Publikationen
- Optimality of the Diophantine condition in the law of the iterated logarithm for lacunary systems (with C. Aistleitner, L. Frühwirth)
Preprint (2023) - Maclaurin's inequality through the probabilistic lense (with L. Frühwirth, M. Juhos)
Preprint (2023) - A probabilistic approach to the geometry of Lorentz balls (with Z. Kabluchko, M. Sonnleitner)
Preprint (2023) - Probability on trees and the Jacobian conjecture (with E. Bisi, P. Dyszewski, N. Gantert, S. Johnston, D. Schmid)
Preprint (2023) - Convex body approximation in Hausdorff distance - Polytopes (with C. Schütt, M. Sonnleitner, E. Werner)
Preprint (2023) - Limit theorems for mixed-norm sequence spaces with applications to volume distribution (with M. Juhos, Z. Kabluchko)
Preprint (2022) - Sanov-type large deviations and conditional limit theorems for high-dimensional Orlicz balls (with L. Frühwirth)
Preprint (2022) - The minimal spherical dispersion (with D. Rudolf)
Preprint (2021) - Hölder's inequality and its reverse - a probabilistic point of view (with L. Frühwirth)
Math. Nachr. (2023+) - Norms of structured random matrices (with R. Adamczak, M. Strzelecka, M. Strzelecki)
Math. Ann. (2023+) - Random sections of lp-ellipsoids, optimal recovery and Gelfand numbers of diagonal operators (with A. Hinrichs, M. Sonnleitner)
J. Approx. Theory (2023+) - Large deviations for random matrices in the orthogonal group and Stiefel manifold with applications to random projections of product distributions (with Z. Kabluchko)
Ann. Inst. H. Poincaré Probab. Statist. (2022+) - Large deviations for lacunary sums (with C. Aistleitner, N. Gantert, Z. Kabluchko, K. Ramanan)
Trans. Am. Math. Soc. (2022+) - A Maxwell principle for generalized Orlicz balls (with S. Johnston)
Ann. Inst. H. Poincaré Probab. Statist. (2022+) - The large deviation behavior of lacunary sums (with L. Frühwirth, M. Juhos)
Monatsh. Math. 199(1), 113-133 (2022) - Berry-Esseen bounds for random projections of lpn-balls (with S. Johnston)
Studia Math. 266(3), 291-322 (2022) - Limit theorems for random points in a simplex (with A. Baci, Z. Kabluchko, M. Sonnleitner, C. Thäle)
J. Appl. Probab. 59(3), 685-701 (2022) - Best and random approximation of a convex body by a polytope (with C. Schütt, E. Werner)
J. Complexity 71, 1-19 (2022) - Spectral flatness and the volume of intersections of p-ellipsoids (with M. Juhos)
J. Complexity 70, 101617 (2022) - Projections of the uniform distribution on the cube - a large deviation perspective (with Z. Kabluchko, S. Johnston)
Studia Math. 264(1), 103-119 (2022) - Sharp concentration for the largest and smallest fragment in a k-regular self-similar fragmentation (with P. Dyszewski, N. Gantert, S. Johnston, D. Schmid)
Ann. Probab. 50(3), 1173-1203 (2022) - Approximation, Gelfand, and Kolmogorov numbers of Schatten class embeddings (with M. Strzelecki)
J. Approx. Theory 277, 1-33 (2022) - A probabilistic way to discover the rainbow (with M. Schmitz)
Math. Gaz 106(565), 103-115 (2022) - Faà di Bruno's formula and inversion of power series (with S. Johnston)
Adv. Math. 395, 1-48 (2022) - Thin-shell theory for rotationally invariant random simplices (with J. Heiny, S. Johnston)
Electron. J. Probab. 27, 1-41 (2022) - Thin-shell concentration for random vectors in Orlicz balls via moderate deviations and Gibbs measures (with D. Alonso-Gutiérrez)
J. Funct. Anal. 282(1), 1-35 (2022) - Random sections of ellipsoids and the power of random information (with A. Hinrichs, D. Krieg, E. Novak, M. Ullrich)
Trans. Am. Math. Soc. 374(12), 8691-8713 (2021) - Gelfand numbers of embeddings of Schatten classes (with A. Hinrichs, J. Vybíral)
Math. Ann. 380(3-4), 1563-1593 (2021) - A new look at random projections of the cube and general product measures (with Z. Kabluchko, C. Thäle)
Bernoulli 27(3), 2117-2138 (2021) - The maximum entropy principle and volumetric properties of Orlicz balls (with Z. Kabluchko)
J. Math. Anal. Appl. 495(1), 1-19 (2021) - High-dimensional limit theorems for random vectors in lpn-balls. II (with Z. Kabluchko, C. Thäle)
Commun. Contemp. Math. 23(3), 1-35 (2021) - Large deviations, moderate deviations, and the KLS conjecture (with D. Alonso-Gutiérrez, C. Thäle)
J. Funct. Anal. 280(1), 1-33 (2021) - Statistical independence in Mathematics - the key to a Gaussian law (with G. Leobacher)
Math. Semesterberichte 68(1), 69–104 (2021) - Intersections of unit balls in classical matrix ensembles (with Z. Kabluchko, C. Thäle)
Israel J. Math. 239(1), 129-172 (2020) - Tractability properties of the discrepancy in Orlicz norms (with J. Dick, A. Hinrichs, F. Pillichshammer)
