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JC
2007
64views more  JC 2007»
14 years 11 months ago
Quadrature in Besov spaces on the Euclidean sphere
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...
Kerstin Hesse, H. N. Mhaskar, Ian H. Sloan
INFOCOM
2005
IEEE
15 years 5 months ago
Bounding the power rate function of wireless ad hoc networks
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...
Yunnan Wu, Qian Zhang, Wenwu Zhu, Sun-Yuan Kung
CORR
2007
Springer
134views Education» more  CORR 2007»
14 years 11 months ago
Rate-Constrained Wireless Networks with Fading Channels: Interference-Limited and Noise-Limited Regimes
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...
Masoud Ebrahimi, Amir K. Khandani
COMBINATORICS
2006
162views more  COMBINATORICS 2006»
14 years 11 months ago
Bounding the Partition Function of Spin-Systems
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,...
David J. Galvin
DCG
2010
76views more  DCG 2010»
14 years 12 months ago
The Euclidean Distortion of the Lamplighter Group
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...
Tim Austin, Assaf Naor, Alain Valette