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Explicit constructions of RIP matrices and related problems

Published:2011-07-15 Issue:1 Volume:159 Page:
ISSN:0012-7094
Container-title:Duke Mathematical Journal
language:
Short-container-title:Duke Math. J.

Author:

Bourgain Jean¹,Dilworth Stephen²,Ford Kevin³,Konyagin Sergei⁴,Kutzarova Denka⁵

Affiliation:

1. School of Mathematics, Institute for Advanced Study

2. Department of Mathematics, University of South Carolina

3. Department of Mathematics, University of Illinois at Urbana-Champaign

4. Steklov Mathematical Institute

5. Institute of Mathematics, Bulgarian Academy of Sciences; current: Department of Mathematics, University of Illinois at Urbana-Champaign

Publisher

Duke University Press

Subject

General Mathematics

Reference52 articles.

1. T. Tao and V. Vu, Additive Combinatorics, Cambridge Stud. Adv. Math. 105, Cambridge Univ. Press, Cambridge, 2006.

2. M. Ajtai, H. Iwaniec, J. Komlós, J. Pintz, and E. Szemerédi, Construction of a thin set with small Fourier coefficients, Bull. Lond. Math. Soc. 22 (1990), 583–590.

3. N. Alon, O. Goldreich, J. Håstad, and R. Peralta, Simple constructions of almost $k$-wise independent random variables, Random Structures Algorithms 3 (1992), 289–304.

4. J. Andersson, Explicit solutions to certain inf max problems from Turán power sum theory, Indag. Math. (N.S.) 18 (2007), 189–194.

5. —, “On the solutions to a power sum problem” in Analytic and Probabilistic Methods in Number Theory, TEV, Vilnius, 2007.

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