Lista Publikacji Rafała Latały

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Preprinty

  1. z M.Strzelecką, Operator l_p to l_q norms of random matrices with iid entries, [pdf]
  2. z M.Strzelecką, Chevet-type inequalities for subexponential Weibull variables and estimates for norms of random matrices, [pdf]

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  1. Bounding suprema of canonical processes via convex hull, w High Dimensional Probability IX, The Ethereal Volume, Prog. Probab. 80, 325-344, Birkhäuser, Cham 2023, doi:10.1007/978-3-031-26979-0_13. [pdf]
  2. z W. Świątkowskim, Norms of Randomized Circulant Matrices, Electron. J. Probab. 27 (2022), no. 80, 1-23 doi:10.1214/22-EJP799, MR4441144. [pdf]
  3. z R. Adamczakiem i R. Mellerem, Moments of Gaussian chaoses in Banach spaces, Electron. J. Probab. 26 (2021), no. 11, 1-36, doi:10.1214/20-EJP567, MR4216524. [pdf]
  4. z A. Bonami, P. Nayarem i T. Tkoczem, Bounds on moments of weighted sums of finite Riesz products, J. Fourier Anal. Appl. 26 (2020), no. 6, 84, 31pp. doi:10.1007/s00041-020-09800-3, MR4175530. [pdf]
  5. z P. Nayarem, Hadamard products and moments of random vectors, Adv. Math. 375 (2020), 107414, 10pp, doi:10.1016/j.aim.2020.107414, MR4170230. [pdf]
  6. z R. Adamczakiem i R. Mellerem, Hanson-Wright inequality in Banach Spaces, Ann. Inst. Henri Poincaré Probab. Stat. 56 (2020), 2356-2376, doi:10.1214/19-AIHP1041, MR4164840. [pdf]
  7. z M. Strzelecką, Two-sided estimates for order statistics of log-concave random vectors, Geometric Aspects of Functional Analysis: Israel Seminar (GAFA) 2017-2019 Volume II, 65-94, Lecture Notes in Math. 2266, Springer 2020, doi:10.1007/978-3-030-46762-3_3, MR4175758. [pdf]
  8. z R. van Handelem i P. Youssefem, The dimension-free structure of nonhomogeneous random matrices, Invent. Math. 214 (2018), 1031-1080, doi:10.1007/s00222-018-0817-x, MR3878726. [pdf]
  9. z M. Strzelecką, Comparison of weak and strong moments for vectors with independent coordinates, Mathematika 64 (2018), 211-229, doi:10.1112/S0025579317000432, MR3778221. [pdf]
  10. On Z_p-norms of random vectors, Zapiski Nauchnyh Seminarov POMI, 457 (2017), 211-225, przedrukowane w J. Math. Sci. (N.Y.) 238 (2019), 484-494 doi:10.1007/s10958-019-04252-7, MR3723583. [pdf]
  11. On some problems concerning log-concave random vectors, Convexity and Concentration, 525-539, The IMA Volumes in Mathematics and its Applications 161, Springer 2017, doi:10.1007/978-1-4939-7005-6_16, MR3837281. [pdf]
  12. z D. Matlakiem, Royen's proof of the Gaussian correlation inequality, Geometric Aspects of Functional Analysis, Israel Seminar (GAFA) 2014-2016, 265-275, Lecture Notes in Math. 2169, Springer 2017, doi:10.1007/978-3-319-45282-1_17, MR3645127. [pdf]
  13. z M. Strzelecką, Weak and strong moments of l_r-norms of log-concave vectors, Proc. Amer. Math. Soc. 144 (2016), 3597-3608, doi:10.1090/proc/13003, MR3503729. [pdf]
  14. z R. Adamczakiem, Z. Puchałą i K. Życzkowskim, Asymptotic entropic uncertainty relations, J. Math. Phys. 57 (2016), 032204, 24 pp. doi:10.1063/1.4944425, MR3478525. [pdf]
