Agenda

Stochastic Geometry and Dynamical System Analysis of Non-Terrestrial Networks based on Satellite Constellations

Speaker:
Francois Baccelli, French Academy of Sciences - INRIA Paris

Abstract:
This lecture will be focused on broadband communication networks based Low or Medium Earth Orbit satellite constellations. It will first describe the structure of these constellations, their overall functionalities, as well as the economic and strategic context of their current deployment. It will then survey recent and ongoing results on the mathematical analysis of such networks. It will show that the stochastic geometry framework for planar cellular networks can be extended to this new spherical geometry setting. This leads to a system level analysis of coverage and spectral efficiency of this new class of communication networks. In addition, it will show that a dynamical system analysis of this class of networks leads to new results on their ergodic or periodic behavior. The consequences on the dynamics of association, handover, and routing algorithms used in these networks will also be discussed.

Bio sketch:
Baccelli obtained his PhD at the University of Paris-Sud in 1983 under the supervision of Erol Gelenbe. Between 1991 and 2003, he was a faculty member at the applied mathematics department at École polytechnique. He was Simons Chair in mathematics and electrical and computer engineering at University of Texas at Austin between 2012 and 2021. Between 2012 and 2019, he was the head of the Simons Center on Communication, Information and Network Mathematics. Baccelli is a member of the French Academy of Sciences. He was awarded a Math+X chair by the Simons Foundation in 2012. He received an honorary doctorate of Heriot-Watt University, Edinburgh, in 2016, the ACM Sigmetrics Achievement Award, in 2014, and the Grand Prix France Telecom, of the French Academy of Sciences in 2002. In 2014, he was awarded both the Stephen O. Rice Prize and the 2014 Leonard G. Abraham Prize by the IEEE Communications Society.