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Lehrstuhl für Funktionalanalysis

Publikationen

  1. Limit theorems for the volume of random projections and sections of lp-balls (with C. Thäle, P. Tuchel)
    Preprint (2024)
  2. The macroscopic shape of Gelfand-Tsetlin patterns and free probability (with S. Johnston)
    Preprint (2024)
  3. The largest fragment in self-similar fragmentation processes of positive index (with P. Dyszewski, S. Johnston, S. Palau)
    Preprint (2024)
  4. Tail phenomena for lacunary systems (with C. Aistleitner, L. Frühwirth)
    Preprint (2024)
  5. Asymptotic theory of Schatten classes (with M. Juhos, Z. Kabluchko)
    Preprint (2024)
  6. Sharp concentration phenomena in high-dimensional Orlicz balls (with L. Frühwirth)
    Preprint (2024) 
  7. Moderate deviation principles and Mod-Gaussian convergence for lacunary trigonometric sums (with M. Strzelecka)
    Preprint (2023)
  8. Random planar trees and the Jacobian conjecture (with E. Bisi, P. Dyszewski, N. Gantert, S. Johnston, D. Schmid)
    Preprint (2023)
  9. Random approximation of convex bodies in Hausdorff distance (with C. Schütt, M. Sonnleitner, E. Werner)
    Math. Ann. (2025+)
  10. Entropy numbers of finite-dimensional Lorentz space embeddings (with M. Sonnleitner, J. Vybíral)
    Studia Math. (2024+)
  11. Diophantine conditions in the law of the iterated logarithm for lacunary systems (with C. Aistleitner, L. Frühwirth)
    Probab. Theory Related Fields (2024+)
  12. A probabilistic approach to Lorentz balls (with Z. Kabluchko, M. Sonnleitner)
    J. Funct. Anal. 288(1), Paper No. 110682 (2025)  
  13. Talagrand's mathematical journey to the Abel Prize 2024 (with O. Guédon)
    Internat. Math. Nachrichten 256, 59-74 (2024)
  14. Limit theorems for mixed-norm sequence spaces with applications to volume distribution (with M. Juhos, Z. Kabluchko)
    Electron. J. Probab. 29, 1-44 (2024) 
  15. The large and moderate deviations approach in geometric functional analysis
    High Dimensional Probability VIII, Progress in Probability, Birkhäuser (2024+)
  16. 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. 60(2), 990-1024 (2024)  
  17. Maclaurin's inequality through the probabilistic lens (with L. Frühwirth, M. Juhos)
    Electron. J. Probab. 29, 1-33 (2024) 
  18. Norms of structured random matrices (with R. Adamczak, M. Strzelecka, M. Strzelecki)
    Math. Ann. 388(4), 3463-3527 (2024)  
  19. Sanov-type large deviations and conditional limit theorems for high-dimensional Orlicz balls (with L. Frühwirth)
    J. Math. Anal. Appl. 536(1),1-25 (2024)
  20. The minimal spherical dispersion (with D. Rudolf)
    J. Geom. Anal. 34(3), 1-14 (2024) 
  21. Large deviations for lacunary sums (with C. Aistleitner, N. Gantert, Z. Kabluchko, K. Ramanan)
    Trans. Am. Math. Soc. 376(1), 507-553 (2023)
  22. Hölder's inequality and its reverse - a probabilistic point of view (with L. Frühwirth)
    Math. Nachr. 296(12), 5493-5512 (2023)
  23. Random sections of lp-ellipsoids, optimal recovery and Gelfand numbers of diagonal operators (with A. Hinrichs, M. Sonnleitner)
    J. Approx. Theory 293, 1-19 (2023)
  24. A Maxwell principle for generalized Orlicz balls (with S. Johnston)
    Ann. Inst. H. Poincaré Probab. Statist. 59(3), 1223-1247 (2023)
  25. The large deviation behavior of lacunary sums (with L. Frühwirth, M. Juhos)
    Monatsh. Math. 199(1), 113-133 (2022)
  26. Berry-Esseen bounds for random projections of lpn-balls (with S. Johnston)
    Studia Math. 266(3), 291-322 (2022)
  27. 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) 
  28. Best and random approximation of a convex body by a polytope (with C. Schütt, E. Werner)
    J. Complexity 71, 1-19 (2022)
  29. Projections of the uniform distribution on the cube - a large deviation perspective (with Z. Kabluchko, S. Johnston)
    Studia Math. 264(1), 103-119 (2022)
  30. Spectral flatness and the volume of intersections of p-ellipsoids (with M. Juhos)
    J. Complexity 70, 101617 (2022)
  31. 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)
  32. Approximation, Gelfand, and Kolmogorov numbers of Schatten class embeddings (with M. Strzelecki)
    J. Approx. Theory 277, 1-33 (2022)
  33. A probabilistic way to discover the rainbow (with M. Schmitz)
    Math. Gaz 106(565), 103-115 (2022)
  34. Faà di Bruno's formula and inversion of power series (with S. Johnston)
    Adv. Math. 395, 1-48 (2022)
  35. Thin-shell theory for rotationally invariant random simplices (with J. Heiny, S. Johnston)
    Electron. J. Probab. 27, 1-41 (2022)
  36. 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)
  37. 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)
  38. Gelfand numbers of embeddings of Schatten classes (with A. Hinrichs, J. Vybíral)
    Math. Ann. 380(3-4), 1563-1593 (2021)
  39. A new look at random projections of the cube and general product measures (with Z. Kabluchko, C. Thäle)
