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In this article, we consider a configuration of weighted random balls in$\mathbb{R}^d$ generated according to a Poisson point process. The modelinvestigated exhibits inhomogeneity, as well as dependence between the centersand the radii and heavy tails phenomena. We investigate the asymptotic behaviorof the total mass of the configuration of the balls at a macroscopic level.Three different regimes appear depending on the intensity parameters and thezooming factor. Among the three limiting fields, two are stable while the thirdone is a Poisson integral bridging between the two stable regimes. For someparticular choices of the inhomogeneity function, the limiting fields exhibitisotropy or self-similarity.

Random Balls Model With Dependence