Optimized outage capacity in random wireless networks in uniform and fractal maps

We want to estimate the capacity of wireless networks under several models and several geometric assumptions. We consider that all nodes transmit to a single fixed access point. The nodes are randomly distributed in an infinite fractal Cantor map embedded in a space of dimension D, a model which is more realistic than the classic piecemeal uniform map model. We consider three capacity models, one is a theoretical upper bound, the two other are variations on outage capacities.