Title: Some geometric properties of an Aloha-like stability region
Speaker: Steven Weber 
Co-author: Nan Xie (Ph.D. student)
Drexel University, Philadelphia PA

Abstract: We consider the stability region of slotted Aloha under saturation from a geometric perspective.  In particular, we note several equivalent definitions of this set, give an explicit expression for the volume of the region, and discuss the impact of the permutation symmetries on the class of ellipsoids that may be used to approximate the region.  Finally, we characterize which ellipsoids in this class constitute inner and outer bounds on the region.