High-dimensional limit theorems for random vectors in -balls. II Z Kabluchko, J Prochno, C Thäle
Communications in Contemporary Mathematics 23 (03), 1950073, 2021
40 2021 Random sections of ellipsoids and the power of random information A Hinrichs, D Krieg, E Novak, J Prochno, M Ullrich
Transactions of the American Mathematical Society 374 (12), 8691-8713, 2021
35 2021 The curse of dimensionality for numerical integration on general domains A Hinrichs, J Prochno, M Ullrich
Journal of Complexity 50, 25-42, 2019
33 2019 Large deviations for high-dimensional random projections of lp-balls D Alonso-Gutiérrez, J Prochno, C Thäle
Advances in Applied Mathematics (to appear), 2018
33 * 2018 On the power of random information A Hinrichs, D Krieg, E Novak, J Prochno, M Ullrich
Multivariate Algorithms and information-based complexity 27, 43-64, 2020
29 2020 Sanov-type large deviations in Schatten classes Z Kabluchko, J Prochno, C Thäle
27 2020 Entropy numbers of embeddings of Schatten classes A Hinrichs, J Prochno, J Vybiral
Journal of Functional Analysis 273 (10), 3241-3261, 2017
26 2017 Gaussian fluctuations for high-dimensional random projections of -balls D Alonso-Gutiérrez, J Prochno, C Thäle
25 2019 On the Gaussian behavior of marginals and the mean width of random polytopes D Alonso-Gutiérrez, J Prochno
Proceedings of the American Mathematical Society 143 (2), 821-832, 2015
23 2015 Intersection of unit balls in classical matrix ensembles Z Kabluchko, J Prochno, C Thaele
Israel Journal of Mathematics 239, 129-172, 2020
18 2020 The maximum entropy principle and volumetric properties of Orlicz balls Z Kabluchko, J Prochno
Journal of Mathematical Analysis and Applications 495 (1), 124687, 2021
16 2021 Exact asymptotic volume and volume ratio of Schatten unit balls Z Kabluchko, J Prochno, C Thaele
Journal of Approximation Theory 257, 105457, 2020
15 2020 Geometry of : Classical Results and Recent Developments J Prochno, C Thäle, N Turchi
High Dimensional Probability VIII: The Oaxaca Volume, 121-150, 2019
15 2019 On the geometry of projective tensor products O Giladi, J Prochno, C Schütt, N Tomczak-Jaegermann, E Werner
Journal of Functional Analysis 273 (2), 471-495, 2017
15 2017 Combinatorial inequalities and subspaces of L1 J Prochno, C Schütt
Studia Mathematica 211 (1), 21-39, 2012
15 2012 On the expectation of operator norms of random matrices O Guédon, A Hinrichs, AE Litvak, J Prochno
Geometric Aspects of Functional Analysis, Lecture Notes in Mathematics 2169 …, 2017
14 2017 On the Isotropic Constant of Random Polytopes with Vertices on an -Sphere J Hörrmann, J Prochno, C Thäle
The Journal of Geometric Analysis 28 (1), 405-426, 2018
13 2018 Estimating support functions of random polytopes via Orlicz norms D Alonso-Gutiérrez, J Prochno
Discrete & Computational Geometry 49, 558-588, 2013
13 2013 Faà di Bruno's formula and inversion of power series SGG Johnston, J Prochno
Advances in Mathematics 395, 108080, 2022
11 2022 Random sections of -ellipsoids, optimal recovery and Gelfand numbers of diagonal operators A Hinrichs, J Prochno, M Sonnleitner
arXiv preprint arXiv:2109.14504, 2021
11 2021