Let q ≥ 1 be an integer, Sq denote the unit sphere embedded in the Euclidean space Rq+1, and µq be its Lebesgue surface measure. We establish upper and lower bounds for sup f...
Abstract— Given a wireless ad hoc network and an endto-end traffic pattern, the power rate function refers to the minimum total power required to support different throughput un...
A network of n wireless communication links is considered in a Rayleigh fading environment. It is assumed that each link can be active and transmit with a constant power P or rema...
With a graph G = (V, E) we associate a collection of non-negative real weights vV {i,v : 1 i m} uvE{ij,uv : 1 i j m}. We consider the probability distribution on {f : V {1,...
We show that the cyclic lamplighter group C2 Cn embeds into Hilbert space with distortion O log n . This matches the lower bound proved by Lee, Naor and Peres in [14], answering a...