Recent Papers

 

1.      S. J. Dilworth, E. Odell, Th. Schlumprecht and A. Zsák,  Coefficient Quantization in Banach spaces, Found. Comput. Math.  8  (2008), 703-736.

2.      P. G. Casazza, S. J. Dilworth, E. Odell, Th. Schlumprecht and A. Zsák,  Coefficient quantization for Frames  in Banach  spaces,  J. Math. Anal. Appl. 348 (2008), 66-86.

 3. S. J. Dilworth, Denka Dutzarova, K. Shuman, V. N. Temlyakov and P. Wojtaszczyk, Weak Convergence of Greedy Algorithms in Banach Spaces, J. Fourier Anal. Appl. 14 (2008), 609-628.

4.  S. J  Dilworth, E. Odell, Th. Schlumprecht and A. Zsák,  Partial Unconditionality, Houston J. Math. 35 (2009), 1251-1311.

5.  G. Androulakis, S. J. Dilworth, and N. J. Kalton, A New Approach to the Ramsey-type Games and the Gowers Dichotomy,  Combinatorica 30 (2010), 359-385.

6.  S. J. Dilworth, E. Odell, Th. Schlumprecht, and Andras Zsák, On the Convergence of Greedy Algorithms for Initial Segments of the Haar Basis,    Math. Proc. Camb. Phil. Soc. 148 (2010), 519-529.

7.  S. J. Dilworth, D. Freeman, E. Odell and Th. Schlumprecht, Greedy Bases for Besov Spaces, Constr. Approx., 34 (2011), 145-185.

8. S. J. Dilworth and S. R. Mane,  Inscribing a regular m-gon in a regular n-gon, J. Geom.  97 (2010), 59-67.

9.  S. J. Dilworth and S. R. Mane,  On a problem of Croft on optimally nested regular polygons, J. Geom.  99 (2010), 43-66.

10.  Jean Bourgain, S. J. Dilworth, Kevin Ford, Sergei Konyagin and Denka Kutzarova, Explicit Constructions of RIP Matrices and Related Problems, Duke Math. J. 159 (2011), 145-185.

11. Jean Bourgain, S. J. Dilworth, Kevin Ford, Sergei Konyagin and Denka Kutzarova, Breaking the k2 Barrier for Explicit RIP Matrices,  STOC’11,  Proceedings of the 43rd ACM Symposium on Theory of Computing, 637-644, ACM, New York, 2011.

12. S. J. Dilworth, E. Odell, Th. Schlumprecht, and A.  Zsák, Renormings and Symmetry Properties of  1-greedy bases, J. Approx Theory 163 (2011), 1049-1075.

13.  S. J. Dilworth, Denka Kutzarova, Th. Schlumprecht, and P. Wojtaszczyk, Weak Thresholding Greedy Algorithms in Banach Spaces,  J. Funct. Anal. 263 (2012), 3900-3921.

14. S. J. Dilworth, M. Soto-Bajo, and V. N. Temlyakov, Quasi-Greedy Bases and Lebesgue-type Inequalities, Studia Math. 211 (2012), 41-69.

15. S. J. Dilworth, Gilles Lancien, Denka Kutzarova, and N. Lovosoa Randrianarivony, Asymptotic Geometry and Uniform Quotient Maps,  Proc. Amer. Math. Soc. (in press).

16. S. J. Dilworth, Denka Kutzarova,  N. Lovosoa Randrianarivony, J. P. Revalski, and N. V. Zhivkov, Compactly uniformly convex spaces and property  (β) of Rolewicz, J. Math. Anal. Appl. J. Math. Anal. Appl. 402 (2013), 297-307.

17. S. J. Dilworth, S. Gogyan, and Denka Kutzarova, On the Convergence of a Weak Greedy Algorithm for the  Multivariate Haar Basis, Constr. Approx. (in press).

18. S. J. Dilworth, Denka Kutzarova, and  N. Lovosoa Randrianarivony, The transfer of  property  (β) of Rolewicz by a uniform quotient map, submitted.

19. S. J. Dilworth and B. Randrianantoanina, Almost transitive and maximal norms in Banach spaces, submitted.