Alexander Drewitz: An introduction to random interlacements with a view to chemical distance

Abstract: We start with giving an introduction to the model of 'Random Interlacements' introduced by Sznitman in 2007. Inspired by this model, we then proceed to exhibit recent developments of the notion of chemical distance in the model of random interlacements (in the unique infinite connected component) as well as for more general one parameter families of random infinite subsets of \(Z^d\). Here, we primarily focus on models with long-range correlations.