conditions, we show convergence of the vertex-reinforced jump process on $G_n$ observed in a finite window to the random interlacement observed in the same window.