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The expected value for the weighted crossing number of a randomly weighted graph is studied. A variation of the Crossing Lemma for expectations is proved. We focus on the case where the edge-weights a...
New and improved Johnson-Lindenstrauss embeddings via the Restricted Isometry Property
New improved Johnson-Lindenstrauss embeddings Restricted Isometry Property
2010/11/29
Consider an m×N matrix with the Restricted Isometry Property of order k and level δ, that is, the norm of any k-sparse vector in RN is preserved to within a multiplicative factor of 1±δ under applic...
Direct vs. Two-Step Approach for Unique Word Generation in UW-OFDM
Direct vs. Two-Step Approach Unique Word Generation UW-OFDM
2010/12/8
Unique word OFDM is a novel technique for constructing OFDM symbols, that has many advantages
over cyclic prefix OFDM. In this paper we investigate two different approaches for the generation of an O...
Quantum Kinetic Evolution of Marginal Observables
quantum kinetic equation mean-field limit dual quantum BBGKY hierarchy evolution of observables
2010/12/3
We develop a rigorous formalism for the description of the evolution of observables of quantum systems of particles in the mean-field scaling limit. The corresponding asymptotics of a solution of the ...