Publications

Rafał Latała

Number of publications: 66

2021

• Radosław Adamczak , Rafał Latała , Rafał Meller , Moments of Gaussian chaoses in Banach spaces, Electronic Journal of Probability, 26 2021, p. 11:1-36. See in PBN

2020

• Aline Bonami, Piotr Nayar , Tomasz Tkocz, Rafał Latała , Bounds on Moments of Weighted Sums of Finite Riesz Products, Journal of Fourier Analysis and Applications, 26 (6) 2020, p. 84. See in PBN
• Piotr Nayar , Rafał Latała , Hadamard products and moments of random vectors, Advances in Mathematics, 375 2020, p. 107414. See in PBN
• Radosław Adamczak , Rafał Latała , Rafał Meller , Hanson-Wright inequality in Banach spaces, ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 56 (4) 2020, p. 2356-2376. See in PBN

2019

• Rafał Latała , On Z_p-norms of random vectors, Journal of Mathematical Sciences, 238 (4) 2019, p. 484–494. See in PBN

2018

• Rafał Latała , Marta Strzelecka , Comparison of weak and strong moments for vectors with independent coordinates, MATHEMATIKA, 64 (1) 2018, p. 211-229. See in PBN
• Rafał Latała , Pierre Youssef, Ramon van Handel, The dimension-free structure of nonhomogeneous random matrices, Inventiones Mathematicae, 214 (3) 2018, p. 1031–1080. See in PBN

2017

• Rafał Latała , On Z_p-norms of random vectors, 2017. See in PBN
• Rafał Latała , Dariusz Matlak, Royen's proof of the Gaussian correlation inequality, Lecture Notes in Mathematics, 2169 2017, p. 265-275. See in PBN

2016

• Radosław Adamczak , Rafał Latała , Zbigniew Puchała, Karol Życzkowski, Asymptotic entropic uncertainty relations, Journal of Mathematical Physics, 2016. See in PBN
• Rafał Latała , Marta Strzelecka , Weak and strong moments of $\ell_r$-norms of log-concave vectors, Proceedings of the American Mathematical Society, 144 2016, p. 3597-3608. See in PBN

2015

• Rafał Latała , Tomasz Tkocz, A note on suprema of canonical processes based on random variables with regular moments, Electronic Journal of Probability, 2015. See in PBN
• Konrad Kolesko, Rafał Latała , Moment estimates for chaoses generated by symmetric random variables with logarithmically convex tails, Statistics and Probability Letters, 2015. See in PBN
• Ewa Damek, Rafał Latała , Piotr Nayar , Tomasz Tkocz, Two-sided bounds for L_p-norms of combinations of products of independent random variables, Stochastic Processes and their Applications, 2015. See in PBN

2014

• Radosław Adamczak , Rafał Latała , Alexander Litvak, Krzysztof Oleszkiewicz , Alain Pajor, Nicole Tomczak-Jaegermann, A short proof of Paouris' inequality, Canadian Mathematical Bulletin, 2014. See in PBN
• Rafał Latała , Paweł Strzelecki , Dariusz Wrzosek , Piotr Zakrzewski , Andrzej Ruciński, Jacek Świątkowski, European Congress of Mathematics, Kraków, 2-7 July, 2012, 6 European Congress of Mathematics, Kraków, Poland, 2 July 2012 - 7 July 2012. See in PBN
• Rafał Latała , L_1-norm of combinations of products of independent random variables, Israel Journal of Mathematics, 2014. See in PBN
• Rafał Latała , Modified Paouris inequality, 2014. See in PBN
• Witold Bednorz , Rafał Latała , On the boundedness of Bernoulli processes, Annals of Mathematics, 2014. See in PBN
• Rafał Latała , Sudakov-type minoration for log-concave vectors, Studia Mathematica, 2014. See in PBN
• Radosław Adamczak , Rafał Latała , Alexander Litvak, Alain Pajor, Nicole Tomczak-Jaegermann, Tail estimates for norms of sums of log-concave random vectors, Proceedings of the London Mathematical Society, 2014. See in PBN

2013

• Rafał Latała , Maximal inequalities for centered norms of sums of independent random vectors, 2013. See in PBN
• Witold Bednorz , Rafał Latała , On the suprema of Bernoulli processes, Comptes Rendus Mathematique, 2013. See in PBN

2012

• Radosław Adamczak , Rafał Latała , Alexander E. Litvak, Alain Pajor, Nicole Tomczak-Jaegermann, Chevet type inequality and norms of submatrices, Studia Mathematica, 2012. See in PBN
• Radosław Adamczak , Olivier Guedon, Rafał Latała , Alexander E. Litvak, Krzysztof Oleszkiewicz , Alain Pajor, Nicole Tomczak-Jaegermann, Moment estimates for convex measures, Electronic Journal of Probability, 2012. See in PBN
• Rafał Latała , Moments of unconditional logarithmically concave vectors, 2012. See in PBN
• Radosław Adamczak , Rafał Latała , Tail and moment estimates for chaoses generated by symmetric random variables with logarithmically concave tails, ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2012. See in PBN

2011

• Radosław Adamczak , Rafał Latała , Alexander E. Litvak, Alain Pajor, Nicole Tomczak-Jaegermann, Geometry of log-concave ensembles of random matrices and approximate reconstruction, Comptes Rendus Mathematique, 2011. See in PBN
• Rafał Latała , Order statistics and concentration of l_r norms for log-concave vectors, Journal of Functional Analysis, 2011. See in PBN
• Rafał Latała , Weak and strong moments of random vectors, 2011. See in PBN

2010

• Rafał Latała , Gaussian approximation of moments of sums of independent symmetric random variables with logarithmically concave tails, 2010. See in PBN