    Bernoulli 27(3), 2117-2138 (2021)
  40. The maximum entropy principle and volumetric properties of Orlicz balls (with Z. Kabluchko)
    J. Math. Anal. Appl. 495(1), 1-19 (2021)
  41. High-dimensional limit theorems for random vectors in lpn-balls. II (with Z. Kabluchko, C. Thäle)
    Commun. Contemp. Math. 23(3), 1-35 (2021)
  42. Large deviations, moderate deviations, and the KLS conjecture  (with D. Alonso-Gutiérrez, C. Thäle)
    J. Funct. Anal. 280(1), 1-33 (2021)
  43. Statistical independence in Mathematics - the key to a Gaussian law (with G. Leobacher)
    Math. Semesterberichte 68(1), 69–104 (2021)
  44. Intersections of unit balls in classical matrix ensembles (with Z. Kabluchko, C. Thäle)
    Israel J. Math. 239(1), 129-172 (2020)
  45. Tractability properties of the discrepancy in Orlicz norms (with J. Dick, A. Hinrichs, F. Pillichshammer)
    J. Complexity 61, 1-9 (2020)
  46. 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)
  47. Exact asymptotic volume and volume ratio of Schatten unit balls (with Z. Kabluchko, C. Thäle)
    J. Approx. Theory 257, 1-13 (2020)
  48. Embeddings of Orlicz-Lorentz spaces into L1
    Algebra i Analyz 32(1), 78-93 (2020)
  49. Sanov-type large deviations in Schatten classes (with Z. Kabluchko, C. Thäle)
    Ann. Inst. H. Poincaré Probab. Statist. 56(2), 928-953 (2020)
  50. Yet another remark on the arithmetic-geometric mean inequality (with Z. Kabluchko, V. Vysotskiy)
    Studia Math. 253(1), 39-55 (2020)
  51. Irrationality in school (with G. Leobacher)
    Unpublished preprint (2020)
  52. Curse of dimensionality for numerical integration on general domains (with A. Hinrichs, M. Ullrich)
    J. Complexity 50, 25-42 (2019)
  53. Gaussian fluctuations for high-dimensional random projections of lpn-balls (with D. Alonso-Gutiérrez, C. Thäle)
    Bernoulli 25(4a), 3139-3174 (2019)
  54. On the minimal k-dispersion of point sets in high dimensions (with A. Hinrichs, M. Ullrich, J. Vybíral)
    J. Complexity 51, 68-78 (2019)
  55. Phenomena in High-Dimensions (with C. Thäle, B.-H. Vritsiou)
    Snapshots of Modern Mathematics (2019)
  56. Geometry of lpn-balls: classical results & recent developments (with C. Thäle, N. Turchi)
    High Dimensional Probability VIII, Progress in Probability, Birkhäuser (2019)
  57. The isotropic constant of random polytopes on surfaces of convex bodies (with C. Thäle, N. Turchi)
    J. Complexity 54, 1-17 (2019)
  58. On almost everywhere convergence of tensor product spline projections (with M. Passenbrunner)
    Mich. Math. J. 68(1), 3-17 (2019)
  59. High-dimensional limit theorems for random vectors in lpn-balls (with Z. Kabluchko, C. Thäle)
    Commun. Contemp. Math. 21(1), 1-30 (2019)
  60. Large deviations for high-dimensional random projections of lpn-balls (with D. Alonso-Gutiérrez, C. Thäle)
    Adv. Appl. Math. 99, 1-35 (2018)
  61. 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)
  62. Entropy numbers of embeddings of Schatten classes  (with A. Hinrichs, J. Vybíral)
    J. Funct. Anal. 273(10), 3241-3261 (2017)
  63. Estimating averages of order statistics of bivariate functions (with R. Lechner, M. Passenbrunner)
    J. Theor. Probab. 30(4), 1445-1470 (2017)
  64. The geometry of random convex sets between polytopes and zonotopes (with D. Alonso-Gutiérrez)
    J. Math. Anal. Appl. 450(1), 670-690 (2017)
  65. 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)
  66. 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)
  67. Mean width of random perturbations of random polytopes (with Alonso-Gutiérrez)
    Adv. Geom. 17(1), 75-90 (2017)
  68. Probabilistic estimates for tensor products of random vectors (with D. Alonso-Gutiérrez, M. Passenbrunner)
    Proc. Amer. Math. Soc. 144(5), 2133-2148 (2016)
  69. Uniform estimates for averages of order statistics of matrices (with R. Lechner, M. Passenbrunner)
    Electron. Commun. Probab. 20(4), 1-12 (2015)
  70. 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)
  71. Musielak-Orlicz spaces that are isomorphic to subspaces of L1
    Ann. Funct. Anal. 6(1), 84-94 (2015)
  72. 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)
  73. 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)
  74. Estimating support functions of random polytopes via Orlicz norms (with D. Alonso-Gutiérrez)
    Discret. Comput. Geom. 49(3), 558-588 (2013)
  75. A combinatorial approach to Musielak-Orlicz spaces
    Banach J. Math. Anal. 7(1), 132-141 (2013)
  76. On the maximum of random variables on product spaces (with S. Riemer)
    Houst. J. Math. 39(4), 1301-1311 (2013)
  77. Ein erstaunliches Schnur-Orakel (with M. Schmitz),
    Stochastik in der Schule 33(1), 2-7 (2013)
  78. Combinatorial inequalities and subspaces of L1 (with C. Schütt)
    Studia Math. 211(1), 21-39 (2012)
  79. Subspaces of L1 and Combinatorial Inequalities in Banach Space Theory
    Doctoral thesis (Kiel, 2011)
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