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CORR
2010
Springer
174views Education» more  CORR 2010»
14 years 10 months ago
Fractional generalizations of Young and Brunn-Minkowski inequalities
A generalization of Young's inequality for convolution with sharp constant is conjectured for scenarios where more than two functions are being convolved, and it is proven for...
Sergey Bobkov, Mokshay M. Madiman, Liyao Wang
CORR
2008
Springer
103views Education» more  CORR 2008»
14 years 10 months ago
"Real" Slepian-Wolf Codes
We provide a novel achievability proof of the Slepian-Wolf theorem for i.i.d. sources over finite alphabets. We demonstrate that random codes that are linear over the real field ac...
Bikash Kumar Dey, Sidharth Jaggi, Michael Langberg
FS
2006
105views more  FS 2006»
14 years 10 months ago
Financial equilibria in the semimartingale setting: Complete markets and markets with withdrawal constraints
We prove existence of stochastic financial equilibria on filtered spaces more general than the ones generated by finite-dimensional Brownian motions. These equilibria span complete...
Gordan Zitkovic
JCSS
2006
89views more  JCSS 2006»
14 years 9 months ago
Ramsey-type theorems for metric spaces with applications to online problems
A nearly logarithmic lower bound on the randomized competitive ratio for the metrical task systems problem is presented. This implies a similar lower bound for the extensively stu...
Yair Bartal, Béla Bollobás, Manor Me...
TIT
2008
92views more  TIT 2008»
14 years 9 months ago
Capacity of Ultra-Wideband Power-Constrained Ad Hoc Networks
In this correspondence, we show that the uniform throughput capacity of an ultra-wideband (UWB) power-constrained ad hoc network is given by 2(P ( n=logn) ), where P is the per-nod...
Xiaojun Tang, Yingbo Hua