# Stochastic Geometry and Wireless Network Design

**Abstract:**

The geometry of the location of mobiles and/or base stations plays akey role in several classes of wireless communication networks whereit determines the signal to interference ratio for each potentialchannel and hence the possibility of establishing simultaneouslysome set of communications at a given bit rate.

Stochastic geometry provides a natural way of defining (and computing)macroscopic properties of such networks, by some averaging overall potential geometrical patterns for e.g. the mobiles.

The talk will survey recent results obtained by this approach foranalyzing key properties of wireless networks such as coverage orconnectivity, and for evaluating the performance of a variety ofprotocols used in this context such as medium access control or routing.

Joint work with B. Blaszczyszyn.

** Biography:**

Francois Baccelli's research interests are in the theory ofstochastic networks and in the modeling and performanceevaluation of computer and communication systems.

He coauthored research monographs on point processes(with P. Bremaud in 1987), the max plus algebra(with G. Cohen, G.J. Olsder and J.P. Quadrat in 1992),queueing theory (with P. Bremaud in 2003) and stochasticgeometry for wireless networks (with B. Blaszczyszyn in 2009).

His current research interest are on the analysis of IPnetworks and on the development of new tools for the modelingof protocols with spatial components in wireless networks.

He is INRIA Directeur de Recherche in the Computer ScienceDepartment of Ecole Normale Superieure in Paris, where hestarted the research group on the theory of communicationnetworks in 1999.

F. Baccelli is a member of the French Academy of Sciences.