Doubly periodic lozenge tilings of a hexagon and matrix valued orthogonal polynomials
Doubly periodic lozenge tilings of a hexagon and matrix valued orthogonal polynomials
Abstract We analyze a random lozenge tiling model of a large regular hexagon, whose underlying weight structure is periodic of period 2 in both the horizontal and vertical directions. This is a determinantal point process whose correlation kernel is expressed in terms of nonāHermitian matrix valued orthogonal polynomials (OPs). This ā¦