We discuss the space-time determinantal random field which arises for the PNG model in one dimension and resembles the one for Dyson’s Brownian motion. The information of interest for growth processes is carried by the edge statistics of the random field and therefore their universal scaling is related to the edge properties of Gaussian multimatrix models.

We analyze electromagnetic field propagation through a random medium that consists of hyperbolic metamaterial domains separated by regions of normal "elliptic" space. This situation may occur in a problem as common as 9 μm light propagation through a pile of sand, or as exotic as electromagnetic field behavior in the early universe immediately after the electroweak phase transition. We demonstr...