  15. z K. Kolesko, Moment estimates for chaoses generated by symmetric random variables with logarithmically convex tails, Statist. Probab. Lett. 107 (2015), 210-214, doi:10.1016/j.spl.2015.08.019, MR3412778. [pdf]
  16. z T. Tkoczem, A note on suprema of canonical processes based on random variables with regular moments, Electron. J. Probab. 20 (2015), no. 36, 1-17. doi:10.1214/EJP.v20-3625, MR3335827. [pdf]
  17. z E. Damek, P. Nayarem i T. Tkoczem, Two-sided bounds for L_p-norms of combinations of products of independent random variables, Stochastic Process. Appl. 125 (2015), 1688-1713, doi:10.1016/j.spa.2014.11.012, MR3310361. [pdf]
  18. z W. Bednorzem, On the boundedness of Bernoulli processes, Ann.of Math. (2) 180 (2014), 1167-1203, doi:10.4007/annals.2014.180.3.8, MR3245015. [pdf]
  19. Sudakov-type minoration for log-concave vectors, Studia Math. 223 (2014), 251-274, doi:10.4064/sm223-3-5, MR3274967. [pdf]
  20. L_1-norm of combinations of products of independent random variables, Israel J. Math. 203 (2014), 295-308 doi:10.1007/s11856-014-1076-1, MR3273442. [pdf ]
  21. Modified Paouris inequality, w Geometric Aspects of Functional Analysis, Israel Seminar 2011-2013, 293-307, Lecture Notes in Math. 2116, Springer 2014, doi:10.1007/978-3-319-09477-9_19, MR3364693. [pdf]
  22. z R. Adamczakiem, A. Litvakiem, A. Pajorem i N. Tomczak-Jaegermann, Tail estimates for norms of sums of log-concave random vectors, Proc. London Math. Soc. 108 (2014), 600-637, doi:10.1112/plms/pdt031, MR3180591. [pdf]
  23. z R. Adamczakiem, A. Litvakiem, K. Oleszkiewiczem, A. Pajorem i N. Tomczak-Jaegermann, A short proof of Paouris' inequality, Can. Math. Bull. 57 (2014), 3-8, doi:10.4153/CMB-2012-014-5, MR3150710. [pdf]
  24. Maximal inequalities for centered norms of sums of independent random vectors, w High Dimensional Probability VI, The Banff Volume, Progr. Probab. 66, 63-71, Birkhauser 2013, doi:10.1007/978-3-0348-0490-5_4, MR3443492. [pdf]
  25. z W. Bednorzem, On the suprema of Bernoulli processes, C. R. Math. Acad. Sci. Paris 351 (2013), 131-134, doi:10.1016/j.crma.2013.02.013, MR3038002. [pdf]
  26. z R. Adamczakiem, O. Guédonem, A. Litvakiem, K. Oleszkiewiczem, A. Pajorem i N. Tomczak-Jaegermann, Moment estimates for convex measures , Electron. J. Probab. 17 (2012),no. 101, 1-19, doi:10.1214/EJP.v17-2150, MR3005719. [pdf]
  27. z R. Adamczakiem, Tail and moment estimates for chaoses generated by symmetric random variables with logarithmically concave tails, Ann. Inst. Henri Poincaré Probab. Stat. 48 (2012), 1103-1136, doi:10.1214/11-AIHP441, MR3052405. [pdf]
  28. z R. Adamczakiem, A. Litvakiem, A. Pajorem i N. Tomczak-Jaegermann, Chevet type inequality and norms of submatrices, Studia Math. 210 (2012), 35-56, doi:10.4064/sm210-1-3, MR2949869. [pdf]
  29. Moments of unconditional logarithmically concave vectors, w Geometric Aspects of Functional Analysis, Israel Seminar 2006-2010, 301-315, Lecture Notes in Math. 2050, Springer 2012, doi:10.1007/978-3-642-29849-3_17, MR2985299. [pdf]
