Papers by Rafal Latala

Preprints

1. with R.Adamczak, A.Litvak, A.Pajor and N.Tomczak-Jaegermann, Chevet type inequality and norms of submatrices (DVI file 87kB, PS file 380kB, PDF file 217kB)
2. with R.Adamczak, A.Litvak, A.Pajor and N.Tomczak-Jaegermann, Tail estimates for norms of sums of log-concave random vectors (DVI file 201kB, PS file 597kB, PDF file 340kB)
3. Moments of unconditional logarithmically concave vectors (DVI file 63kB, PS file 331kB, PDF file 179kB)
4. Weak and strong moments of random vectors (DVI file 28kB, PS file 236kB, PDF file 135kB)

To appear

1. with R. Adamczak, Tail and moment estimates for chaoses generated by symmetric random variables with logarithmically concave tails (DVI file 195kB, PS file 596kB, PDF file 314kB), to appear in Ann. Inst. Henri Poincaré Probab. Stat.

Published

1. with R.Adamczak, A.Litvak, A.Pajor and N.Tomczak-Jaegermann, Geometry of log-concave Ensembles of random matrices and approximate reconstruction, C. R. Math. Acad. Sci. Paris. 349 (2011), 783-786 (DVI file 27kB, PS file 287kB, PDF file 166kB),
2. Order statistics and concentration of l_r norms for log-concave vectors, J. Funct. Anal. 261 (2011), 681-696 (plik DVI 62kB, plik PS 321kB, plik PDF 182kB)
3. Gaussian approximation of moments of sums of independent symmetric random variables with logarithmically concave tails, IMS Collections 5 (2009), High Dimensional Probability V: The Luminy Volume, 37-42 (DVI file 30kB, PS file 242kB, PDF file 124kB)
4. On weak tail domination of random vectors, Bull. Polish Acad. Sci. Math. 57 (2009), 75-80 (DVI file 24kB, PS file 226kB, PDF file 129kB)
5. with J.O.Wojtaszczyk, On the infimum convolution inequality, Studia Math. 189 (2008), 147-187 (DVI file 175kB, PS file 632kB, PDF file 363kB)
6. with R.Adamczak, The LIL for U-statistics in Hilbert spaces , J. Theoret. Probab. 21 (2008), 704-744, (DVI file 177kB, PS file 628kB, PDF file 356kB)
7. with R.Adamczak, The LIL for canonical U-statistics, Ann. Probab. 36 (2008), 1023-1058 (DVI file 145kB, PS file 552kB, PDF file 318kB)
8. On the boundedness of Bernoulli processes over thin sets, Elect. Comm. in Probab. 13 (2008), 175-186 (DVI file 63kB, PS file 368kB, PDF file 177kB)
9. with W.Bednorz and K.Latuszynski, A regeneration proof of the Central Limit Theorem for uniformly ergodic Markov chains, Elect. Comm. in Probab. 13 (2008), 85-98 (PS file 413kB, PDF file 211kB)
10. with P.Mankiewicz, K.Oleszkiewicz and N.Tomczak-Jaegermann, Banach-Mazur distances and projections on random subgaussian polytopes, Discrete Comput. Geom. 38 (2007), 29-50 (DVI file 111kB, PS file 446kB, PDF file 263kB)
11. Estimates of moments and tails of Gaussian chaoses, Ann. Probab. 34 (2006), 2315-2331 (DVI file 66kB, PS file 384kB, PDF file 214kB)
12. with K. Oleszkiewicz, Small ball probability estimates in terms of width, Studia Math. 169 (2005), 305-314 (DVI file 42kB, PS file 332kB, PDF file 191kB).
13. Some estimates of norms of random matrices, Proc. Amer. Math. Soc. 133 (2005), 1273-1282 (DVI file 46kB, PS file 344kB, PDF file 190kB).
14. Miedzy Poincarem a Sobolewem, Wiadomosci Matematyczne 40 (2004), 67-76 (in Polish) (DVI file 37kB, PS file 302kB, PDF file 173kB).
15. with R. Lochowski, Moment and tail estimates for multidimensional chaoses generated by positive random variables with logarithmically concave tails, Progr. Probab. 56 (2003), 77-92 (DVI file 75kB, PS file 419kB, PDF file 227kB).
