Jan Vybíral

Department of Mathematics Faculty of Nuclear Sciences     and Physical Engineering Czech Technical University Trojanova 13 12000 Praha Czech Republic Katedra matematiky Fakulta jaderná a fyzikálně inženýrská České vysoké učení technické v Praze Trojanova 13 12000 Praha Česká Republika

What's new:

• Paper (jointly with M. Troedler and J. Volec) Lower bounds on the minimal dispersion of point sets via cover-free families appeared in Journal of Complexity
• Approximation, geometry and probability in high dimensions, September 21-26, 2025, Bedlewo, Poland
• Preprint on Nonlocal techniques for the analysis of deep ReLU neural network approximations (jointly with Cornelia Schneider and Mario Ullrich) was submitted.
• Workshop Phase retrieval and Banach lattices, ETH Zurich
• Paper Entropy numbers of finite-dimensional Lorentz space embeddings, jointly with J. Prochno and M. Sonnleitner, accepted in Studia Mathematica
• Preprint (jointly with M. Troedler and J. Volec) Lower bounds on the minimal dispersion of point sets via cover-free families submitted
• Workshop on Approximation Theory and Fast Algorithms, Hasenwinkel (Germany)
• SNA Ostrava 2025
• January 2025: Visit at JKU Linz
• Joined the editorial board of Mathematische Nachrichten
• Joined the editorial board of Constructive Approximation
• Preprint Robust network formation with biological applications (jointly with J. Haskovec), appeared in Networks and Heterogeneous Media
• Paper Entropy numbers of finite-dimensional Lorentz space embeddings, jointly with J. Prochno and M. Sonnleitner, was submitted
• Paper A tight lower bound on the minimal dispersion (jointly with M. Trodler and J. Volec), appeared in European Journal of Combinatorics
• Upcoming conferences: Strobl 2024, Bedlewo (birthday conference of Przemyslaw Wojtaszczyk), Siegmundsburg, FSDONA 2024
• Preprint A multivariate Riesz basis of ReLU neural networks (jointly with C. Schneider), appeared in Appl. Comput. Harm. Anal.
• Preprint Robust network formation with biological applications (jointly with J. Haskovec), submitted
• November 2023: visit to University of Passau, December 2023: visit to Friedrich-Schiller University in Jena
• Preprint A tight lower bound on the minimal dispersion (jointly with M. Trodler and J. Volec), submitted
• Preprint New lower bounds for the integration of periodic functions (jointly with D. Krieg) appeared in J. Fourier. Anal. Appl.
• Workshop on Mathematical Information Science, The Lagrange Mathematics and Computation Research Center, October 2023, Paris
• Preprint A multivariate Riesz basis of ReLU neural networks (jointly with C. Schneider), submitted
• Preprint on Path regularity of Brownian motion and Brownian sheet (jointly with C. Schneider and H. Kempka) will appear in Constr. Approx.
• Algorithms and Complexity for Continuous Problems, Dagstuhl, Germany
• ICIAM 2023, Tokyo, Japan
• Foundations of Computational Mathematics, Paris, France
• Preprint New lower bounds for the integration of periodic functions (jointly with D. Krieg) submitted
• Preprint on Path regularity of Brownian motion and Brownian sheet (jointly with C. Schneider and H. Kempka) submitted
• NAFSA 12, Slides of my talk on path regularity of Wiener process and Brownian motion
• Spending the summer term (April-September) 2022 at TU Munich (Garching)
• Preprint (jointly with A. Hinrichs, D. Krieg, and E. Novak) Lower bounds for integration and recovery in L2 was submitted
• Preprint (jointly with with M. Fornasier and I. Daubechies) Identification of shallow neural networks by fewest samples appeared in IMA: Information and Inference
• Lower bounds for the error of quadrature formulas for Hilbert spaces, jointly with A. Hinrichs, D. Krieg, and E. Novak, appeared in J. Compl.
• Preprint Gelfand numbers of embeddings of Schatten classes, jointly with A. Hinrichs and J. Prochno, will appear in Math. Ann.

Lecture notes: