This is my second question about Random Voronoi diagrams, in my first question was given some excellent advice but i was not clear in explaining what i was looking for.
I'm interested to know whether there are any known results about the following measures in 2-dimensional (preferably) random Vornoi diagrams. I think i should state also that i'm working in a circular disk so if the setting of any currently known results is different would the nature of the results change if i was to change the setting?
The measures are
a) The variance of the number of neighbours of each cell in the Vornoi Diagram. b) The variance of the length of the edges in the random Delaunay triangulation. c) The variance of the smallest, medium, and largest angles in the Delaunay triangulation.
I know it's perhaps not feasible to get information on the exact measures i am looking for, i'm therefore interested in anything related to the measures.