Concentration inequalities
1. Logarithmic Sobolev Inequalities and Concentration of Measure for Convex Functions and Polynomial Chaoses, Bulletin Polish Acad. Sci. Math. 53 (2005), 221-238. arXiv version2. Moment Inequalities for U-statistics, Ann. Probab. 2006, Vol. 34, No. 6, 2288-2314. arXiv version
3. A tail inequality for suprema of unbounded empirical processes with applications to Markov chains, Electronic Journal of Probability, Vol. 13 (2008), 1000-1034.
4. 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
5. With W. Bednorz, Orlicz integrability of additive functionals of Harris ergodic Markov chains. arXiv version
6. With W. Bednorz, Exponential Concentration Inequalities for Additive Functionals of Markov Chains, arXiv version
7. With P. Wolff, Concentration inequalities for non-Lipschitz functions with bounded derivatives of higher order (submitted). arXiv version
U-statistics
1. Moment Inequalities for U-statistics, Ann. Probab. 2006, Vol. 34, No. 6, 2288-2314. arXiv version2. With R. Latała, The LIL for canonical U-statistics, Ann. Probab. 2008, Vol. 36, No. 3, 1023-1058. arXiv version
3. With R. Latała, The LIL for U-statistics in Hilbert spaces, J. Theoret. Probab. 21 (2008), 704-744. arXiv version
4. With P. Miłoś, U-statistics of Ornstein-Uhlenbeck branching particle system. Journal of Theoretical Probability. To appear, available online (November 2013)
5. With W. Bednorz, Some remarks on MCMC estimation of spectra of integral operators arXiv version
Random matrices
1. A few remarks on the operator norm of random Toeplitz matrices, J. Theoret. Probab, Volume 23 (2010), Number 1, 85-108. arXiv version2. 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
3. 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
4. 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
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
5. 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
6. 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.
7. 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
8. 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
9. 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
10. The operator norm of random rectangular Toeplitz matrices. Accepted for High Dimensional Probability VI, The Banff Volume .pdf file
11. With D. Chafaï, Circular law for random matrices with unconditional log-concave distribution (submitted). arXiv version
12. Some remarks on the Dozier-Silverstein Theorem for random matrices with dependent entries. Random Matrices: Theory and Applications, Volume 02, Issue 02, April 2013 13. With W. Bednorz, Some remarks on MCMC estimation of spectra of integral operators arXiv version
14. With D. Chafaï and P. Wolff, Circular law for random matrices with exchangeable entries, arXiv version
Markov chains
1. With W. Bednorz, Orlicz integrability of additive functionals of Harris ergodic Markov chains. arXiv version2. With W. Bednorz, Exponential Concentration Inequalities for Additive Functionals of Markov Chains, arXiv version
3. With W. Bednorz, Some remarks on MCMC estimation of spectra of integral operators arXiv version
Branching particle systems
1. With P. Miłoś, CLT for Ornstein-Uhlenbeck branching particle system. arXiv version2. With P. Miłoś, U-statistics of Ornstein-Uhlenbeck branching particle system. arXiv version
Geometry of log-concave and related measures
1. 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 version2. 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