Process of a Random Planar Quadrangulation
A process of a random graph, that grows in a box [0,N]^2 ⊂ R^2 and yields a quadrangulation when it stops growing, is investigated in this work. The random components in this model come from the Poisson distributed number of points, the position of those, and the either horizontal or vertical direction in which lines grow from these points. The model finds inspiration in a cellular automata model