16. with S. Kwapien, K. Oleszkiewicz and J. Zinn, On the limit set in the law of the iterated logarithm for $U$-statistics of order two, Progr. Probab. 55 (2003), 111-126 (DVI file 66kB, PS file 403kB, PDF file 224kB).
17. On some inequalities for Gaussiam measures, in: Proceedings of the International Congress of Mathematicians, vol II, 813-822, Higher Education Press, Beijing 2002 (DVI file 40kB, PS file 290kB, PDF file 168kB).
18. with R.Bañuelos and P.Mendez-Hernandez, A Brascamp-Lieb-Luttinger-type inequality and applications to symmetric stable processes, Proc. Amer. Math. Soc. 29 (2001), 2997-3008 (DVI file 50kB, PS file 195kB, PDF file 219kB).
19. with E.Giné, S.Kwapien and J.Zinn, The LIL for canonical U-statistics of order 2, Ann. Probab. 29 (2001), 520-557 (DVI file 152kB, PS file 402kB, PDF file 323kB).
20. with J.Zinn, Necessary and Sufficient Conditions for the Strong Law of Large Numbers for U-statistics, Ann. Probab. 28 (2000), 1908-1924 (DVI file 67kB, PS file 272kB, PDF file 247kB).
21. with K.Oleszkiewicz, Between Sobolev and Poincare , in: Geometric Aspects of Functional Analysis, Israel Seminar (GAFA) 1996-2000, 147-168, Lecture Notes in Math. 1745, Springer Verlag, Berlin 2000 (DVI file 85kB, PS file 274kB, PDF file 275kB).
22. with E.Giné and J.Zinn, Exponential and moment inequalities for U-statistics, in: High Dimensional Probability II, 13-38, Progr. Probab. 47, Birkhauser, Boston 2000 (DVI file 107kB, PS file 290kB, PDF file 275kB).
23. with K.Oleszkiewicz, Gaussian measures of dilatations of convex symmetric sets , Ann. Probab. 27 (1999), 1922-1938 (DVI file 66kB, PS file 223kB, PDF file 240kB).
24. A note on the maximal inequality for VC-classes , in: Advances in stochastic inequalities (Atlanta, GA, 1997), 125-134, Contemp. Math. 234, Amer. Math. Soc., Providence 1999.
25. Tail and moment estimates for some types of chaos , Studia Math. 135 (1999), 39-53.
26. On the equivalence between geometric and arithmetic means for log-concave measures , in: Convex geometric analysis (Berkeley, CA, 1996), 123-127, Math. Sci. Res. Inst. Publ. 34, Cambridge Univ. Press, Cambridge 1999 (DVI file 14kB, PS file 93kB, PDF file 96kB).
27. On the almost sure boundedness of norms of some empirical operators, Statist. Probab. Lett. 38 (1998), 177-182 (DVI file 19kB, PS file 135kB, PDF file 133kB).
28. Sudakov minoration principle and supremum of some processes , Geom. Funct. Anal. 7 (1997), 936-953 (DVI file 66kB, PS file 232kB, PDF file 200kB).
29. Estimation of moments of sums of independent real random variables, Ann. Probab. 25 (1997), 1502-1513 (DVI file 45kB, PS file 193kB, PDF file 179kB).
30. with M. Pycia, On the volume of convex hulls of sets on spheres, Geom. Dedicata 63 (1996), 153-157.
31. Tail and moment estimates for sums of independent random vectors with logarithmically concave tails, Studia Math. 118 (1996), 301-304 (DVI file 16kB, PS file 109kB, PDF file 120kB).
32. A note on the Ehrhard inequality , Studia Math. 118 (1996), 169-174 (DVI file 18kB, PS file 106kB, PDF file 113kB).
33. with S. Kwapien and K. Oleszkiewicz, Comparison of moments of sums of independent random variables and differential inequalities, J. Funct. Anal. 136 (1996), 258-268.
34. with K. Oleszkiewicz, A note on sums of independent uniformly distributed random variables , Colloq. Math. 68 (1995), 197-206.
35. with K. Oleszkiewicz, On the best constant in the Khinchin-Kahane inequality, Studia Math. 109 (1994), 101-104 (DVI file 12kB, PS file 98kB, PDF file 115kB).

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