Personal profile
Austrian Fields of Study 2012 (6-stellig)
- 101002 Analysis
- 101012 Combinatorics
- 101025 Number theory
- 101024 Probability theory
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Collaborations and top research areas from the last five years
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Positive Definite Singular Kernels on Two-Point Homogeneous Spaces
Bilyk, D. & Grabner, P. J., 2026, Applied and Numerical Harmonic Analysis. Birkhauser, p. 55-76 22 p. (Applied and Numerical Harmonic Analysis; vol. Part F1289).Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review
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Needlets liberated
Brauchart, J. S., Grabner, P. J., Sloan, I. H. & Womersley, R. S., Nov 2024, In: Applied and Computational Harmonic Analysis. 73, 16 p., 101693.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
Riesz energy, L2 discrepancy, and optimal transport of determinantal point processes on the sphere and the flat torus
Borda, B., Grabner, P. & Matzke, R. W., Apr 2024, In: Mathematika. 70, 2, e12245.Research output: Contribution to journal › Article › peer-review
Open Access -
Riesz and Green energy on projective spaces
Anderson, A., Dostert, D., Grabner, P., Matzke, R. W. & Stepaniuk, T., 26 Jul 2023, In: Transactions of the American Mathematical Society. 10, p. 1039-1076Research output: Contribution to journal › Article › peer-review
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Asymptotic expansions for the coefficients of extremal quasimodular forms and a conjecture of Kaneko and Koike
Grabner, P., Mar 2022, In: The Ramanujan Journal. 57, 3, p. 1021-1041 21 p.Research output: Contribution to journal › Article › peer-review
Activities
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Hyperuniformity and Energy on Projective Spaces
Grabner, P. (Speaker)
26 Jul 2024Activity: Talk or presentation › Talk at workshop, seminar or course › Science to science
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Hyperuniformity and Energy on Projective Spaces
Grabner, P. (Speaker)
7 Jun 2024Activity: Talk or presentation › Talk at workshop, seminar or course › Science to science
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Hyperuniformity on the Sphere
Grabner, P. (Speaker)
21 Feb 2023Activity: Talk or presentation › Talk at workshop, seminar or course › Science to science
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Upper and lower bounds for Riesz and Green energies on projective spaces
Grabner, P. (Speaker)
30 May 2023Activity: Talk or presentation › Invited talk at conference or symposium › Science to science
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ESI Workshop Optimal Point Configurations on Manifolds
Bachoc, C. (Organiser), Cohn, H. (Organiser), Grabner, P. (Participant), Hardin, D. (Organiser), Saff, E. (Organiser), Schürmann, A. (Organiser) & Womersley, R. (Organiser)
10 Jan 2022 → 21 Jan 2022Activity: Participation in or organisation of › Workshop, seminar or course (Participation in/Organisation of)
Prizes
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Förderungspreis für Wissenschaft und Forschung
Grabner, P. (Recipient), 2000
Prize: Prizes / Medals / Awards
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Lise-Meitner-Programm
Brauchart, J. (Recipient) & Grabner, P. (Recipient), 1 Oct 2016
Prize: Prizes / Medals / Awards
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Linear programming methods for Energy and Designs
Aistleitner, C. (Attendee / Assistant), Manskova, M. (Attendee / Assistant), Brauchart, J. (Attendee / Assistant) & Grabner, P. (Consortium manager resp. coordinator with external organisations)
1/07/25 → 30/06/27
Project: Research project
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FWF - SYMDYNAR - Symbolic dynamics and arithmetic expansions
Grabner, P. (Project manager on research unit) & Thuswaldner, J. (Consortium manager resp. coordinator with external organisations)
1/01/24 → 31/12/27
Project: Research project
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FWF - MUDERA - Multiplicativity, Determinism, and Randomness
Grabner, P. (Project manager on research unit) & Tichy, R. (Project manager on research unit)
1/01/15 → 30/06/19
Project: Research project
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Special Research Area (SFB) F55 Quasi-Monte Carlo Methods: Theory and Applications
Brauchart, J. (Attendee / Assistant), Tichy, R. (Project manager on research unit), Ziefle, J. (Attendee / Assistant), Kusner, W. B. (Attendee / Assistant), Grabner, P. (Project manager on research unit), Aistleitner, C. (Project manager on research unit) & Iaco, M. R. (Attendee / Assistant)
1/02/14 → 31/01/23
Project: Research project
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FWF - Analysis Extremal Discrete Structu - Asymptotic Analysis of Extremal Discrete Structures
Grabner, P. (Co-Investigator (CoI))
1/01/14 → 14/01/16
Project: Research project