Peter J. Grabner

1.8k total citations
108 papers, 991 citations indexed

About

Peter J. Grabner is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Algebra and Number Theory. According to data from OpenAlex, Peter J. Grabner has authored 108 papers receiving a total of 991 indexed citations (citations by other indexed papers that have themselves been cited), including 32 papers in Mathematical Physics, 32 papers in Computational Theory and Mathematics and 27 papers in Algebra and Number Theory. Recurrent topics in Peter J. Grabner's work include Mathematical Dynamics and Fractals (24 papers), Analytic Number Theory Research (23 papers) and Mathematical Approximation and Integration (17 papers). Peter J. Grabner is often cited by papers focused on Mathematical Dynamics and Fractals (24 papers), Analytic Number Theory Research (23 papers) and Mathematical Approximation and Integration (17 papers). Peter J. Grabner collaborates with scholars based in Austria, United States and United Kingdom. Peter J. Grabner's co-authors include Robert F. Tichy, Helmut Prodinger, Peter Kirschenhofer, Philippe Flajolet, Johann S. Brauchart, Arnold Knopfmacher, Helmut Eichlseder, Pierre Liardet, Clemens Heuberger and Wolfgang Woess and has published in prestigious journals such as Mathematics of Computation, SAE technical papers on CD-ROM/SAE technical paper series and Journal of Computational and Applied Mathematics.

In The Last Decade

Peter J. Grabner

104 papers receiving 900 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Peter J. Grabner Austria	17	363	311	231	206	135	108	991
N. J. Young United Kingdom	19	359 1.0×	205 0.7×	238 1.0×	40 0.2×	87 0.6×	88	1.2k
Michael J. Mossinghoff United States	12	96 0.3×	131 0.4×	135 0.6×	80 0.4×	22 0.2×	44	540
Ulrich Oberst Austria	18	207 0.6×	338 1.1×	319 1.4×	67 0.3×	96 0.7×	56	920
Kenneth B. Stolarsky United States	16	198 0.5×	287 0.9×	167 0.7×	81 0.4×	239 1.8×	75	1.2k
Sergeĭ Konyagin Russia	18	291 0.8×	261 0.8×	544 2.4×	317 1.5×	181 1.3×	139	1.4k
Stan Wagon United States	14	92 0.3×	216 0.7×	100 0.4×	61 0.3×	43 0.3×	98	682
Henry Crapo France	18	169 0.5×	505 1.6×	255 1.1×	138 0.7×	12 0.1×	48	1.3k
Hua Loo Keng Taiwan	4	101 0.3×	150 0.5×	221 1.0×	101 0.5×	115 0.9×	5	673
Juan Malumbres Spain	16	167 0.5×	192 0.6×	124 0.5×	23 0.1×	236 1.7×	85	817
Horst Alzer Germany	26	101 0.3×	158 0.5×	458 2.0×	49 0.2×	151 1.1×	214	2.7k

Countries citing papers authored by Peter J. Grabner

Since Specialization

Citations

This map shows the geographic impact of Peter J. Grabner's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Peter J. Grabner with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Peter J. Grabner more than expected).

Fields of papers citing papers by Peter J. Grabner

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Peter J. Grabner. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Peter J. Grabner. The network helps show where Peter J. Grabner may publish in the future.

Co-authorship network of co-authors of Peter J. Grabner

This figure shows the co-authorship network connecting the top 25 collaborators of Peter J. Grabner. A scholar is included among the top collaborators of Peter J. Grabner based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Peter J. Grabner. Peter J. Grabner is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Grabner, Peter J., et al.. (2024). Towards Robust Hydrogen Combustion: Precise Lube Oil Consumption Measurement as an Enabler for Tackling Pre-Ignition. SAE International Journal of Advances and Current Practices in Mobility. 7(4). 1607–1618. 2 indexed citations

Beltrán, Carlos, et al.. (2021). How well-conditioned can the eigenvector problem be?. Mathematics of Computation. 1 indexed citations

Grabner, Peter J., et al.. (2020). Hyperuniform point sets on the sphere: probabilistic aspects. arXiv (Cornell University). 1 indexed citations

Grabner, Peter J., et al.. (2018). Comparison of probabilistic and deterministic point sets on the sphere. Journal of Approximation Theory. 239. 128–143. 1 indexed citations

Eichlseder, Helmut, et al.. (2010). Hydrogen Internal Combustion Engines. JuSER (Forschungszentrum Jülich). 811–830. 4 indexed citations

Grabner, Peter J., Douglas P. Hardin, Edward B. Saff, & Martina Zähle. (2008). Mini-Workshop: Geometric Measure Theoretic Approaches to Potentials on Fractals and Manifolds. Oberwolfach Reports. 4(2). 1027–1072. 1 indexed citations

Derfel, Gregory, et al.. (2007). Asymptotics of the Poincaré functions. 113–129. 1 indexed citations

Albrecher, Hansjörg, Michael Drmota, Martin Goldstern, Peter J. Grabner, & R. Winkler. (2006). Robert F, Tichy: 50 years - the unreasonable effectiveness of a number theorist. 2. 115–124. 1 indexed citations

Grabner, Peter J., Clemens Heuberger, & Helmut Prodinger. (2004). Distribution results for low-weight binary representations for pairs of integers. Theoretical Computer Science. 319(1-3). 307–331. 16 indexed citations

10.

Grabner, Peter J.. (2004). Distribution results for low-weight binary representations for pairs of integers. Theoretical Computer Science. 319(1-3). 307–331. 2 indexed citations

11.

Grabner, Peter J., et al.. (2003). Fractals in Graz 2001 : Analysis - Dynamics - Geometry - Stochastics. Birkhäuser eBooks. 4 indexed citations

12.

Grabner, Peter J., Arnold Knopfmacher, & Helmut Prodinger. (2000). Run Statistics for Geometrically Distributed Random Variables (Extended Abstract). 457–462. 2 indexed citations

13.

Grabner, Peter J., et al.. (1999). Distribution of the digits in the expansions of rational integers in algebraic bases. Acta Scientiarum Mathematicarum. 65. 469–492. 2 indexed citations

14.

Grabner, Peter J. & Arnold Knopfmacher. (1998). Metric properties of Engel series expansions of Laurent series. Mathematica Slovaca. 48(3). 233–243. 7 indexed citations

15.

Grabner, Peter J., et al.. (1997). Maldistribution in higher dimensions. 8. 215–223. 2 indexed citations

16.

Grabner, Peter J., et al.. (1996). Distribution Properties ofG-Additive Functions. Journal of Number Theory. 60(1). 103–123. 16 indexed citations

17.

Flajolet, Philippe, Peter J. Grabner, Peter Kirschenhofer, & Helmut Prodinger. (1995). On Ramanujan's Q-function. Journal of Computational and Applied Mathematics. 58(1). 103–116. 42 indexed citations

18.

Grabner, Peter J. & Robert F. Tichy. (1993). Spherical Designs, Discrepancy and Numerical Integration. Mathematics of Computation. 60(201). 327–327. 4 indexed citations

19.

Grabner, Peter J. & Robert F. Tichy. (1993). Spherical designs, discrepancy and numerical integration. Mathematics of Computation. 60(201). 327–336. 25 indexed citations

20.

Grabner, Peter J.. (1993). A note on the parity of the sum-of-digits function.. 30. 10 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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