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Bernstein approximation and beyond: proofs by means of elementary probability theory
Cui, T. & Pillichshammer, F., 2026, In: Elemente der Mathematik. 81, p. 1-7 7 p.Research output: Contribution to journal › Article › peer-review
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Introduction to Quasi-Monte Carlo Integration and Applications
Leobacher, G. & Pillichshammer, F., 15 Feb 2026, 2 ed. Cham: Birkhäuser. (Compact Textbooks in Mathematics)Research output: Book › Monograph › peer-review
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Upper bounds for generalized Lp-discrepancy of random points
Novak, E. & Pillichshammer, F., Aug 2026, In: Journal of Complexity. 95, 18 p., 102028.Research output: Contribution to journal › Article › peer-review
Open Access -
Conditions for tractability of the weighted Lp-discrepancy and integration in non-homogeneous tensor product spaces
Novak, E. & Pillichshammer, F., Feb 2025, In: Monatshefte für Mathematik. 206, 2, p. 449 - 470 22 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Intractability results for integration in tensor product spaces
Novak, E. & Pillichshammer, F., Feb 2025, In: Journal of Complexity. 86, 28 p., 101901.Research output: Contribution to journal › Article › peer-review
Open Access
Projects
- 6 Finished
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Digital Nets and Lattice Based Integrations Rules
Pillichshammer, F. (PI)
01.02.2018 → 31.01.2023
Project: Funded research › FWF - Austrian Science Fund
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Quasi-Monte Carlo Methods: Theory and Applications
Aistleitner, C. (Researcher), Drmota, M. (Researcher), Grabner, P. (Researcher), Hinrichs, A. (Researcher), Hofer, R. (Researcher), Kritzer, P. (Researcher), Leobacher, G. (Researcher), Pillichshammer, F. (Researcher), Tichy, R. (Researcher) & Larcher, G. (PI)
01.02.2018 → 31.01.2023
Project: Funded research › FWF - Austrian Science Fund
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Quasi-Monte Carlo Methods: Theory and Applications
Drmota, M. (Researcher), Grabner, P. (Researcher), Hellekalek, P. (Researcher), Hofer, R. (Researcher), Kritzer, P. (Researcher), Leobacher, G. (Researcher), Pillichshammer, F. (Researcher), Tichy, R. (Researcher), Winterhof, A. (Researcher) & Larcher, G. (PI)
01.02.2014 → 31.01.2018
Project: Funded research › FWF - Austrian Science Fund
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Digital Nets and Lattice Based Integrations Rules
Pillichshammer, F. (PI)
01.02.2014 → 31.01.2018
Project: Funded research › FWF - Austrian Science Fund
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Discrepancy of digital nets and sequences (Subprojekt des NFN S-96)
Cristea, L. L. (Researcher), Irrgeher, C. (Researcher), Kritzer, P. (Researcher), Pirsic, I. (Researcher), Pillichshammer, F. (PI) & Schmid, W. C. (PI)
01.01.2006 → 31.07.2012
Project: Funded research › FWF - Austrian Science Fund
Activities
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Projektwoche Angewandte Mathematik 2026: für begabte Schülerinnen und Schüler der AHS-Oberstufe und der BHS
Pillichshammer, F. (Organiser), Grasegger, G. (Participant), Hackl, S. (Participant), Langgruber, P. (Participant), Moosbauer, J. (Participant) & Petras, A. (Participant)
08 Feb 2026 → 12 Feb 2026Activity: Participating in or organising an event › Participating in a conference, workshop, ...
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Approximation, Geometry and Probability in High Dimensions
Pillichshammer, F. (Participant)
22 Sept 2025 → 26 Sept 2025Activity: Participating in or organising an event › Organising a conference, workshop, ...
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The Lp-discrepancy for finite p>1 suffers from the curse of dimensionality
Pillichshammer, F. (Speaker)
22 Sept 2025Activity: Talk or presentation › Other talk or presentation › science-to-science
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The Lp-discrepancy for finite p>1 suffers from the curse of dimensionality
Pillichshammer, F. (Speaker)
02 Sept 2025Activity: Talk or presentation › Other talk or presentation › science-to-science
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Information Based Complexity
Pillichshammer, F. (Organiser) & Ullrich, M. (Organiser)
02 Sept 2025Activity: Participating in or organising an event › Organising a conference, workshop, ...