  30. Weak and strong moments of random vectors, Marcinkiewicz Centenary Volume, Banach Center Publ. 95 (2011), 115-121, doi:10.4064/bc95-0-8, MR2918093. [pdf]
  31. z R. Adamczakiem, A. Litvakiem, A. Pajorem i N.Tomczak-Jaegermann, Geometry of log-concave Ensembles of random matrices and approximate reconstruction, C. R. Math. Acad. Sci. Paris. 349 (2011), 783-786, doi:10.1016/j.crma.2011.06.025, MR2825941. [pdf]
  32. Order statistics and concentration of l_r norms for log-concave vectors, J. Funct. Anal. 261 (2011), 681-696, doi:10.1016/j.jfa.2011.02.013, MR2799576. [pdf]
  33. 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, doi:10.1214/09-IMSCOLL503, MR2797938. [pdf]
  34. On weak tail domination of random vectors, Bull. Polish Acad. Sci. Math. 57 (2009), 75-80, doi:10.4064/ba57-1-8, MR2520452. [pdf]
  35. z J.O. Wojtaszczykiem, On the infimum convolution inequality, Studia Math.189 (2008), 147-187, doi:10.4064/sm189-2-5, MR2449135. [pdf]
  36. z R. Adamczakiem, The LIL for U-statistics in Hilbert spaces , J. Theoret. Probab. 21 (2008), 704-744, doi:10.1007/s10959-007-0134-6, MR2425366. [pdf]
  37. z R. Adamczakiem, The LIL for canonical U-statistics, Ann. Probab. 36 (2008), 1023-1058, doi:10.1214/07-AOP351, MR2408582. [pdf]
  38. On the boundedness of Bernoulli processes over thin sets, Elect. Comm. in Probab. 13 (2008), 175-186, doi:10.1214/ECP.v13-1362, MR2399279. [pdf]
  39. z W. Bednorzem i K. Łatuszyńskim, A regeneration proof of the Central Limit Theorem for uniformly ergodic Markov chains, Elect. Comm. in Probab. 13 (2008), 85-98, doi:10.1214/ECP.v13-1354, MR2386065. [pdf]
  40. z P. Mankiewiczem, K. Oleszkiewiczem i N. Tomczak-Jaegermann, Banach-Mazur distances and projections on random subgaussian polytopes, Discrete Comput. Geom. 38 (2007), 29-50, doi:10.1007/s00454-007-1326-7, MR2322114. [pdf]
  41. Estimates of moments and tails of Gaussian chaoses, Ann. Probab. 34 (2006), 2315-2331, doi:10.1214/009117906000000421, MR2294983. [pdf]
  42. z K. Oleszkiewiczem, Small ball probability estimates in terms of width, Studia Math. 169 (2005), 305-314, doi:10.4064/sm169-3-6, MR2140804. [pdf]
  43. Some estimates of norms of random matrices, Proc. Amer. Math. Soc. 133 (2005), 1273-1282, doi:10.1090/S0002-9939-04-07800-1, MR2111932. [pdf]
  44. Między Poincarém a Sobolewem, Wiadomości Matematyczne 40 (2004), 67-76, MR2337174. [pdf]
  45. z R. Łochowskim, Moment and tail estimates for multidimensional chaoses generated by positive random variables with logarithmically concave tails, Progr. Probab. 56 (2003), 77-92, doi:10.1007/978-3-0348-8069-5_7, MR2073428. [pdf]
  46. z S. Kwapieniem, K. Oleszkiewiczem i J. Zinnem, On the limit set in the law of the iterated logarithm for $U$-statistics of order two, Progr. Probab. 55 (2003), 111-126, doi:10.1007/978-3-0348-8059-6_7, MR2033884. [pdf]
  47. On some inequalities for Gaussian measures, w Proceedings of the International Congress of Mathematicians, vol II, 813-822, Higher Education Press, Beijing 2002, MR1957087. [pdf]