2009

• Rafał Latała , On weak tail domination of random vectors, Bulletin of the Polish Academy of Sciences. Mathematics, 2009. See in PBN

2008

• Witold Bednorz , Rafał Latała , Krzysztof Łatuszyński, A regeneration proof of the Central Limit Theorem for uniformly ergodic Markov chains, Electronic Communications in Probability, 2008. See in PBN
• Rafał Latała , On the boundedness of Bernoulli processes over thin sets, Electronic Communications in Probability, 2008. See in PBN
• Rafał Latała , Jakub Wojtaszczyk, On the infimum convolution inequality, Studia Mathematica, 2008. See in PBN
• Radosław Adamczak , Rafał Latała , The LIL for canonical U-statistics, Annals of Probability, 2008. See in PBN
• Radosław Adamczak , Rafał Latała , The LIL for U-statistics in Hilbert Spaces, Journal of Theoretical Probability, 2008. See in PBN

2007

• Rafał Latała , Piotr Mankiewicz, Krzysztof Oleszkiewicz , Nicole Tomczak-Jaegermann, Banach-Mazur distances and projections on random subgaussian polytopes, DISCRETE & COMPUTATIONAL GEOMETRY, 2007. See in PBN

2006

• Rafał Latała , Estimates of moments and tails of Gaussian chaoses, Annals of Probability, 2006. See in PBN

2005

• Rafał Latała , Krzysztof Oleszkiewicz , Small ball probability estimates in terms of width, Studia Mathematica, 2005. See in PBN
• Rafał Latała , Some estimates of norms of random matrices, Proceedings of the American Mathematical Society, 2005. See in PBN

2004

• Rafał Latała , Między Poincarem a Sobolewem, Roczniki Polskiego Towarzystwa Matematycznego. Seria 2: Wiadomości Matematyczne, 2004. See in PBN

2003

• Rafał Latała , Rafał Łochowski, Moment and tail estimates for multidimensional chaos generated by positive random variables with logarithmically concave tails, 2003. See in PBN
• Stanisław Kwapień, Rafał Latała , Krzysztof Oleszkiewicz , Joel Zinn, On the limit set in the law of the iterated logarithm for $U$-statistics of order two, 2003. See in PBN

2002

• Rafał Latała , On some inequalities for Gaussian measures, 2002. See in PBN

2001

• Rodrigo Banuelos, Rafał Latała , Pedro J. Mendez-Hernandez, A Brascamp-Lieb-Luttinger -Type Inequality and Applications to Symmetric Stable Processes, Proceedings of the American Mathematical Society, 2001. See in PBN
• E Gine, Stanisław Kwapień, Rafał Latała , J Zinn, The LIL for cannonical U-statistics of order two, Annals of Probability, 2001. See in PBN

2000

• Rafał Latała , Krzysztof Oleszkiewicz , Between Sobolev and Poincaré, Lecture Notes in Mathematics, 2000. See in PBN
• Evarist Gine, Rafał Latała , Joel Zinn, Exponential and moment inequalities for U-statistics, 2000. See in PBN
• Rafał Latała , Joel Zinn, Necessary and Sufficient Conditions for the Strong Law of Large Numbers for U-statistics, Annals of Probability, 2000. See in PBN

1999

• Rafał Latała , A note on the maximal inequalities for VC-classes, Advances in Stochastic Inequalities, 1999. See in PBN
• Rafał Latała , Krzysztof Oleszkiewicz , Gaussian measures of dilatations of convex symmetric sets, Annals of Probability, 1999. See in PBN
• Rafał Latała , On the equivalence between geometric and arithmetic means for log-concave measures, 1999. See in PBN
• Rafał Latała , Tail and moment estimates for some types of chaos, Studia Mathematica, 1999. See in PBN

1998

• Rafał Latała , On the almost sure boundedness of norms of some empirical operators, Statistics and Probability Letters, 1998. See in PBN

1997

• Rafał Latała , Estimation of moments of sums of independent real random variables, Annals of Probability, 1997. See in PBN
• Rafał Latała , Sudakov minoration principle and supremum of some processes, Geometric and Functional Analysis, 1997. See in PBN

1996

• Rafał Latała , A note on the Ehrhard inequality, Studia Mathematica, 1996. See in PBN
• Stanisław Kwapień, Rafał Latała , Krzysztof Oleszkiewicz , Comparison of moments of sums of independent random variables and differential inequalities, Journal of Functional Analysis, 1996. See in PBN
• Rafał Latała , Marek Pycia, On the volume of convex hulls of sets on spheres, Geometriae Dedicata, 1996. See in PBN
• Rafał Latała , Tail and moment estimates for sums of independent random vectors with logarithmically concave tails, Studia Mathematica, 1996. See in PBN

1995

• Rafał Latała , Krzysztof Oleszkiewicz , A note on sums of independent uniformly distributed random variables, Colloquium Mathematicum, 68 (2) 1995, p. 197-206. See in PBN

1994

• Rafał Latała , Krzysztof Oleszkiewicz , On the best constant in the Khinchine-Kahane inequality, Studia Mathematica, 1994. See in PBN

Others

• Rafał Latała , Bounding Suprema of Canonical Processes via Convex Hull, High Dimensional Probability IX: The Ethereal Volume, , p. 325-344. See in PBN
• Rafał Latała , On some problems concerning log-concave random vectors, Convexity and Concentration, , p. 525-539. See in PBN
• Rafał Latała , Marta Strzelecka , Two-Sided Estimates for Order Statistics of Log-Concave Random Vectors, Geometric Aspects of Functional Analysis: Israel Seminar (GAFA) 2017-2019 Volume II, , p. 65-94. See in PBN