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On High Moments and the Spectral Norm of Large Dilute Wigner Random Matrices
random matrices Wigner ensemble dilute random matrices
2011/9/22
Abstract: We consider a dilute version of the Wigner ensemble of n-dimensional random matrices H such that each row has in average \rho_n non-zero elements. We study asymptotic properties of the spect...
From Low-Distortion Norm Embeddings to Explicit Uncertainty Relations and Efficient Information Locking
uncertainty relations information locking low-distortion norm embedding
2010/11/5
We exploit a connection between uncertainty relations and low-distortion embeddings of L2 into L1, which allows us to adapt an explicit low-distortion embedding to obtain efficient entropic uncertaint...
On the Global Regularity of Wave Maps in the Critical Sobolev Norm
Wave Maps Critical Sobolev Norm
2014/4/3
This paper, in collaboration with I. Rodnianski, is an extension of the recent higher dimensional critical regularity result of T. Tao to general bounded parallelizable Riemannian target manifolds.