My MathSciNet profile

## Research articles

The main links below lead to journal versions of the articles. The arXiv versions may differ (in fact do differ) from the final ones.

Click here to view the papers organized by topic or by coauthor.

1.
Logarithmic
Sobolev Inequalities and Concentration of Measure for Convex Functions
and Polynomial Chaoses, Bulletin
Polish Acad. Sci. Math. **53**
(2005), 221-238. arXiv version

2.
Moment Inequalities for U-statistics, Ann. Probab. 2006, Vol. 34, No. 6, 2288-2314. arXiv version

3. With R. Latała,
The LIL for canonical U-statistics, Ann. Probab. 2008, Vol. 36, No. 3, 1023-1058. arXiv version

4. With R. Latała,
The LIL for U-statistics in Hilbert spaces, J. Theoret. Probab. 21 (2008), 704-744. arXiv version

5.
A tail inequality for suprema of unbounded empirical processes with applications to Markov chains,
Electronic Journal of Probability, Vol. 13 (2008), 1000-1034.

6.
A few remarks on the operator norm of random Toeplitz matrices, J. Theoret. Probab, Volume 23 (2010), Number 1, 85-108. arXiv version

7. With O. Guédon, A. Litvak, A. Pajor and N. Tomczak-Jaegermann,
Smallest singular value of random matrices with independent columns,
Comptes Rendus Mathematique Vol. 346, Issues 15-16, 2008, 853-856

8. With A. Litvak, A. Pajor and N. Tomczak-Jaegermann,
Quantitative estimates of the convergence of the empirical covariance matrix in Log-concave Ensembles.
J. Amer. Math. Soc. 23 (2010), 535-561.
arXiv version

9. With A. Litvak, A. Pajor and N. Tomczak-Jaegermann,
Restricted isometry property of matrices with independent columns and neighborly polytopes by random sampling.
Constructive Approximation
Vol. 34, No. 1, 61-88. arXiv version

10. With R. Latała,
Tail and moment estimates for chaoses generated by symmetric random variables with logarithmically concave tails.
Annales de l’Institut Henri Poincaré. Probab. Statist. Volume 48, Number 4 (2012), 1103-1136.
arXiv version

11. With O. Guédon, A. Litvak, A. Pajor and N. Tomczak-Jaegermann,
Condition number of a square matrix with i.i.d. columns drawn from a convex body.
Proc. Amer. Math. Soc. 140 (2012), 987-998.
pdf file

12. With A. Litvak, A. Pajor and N. Tomczak-Jaegermann,
Sharp bounds on the rate of convergence of the empirical covariance matrix.
Comptes Rendus Mathematique
Volume 349, Issues 3-4, February 2011, Pages 195-200. arXiv version

13.
On the Marchenko-Pastur and circular laws for some classes of random matrices with dependent entries
Electronic Journal of Probability, Vol. 16 (2011) 1065-1095.

14. With R. Latała, A. Litvak, A. Pajor and N. Tomczak-Jaegermann,
Geometry of log-concave Ensembles of random matrices and approximate reconstruction.
Comptes Rendus Mathematique,
Volume 349, Issues 13–14, July 2011, Pages 783–-786. This is an announcement (without proofs) of the results contained in the following two articles.
arXiv version

15. With R. Latała, A. Litvak, A. Pajor and N. Tomczak-Jaegermann, Chevet type inequality and norms of submatrices. Studia Math. 210 (2012), 35-56.
arXiv version

16. With R. Latała, A. Litvak, A. Pajor and N. Tomczak-Jaegermann, Tail estimates for norms of sums of log-concave random vectors
(To appear in Proceedings of the London Mathematical Society). arXiv version

17. With P. Miłoś, CLT for Ornstein-Uhlenbeck branching particle system. arXiv version

18. With P. Miłoś, U-statistics of Ornstein-Uhlenbeck branching particle system. Journal of Theoretical Probability.
To appear, available online (November 2013)

19. With W. Bednorz, Orlicz integrability of additive functionals of Harris ergodic Markov chains. arXiv version

20. With W. Bednorz, Exponential Concentration Inequalities for Additive Functionals of Markov Chains, arXiv version

21. With R. Latała, A. Litvak, K. Oleszkiewicz, A. Pajor and N. Tomczak-Jaegermann, A Short Proof of Paouris' Inequality To appear in Canadian Mathematical Bulletin, arXiv version

22. With O. Guédon, R. Latała, A. Litvak, K. Oleszkiewicz, A. Pajor and N. Tomczak-Jaegermann, Moment estimates for convex measures,
Electronic Journal of Probability, Vol. 17, Article 1

23. The operator norm of random rectangular Toeplitz matrices. Accepted for High Dimensional Probability VI, The Banff Volume .pdf file

24. Some remarks on the Dozier-Silverstein Theorem for random matrices with dependent entries.
Random Matrices: Theory and Applications, Volume 02, Issue 02, April 2013

25. With D. Chafaï, Circular law for random matrices with unconditional log-concave distribution (submitted). arXiv version

26. With P. Wolff, Concentration inequalities for non-Lipschitz functions with bounded derivatives of higher order (submitted). arXiv version

27. With W. Bednorz, Some remarks on MCMC estimation of spectra of integral operators arXiv version

28. With D. Chafaï and P. Wolff, Circular law for random matrices with exchangeable entries, arXiv version

## Others

1. Równania różniczkowe zwyczajne - lecture notes on ODE's by prof. Feliks Przytycki, which I had the honour to coedit (PL!). pdf2. Master's thesis (or actually something in between of its Warsaw and Amsterdam version). pdf

3. Bachelor's thesis (PL). pdf