Fluctuation in weighted random ball model

Stochastics Seminar
Thursday, May 12, 2011 - 3:05pm
1 hour (actually 50 minutes)
Skiles 005
Universite de Rennes
We consider weighted random ball model driven by a Poisson random measure on \Bbb{R}^d\times \Bbb{R}^+\times \Bbb{R} with product heavy tailed intensity and we are interested in the functional describing the contribution of the model in some configurations of \Bbb{R}^d. The fluctuations of such functionals are investigated under different types of scaling and the talk will discuss the possible limits. Such models arise in communication network to represent the transmission of information emitted by stations distributed according to the Poisson measure.