J. Complexity 61, 1-9 (2020) - On the power of random information (with A. Hinrichs, D. Krieg, E. Novak, M. Ullrich)
Multivariate Algorithms and Information-based Complexity, Radon Series 27, 43-64 (2020) - Exact asymptotic volume and volume ratio of Schatten unit balls (with Z. Kabluchko, C. Thäle)
J. Approx. Theory 257, 1-13 (2020) - Embeddings of Orlicz-Lorentz spaces into L1
Algebra i Analyz 32(1), 78-93 (2020) - Sanov-type large deviations in Schatten classes (with Z. Kabluchko, C. Thäle)
Ann. Inst. H. Poincaré Probab. Statist. 56(2), 928-953 (2020) - Yet another remark on the arithmetic-geometric mean inequality (with Z. Kabluchko, V. Vysotskiy)
Studia Math. 253(1), 39-55 (2020) - Irrationality in school (with G. Leobacher)
Unpublished preprint (2020) - Curse of dimensionality for numerical integration on general domains (with A. Hinrichs, M. Ullrich)
J. Complexity 50, 25-42 (2019) - Gaussian fluctuations for high-dimensional random projections of lpn-balls (with D. Alonso-Gutiérrez, C. Thäle)
Bernoulli 25(4a), 3139-3174 (2019) - On the minimal k-dispersion of point sets in high dimensions (with A. Hinrichs, M. Ullrich, J. Vybíral)
J. Complexity 51, 68-78 (2019) - Phenomena in High-Dimensions (with C. Thäle, B.-H. Vritsiou)
Snapshots of Modern Mathematics (2019) - Geometry of lpn-balls: classical results & recent developments (with C. Thäle, N. Turchi)
High Dimensional Probability VIII, Progress in Probability, Birkhäuser (2019+) - The isotropic constant of random polytopes on surfaces of convex bodies (with C. Thäle, N. Turchi)
J. Complexity 54, 1-17 (2019) - On almost everywhere convergence of tensor product spline projections (with M. Passenbrunner)
Mich. Math. J. 68(1), 3-17 (2019) - High-dimensional limit theorems for random vectors in lpn-balls (with Z. Kabluchko, C. Thäle)
Commun. Contemp. Math. 21(1), 1-30 (2019) - Large deviations for high-dimensional random projections of lpn-balls (with D. Alonso-Gutiérrez, C. Thäle)
Adv. Appl. Math. 99, 1-35 (2018) - The isotropic constant of random polytopes with vertices on an lp-sphere (with J. Hörrmann, C. Thäle)
J. Geom. Anal. 28(1), 405-426 (2018) - Entropy numbers of embeddings of Schatten classes (with A. Hinrichs, J. Vybíral)
J. Funct. Anal. 273(10), 3241-3261 (2017) - Estimating averages of order statistics of bivariate functions (with R. Lechner, M. Passenbrunner)
J. Theor. Probab. 30(4), 1445-1470 (2017) - The geometry of random convex sets between polytopes and zonotopes (with D. Alonso-Gutiérrez)
J. Math. Anal. Appl. 450(1), 670-690 (2017) - On the geometry of projective tensor products (with O. Giladi, C. Schütt, N. Tomczak-Jaegermann, E. Werner)
J. Funct. Anal. 273(2), 471-495 (2017) - On the expectation of operator norms of random matrices (with O. Guédon, A. Hinrichs, A. E. Litvak)
GAFA Lecture Notes in Math. 2169, 151-162 (2017) - Mean width of random perturbations of random polytopes (with Alonso-Gutiérrez)
Adv. Geom. 17(1), 75-90 (2017) - Probabilistic estimates for tensor products of random vectors (with D. Alonso-Gutiérrez, M. Passenbrunner)
Proc. Amer. Math. Soc. 144(5), 2133-2148 (2016) - Uniform estimates for averages of order statistics of matrices (with R. Lechner, M. Passenbrunner)
Electron. Commun. Probab. 20(4), 1-12 (2015) - On the gaussian behavior of marginals and the mean width of random polytopes (with D. Alonso-Gutiérrez)
Proc. Amer. Math. Soc. 143(2), 821-832 (2015) - Musielak-Orlicz spaces that are isomorphic to subspaces of L1
Ann. Funct. Anal. 6(1), 84-94 (2015) - On mean outer radii of random polytopes (with D. Alonso-Gutiérrez, N. Dafnis, M. A. Hernandez Cifre)
Indiana Univ. Math. J. 63(2), 579-595 (2014) - On the distribution of random variables corresponding to Musielak-Orlicz norms (with D. Alonso-Gutiérrez, S. Christensen, M. Passenbrunner)
Studia Math. 219(3), 269-287 (2013) - Estimating support functions of random polytopes via Orlicz norms (with D. Alonso-Gutiérrez)
Discret. Comput. Geom. 49(3), 558-588 (2013) - A combinatorial approach to Musielak-Orlicz spaces
Banach J. Math. Anal. 7(1), 132-141 (2013) - On the maximum of random variables on product spaces (with S. Riemer)
Houst. J. Math. 39(4), 1301-1311 (2013) - Ein erstaunliches Schnur-Orakel (with M. Schmitz),
Stochastik in der Schule 33(1), 2-7 (2013) - Combinatorial inequalities and subspaces of L1 (with C. Schütt)
Studia Math. 211(1), 21-39 (2012) - Subspaces of L1 and Combinatorial Inequalities in Banach Space Theory
Doctoral thesis (Kiel, 2011)