Publications
- M. Rudelson , A characterization of 2--trivial
Banach
spaces with an unconditional basis, Zap. Nauchn. Sem. LOMI 157
(1987), 76--87, Russian; English translation in: Journal of
Soviet
Math., 44, no. 6, 800-808.
- M. Rudelson, Estimates
of the weak distance between finite--dimensional Banach spaces,
Israel J. of Math. 89(1995), 189--204.
- M. Rudelson, Approximate
John's decompositions, Operator Theory: Advances and
Applications 77(1995), 245--249.
- M. Avellaneda, A. V. Cherkaev, L. V. Gibiansky, G. W.
Milton,
M. Rudelson, A
complete
characterization of the possible bulk and shearmoduli of planar
polycrystals,
J. Mech. Phys. Solids,44(1996) 1179--1218.
- M. Rudelson, Contact
points
of convex bodies, Israel J. of Math. 101 (1997),
93-124.
- M. Rudelson, Almost
orthogonal
submatrices of an orthogonal matrix, Israel J. of Math. 111
(1999), 143-155.
- M. Rudelson, Random
vectors
in the isotropic position, J. of Functional Analysis,164
(1999) no. 1, 60-72.
- M. Rudelson, Sections
of
the difference body, Discrete and Comput. Geom. 23 (2000),
137-146.
- M. Rudelson, Distances
between non--symmetric convex bodies and the $MM^*$
estimate,
Positivity 4 (2000), no. 2, 161--178.
- A. A. Giannopoulos, V. D. Milman and M. Rudelson, Convex
bodies with minimal mean width, Geometric aspects of functional
analysis,
81--93, Lecture Notes in Math., 1745, Springer,
Berlin,
2001.
- M. Rudelson, R. Vershynin, Embeddings
of Levy families into Banach spaces, Geom. Funct. Anal.
12 (2002), no. 1, 183--198.
- M. Rudelson, Extremal distances between
sections
of convex bodies,
Geom. Funct. Anal. 14 (2004), no.
5,
1063--1088.
- M. Rudelson, R. Vershynin, Combinatorics
of random processes and
sections of convex bodies, Ann. of Math. (2)
164 (2006), no. 2, 603--648.
- A. Litvak, A. Pajor, M. Rudelson, N. Tomczak-Jaegermann, Smallest singular value of random matrices and
geometry of random
polytopes, Adv. Math. 195
(2005), no. 2,
491--523.
- A. Litvak, A. Pajor, M. Rudelson, N. Tomczak-Jaegermann, R.
Vershynin, Random Euclidean embeddings in
spaces of bounded volume ratio, Compt. Rendus Math. de
L'Academie des Sciences, Paris, Ser. 1 339 (2004), 33-38.
- S. Mendelson, A. Pajor, M. Rudelson, On the geometry of {-1,1} polytopes,
Discrete Comput. Geom. 34 (2005), no.
3, 365--379.
- A. E. Litvak, A. Pajor, M. Rudelson, N. Tomczak-Jaegermann, R.
Vershynin, Euclidean embeddings in
spaces of finite volume ratio via random matrices,
J. Reine Angew. Math. 589 (2005), 1--19.
- M. Rudelson, R. Vershynin, Geometric
approach to error correcting codes and reconstruction of signals,
Int. Math. Res. Not. 2005, no. 64,
4019--4041.
- M. Rudelson, R. Vershynin, Sampling from large matrices: an
approach through geometric functional analysis, to appear in
Journal of ACM.
- O. Guedon, M. Rudelson, L_p
moments of random vectors via majorizing measures, to appear
in Adv. Math.
- M. Rudelson, Invertibility of
random matrices: norm of the inverse, to appear in Annals
of Math.
- E. Candes, M. Rudelson, T. Tao, R. Vershynin, Error correction via linear programming,
FOCS 05.
- M. Rudelson, Lower
estimates for the singular values of random matrices,
Compt. Rendus Math. de
L'Academie des Sciences 342 (2006), no. 4,
247--252.
- M.Rudelson, R.Vershynin, On
sparse reconstruction from Fourier and Gaussian measurements,
submitted.
- M.Rudelson, R.Vershynin, Sparse
reconstruction by convex relaxation: Fourier
and Gaussian measurements, CISS
2006 (40th Annual Conference on Information Sciences and Systems)
(an abridged version of the previous paper)
- M.Rudelson, R.Vershynin, The
Littlewood-Offord Problem and invertibility of random matrices, to
appear in Adv. Math.
- M.Rudelson, R.Vershynin,
The
smallest singular value of a rectangular random matrix,