  48. z R.Bañuelosem i P.Mendez-Hernandez, A Brascamp-Lieb-Luttinger-type inequality and applications to symmetric stable processes, Proc. Amer. Math. Soc. 29 (2001), 2997-3008, doi:10.1090/S0002-9939-01-06137-8, MR1840105. [pdf]
  49. z E.Giné, S.Kwapieniem i J.Zinnem, The LIL for canonical U-statistics of order 2, Ann. Probab. 29 (2001), 520-557, doi:10.1214/aop/1008956343, MR1825163. [pdf]
  50. z J.Zinnem, Necessary and Sufficient Conditions for the Strong Law of Large Numbers for U-statistics, Ann. Probab. 28 (2000), 1908-1924, doi:10.1214/aop/1019160513, MR1813848. [pdf]
  51. z K.Oleszkiewiczem, Between Sobolev and Poincare , w Geometric Aspects of Functional Analysis, Israel Seminar (GAFA) 1996-2000, 147-168, Lecture Notes in Math. 1745, Springer Verlag, Berlin 2000, doi:10.1007/BFb0107213, MR1796718. [pdf]
  52. z E.Giné i J.Zinnem, Exponential and moment inequalities for U-statistics, w High Dimensional Probability II, 13-38, Progr. Probab. 47, Birkhauser, Boston 2000, doi:10.1007/978-1-4612-1358-1_2, MR1857312. [pdf]
  53. z K.Oleszkiewiczem, Gaussian measures of dilatations of convex symmetric sets , Ann. Probab. 27 (1999), 1922-1938, doi:10.1214/aop/1022874821, MR1742894. [pdf]
  54. A note on the maximal inequalities for VC-classes w Advances in stochastic inequalities (Atlanta, GA, 1997), 125-134, Contemp. Math. 234, Amer. Math. Soc., Providence 1999, doi:10.1090/conm/234/03450, MR1694768. [pdf]
  55. Tail and moment estimates for some types of chaos Studia Math. 135 (1999), 39-53, MR1686370. [pdf]
  56. On the almost sure boundedness of norms of some empirical operators Statist. Probab. Lett. 38 (1998), 177-182, doi:10.1016/S0167-7152(98)00002-9, MR1627869. [pdf]
  57. Sudakov minoration principle and supremum of some processes , Geom.Funct.Anal. 7 (1997), 936-953, doi:10.1007/s000390050031, MR1475551 [pdf]
  58. On the equivalence between geometric and arithmetic means for log-concave measures w Convex geometric analysis (Berkeley, CA, 1996), 123-127, Math. Sci. Res. Inst. Publ. 34, Cambridge Univ. Press, Cambridge 1999, MR1665584. [pdf]
  59. Estimation of moments of sums of independent real random variables, Ann. Probab. 25 (1997), 1502-1513, doi:10.1214/aop/1024404522, MR1457628. [pdf]
  60. z M. Pycią, On the volume of convex hulls of sets on spheres, Geom. Dedicata 63 (1996), 153-157, doi:10.1007/BF00148215, MR1413627.
  61. Tail and moment estimates for sums of independent random vectors with logarithmically concave tails, Studia Math. 118 (1996), 301-304, MR1388035. [pdf]
  62. A note on the Ehrhard inequality , Studia Math. 118 (1996), 169-174, MR1389763. [pdf]
  63. z S. Kwapieniem i K. Oleszkiewiczem, Comparison of moments of sums of independent random variables and differential inequalities, J. Funct. Anal. 136 (1996), 258-268, doi:10.1006/jfan.1996.0030, MR1375162.
  64. z K. Oleszkiewiczem, A note on sums of independent uniformly distributed random variables , Colloq. Math. 68 (1995), 197-206, doi:10.4064/cm-68-2-197-206, MR1321042. [pdf]
  65. z K. Oleszkiewiczem, On the best constant in the Khinchin-Kahane inequality, Studia Math. 109 (1994), 101-104, MR1267715. [pdf]
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