My coauthors

With Witold Bednorz

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

2. 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

With Djalil Chafaï

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

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

With Olivier Guédon

1. 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

2. 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

3. With O. Guédon, R. Lata³a, A. Litvak, K. Oleszkiewicz, A. Pajor and N. Tomczak-Jaegermann, Moment estimates for convex measures, Electronic Journal of Probability, Vol. 17, Article 1

With Rafa³ Lata³a

1. With R. Lata³a, The LIL for canonical U-statistics, Ann. Probab. 2008, Vol. 36, No. 3, 1023-1058. arXiv version

2. With R. Lata³a, The LIL for U-statistics in Hilbert spaces, J. Theoret. Probab. 21 (2008), 704-744. arXiv version

3. With R. Lata³a, 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

4. With R. Lata³a, 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

5. With R. Lata³a, A.Litvak, A. Pajor and N. Tomczak-Jaegermann, Chevet type inequality and norms of submatrices (to appear in Studia Mathematica). arXiv version

6. With R. Lata³a, 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

7. With R. Lata³a, A. Litvak, K. Oleszkiewicz, A. Pajor and N. Tomczak-Jaegermann, A Short Proof of Paouris' Inequality To appear in Canadian Mathematical Bulletin, arXiv version

8. With O. Guédon, R. Lata³a, A. Litvak, K. Oleszkiewicz, A. Pajor and N. Tomczak-Jaegermann, Moment estimates for convex measures, Electronic Journal of Probability, Vol. 17, Article 1

With Sasha Litvak

1. 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

2. 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

3. 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

4. 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. With R. Lata³a, 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

7. With R. Lata³a, A. Litvak, A. Pajor and N. Tomczak-Jaegermann, Chevet type inequality and norms of submatrices. Studia Math. 210 (2012), 35-56. arXiv version

8. With R. Lata³a, 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

9. With R. Lata³a, A. Litvak, K. Oleszkiewicz, A. Pajor and N. Tomczak-Jaegermann, A Short Proof of Paouris' Inequality To appear in Canadian Mathematical Bulletin, arXiv version

10. With O. Guédon, R. Lata³a, A. Litvak, K. Oleszkiewicz, A. Pajor and N. Tomczak-Jaegermann, Moment estimates for convex measures, Electronic Journal of Probability, Vol. 17, Article 1

With Piotr Miłoś

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

2. With P. Miłoś, U-statistics of Ornstein-Uhlenbeck branching particle system. arXiv version

With Krzysztof Oleszkiewicz

1. With R. Lata³a, A. Litvak, K. Oleszkiewicz, A. Pajor and N. Tomczak-Jaegermann, A Short Proof of Paouris' Inequality To appear in Canadian Mathematical Bulletin, arXiv version

2. With O. Guédon, R. Lata³a, A. Litvak, K. Oleszkiewicz, A. Pajor and N. Tomczak-Jaegermann, Moment estimates for convex measures, Electronic Journal of Probability, Vol. 17, Article 1

With Alain Pajor

1. 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

2. 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

3. 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

4. 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. With R. Lata³a, 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

7. With R. Lata³a, A. Litvak, A. Pajor and N. Tomczak-Jaegermann, Chevet type inequality and norms of submatrices. Studia Math. 210 (2012), 35-56. arXiv version

8. With R. Lata³a, 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

9. With R. Lata³a, A. Litvak, K. Oleszkiewicz, A. Pajor and N. Tomczak-Jaegermann, A Short Proof of Paouris' Inequality To appear in Canadian Mathematical Bulletin, arXiv version

10. With O. Guédon, R. Lata³a, A. Litvak, K. Oleszkiewicz, A. Pajor and N. Tomczak-Jaegermann, Moment estimates for convex measures, Electronic Journal of Probability, Vol. 17, Article 1

With Nicole Tomczak-Jaegermann

1. 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

2. 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

3. 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

4. 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. With R. Lata³a, 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

7. With R. Lata³a, A. Litvak, A. Pajor and N. Tomczak-Jaegermann, Chevet type inequality and norms of submatrices. Studia Math. 210 (2012), 35-56. arXiv version

8. With R. Lata³a, 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

9. With R. Lata³a, A. Litvak, K. Oleszkiewicz, A. Pajor and N. Tomczak-Jaegermann, A Short Proof of Paouris' Inequality To appear in Canadian Mathematical Bulletin, arXiv version

10. With O. Guédon, R. Lata³a, A. Litvak, K. Oleszkiewicz, A. Pajor and N. Tomczak-Jaegermann, Moment estimates for convex measures, Electronic Journal of Probability, Vol. 17, Article 1

With Pawe³ Wolff

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

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