Peter Hellekalek

1.4k total citations
34 papers, 750 citations indexed

About

Peter Hellekalek is a scholar working on Numerical Analysis, Computer Vision and Pattern Recognition and Mathematical Physics. According to data from OpenAlex, Peter Hellekalek has authored 34 papers receiving a total of 750 indexed citations (citations by other indexed papers that have themselves been cited), including 16 papers in Numerical Analysis, 10 papers in Computer Vision and Pattern Recognition and 9 papers in Mathematical Physics. Recurrent topics in Peter Hellekalek's work include Mathematical Approximation and Integration (16 papers), Chaos-based Image/Signal Encryption (7 papers) and advanced mathematical theories (7 papers). Peter Hellekalek is often cited by papers focused on Mathematical Approximation and Integration (16 papers), Chaos-based Image/Signal Encryption (7 papers) and advanced mathematical theories (7 papers). Peter Hellekalek collaborates with scholars based in Austria, United Kingdom and France. Peter Hellekalek's co-authors include Gerhard Larcher, Harald Niederreiter, Peter Zinterhof, Stefan Wegenkittl, Hannes Leeb, Peter Kritzer, MTW, Friedrich Pillichshammer, Pierre Liardet and Peter J. Grabner and has published in prestigious journals such as Journal of the American Statistical Association, Theoretical Computer Science and Mathematics and Computers in Simulation.

In The Last Decade

Peter Hellekalek

32 papers receiving 688 citations

Peers

Peter Hellekalek

NA

CVPR

CTM

AI

SPU

Shu Tezuka Japan

Gerhard Larcher Austria

G.W. Wasilkowski United States

Houduo Qi United Kingdom

Dean S. Clark United States

Rekha R. Thomas United States

David L. Jagerman United States

Friedrich Pillichshammer Austria

Robert G. Bland United States

Zlatko Drmač Croatia

Shu Tezuka Japan

Peter Hellekalek

372 ×1.3

NA

322 ×1.5

CVPR

309 ×1.6

CTM

285 ×1.6

AI

110 ×0.9

SPU

Citations per year, relative to Peter Hellekalek Peter Hellekalek (= 1×) peers Shu Tezuka

Countries citing papers authored by Peter Hellekalek

Since Specialization

Citations

This map shows the geographic impact of Peter Hellekalek'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 Hellekalek with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Peter Hellekalek more than expected).

Fields of papers citing papers by Peter Hellekalek

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Peter Hellekalek. 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 Hellekalek. The network helps show where Peter Hellekalek may publish in the future.

Co-authorship network of co-authors of Peter Hellekalek

This figure shows the co-authorship network connecting the top 25 collaborators of Peter Hellekalek. A scholar is included among the top collaborators of Peter Hellekalek 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 Hellekalek. Peter Hellekalek 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

1.

Hellekalek, Peter & Pierre Liardet. (2019). The dynamics associated with certain digital sequences. Advanced studies in pure mathematics. 105–131.

2.

Hellekalek, Peter, Peter Kritzer, & Friedrich Pillichshammer. (2015). Open type quasi-Monte Carlo integration based on Halton sequences in weighted Sobolev spaces. Journal of Complexity. 33. 169–189. 3 indexed citations

3.

Hellekalek, Peter & Harald Niederreiter. (2011). Constructions of uniformly distributed sequences using the b-adic method. 185–200. 6 indexed citations

4.

Hellekalek, Peter. (2005). Inversive pseudorandom number generators: concepts, results and links. 255–262. 4 indexed citations

5.

Hellekalek, Peter. (2002). Don't trust parallel Monte Carlo!. 82–89. 8 indexed citations

6.

Hellekalek, Peter. (1998). Don't trust parallel Monte Carlo!. 28(1). 82–89. 27 indexed citations

7.

Hellekalek, Peter. (1998). Good random number generators are (not so) easy to find. Mathematics and Computers in Simulation. 46(5-6). 485–505. 101 indexed citations

8.

Hellekalek, Peter. (1998). Don't trust parallel Monte Carlo!. ACM SIGSIM Simulation Digest. 28(1). 82–89. 8 indexed citations

9.

Niederreiter, Harald, Peter Hellekalek, Gerhard Larcher, & Peter Zinterhof. (1998). Monte Carlo and Quasi-Monte Carlo Methods 1996. Lecture notes in statistics. 224 indexed citations

10.

Hellekalek, Peter & Gerhard Larcher. (1998). Random and Quasi-Random Point Sets. Lecture notes in statistics. 135 indexed citations

11.

Hellekalek, Peter. (1997). A note on pseudorandom number generators. Simulation Practice and Theory. 5(6). p6–p8. 3 indexed citations

12.

Hellekalek, Peter & Hannes Leeb. (1997). Dyadic diaphony. Acta Arithmetica. 80(2). 187–196. 9 indexed citations

13.

Hellekalek, Peter. (1994). General discrepancy estimates: the Walsh function system. Acta Arithmetica. 67(3). 209–218. 25 indexed citations

14.

Hellekalek, Peter. (1992). On the boundedness of Weyl sums. Monatshefte für Mathematik. 114(3-4). 199–208. 1 indexed citations

15.

Hellekalek, Peter & Gerhard Larcher. (1989). On Weyl sums and skew products over irrational rotations. Theoretical Computer Science. 65(2). 189–196. 12 indexed citations

16.

Hellekalek, Peter & Gerhard Larcher. (1989). On functions with bounded remainder. Annales de l’institut Fourier. 39(1). 17–26. 6 indexed citations

17.

Hellekalek, Peter. (1987). Ergodicity of a class of cylinder flows related to irregularities of distribution. Compositio Mathematica. 61(2). 129–136. 4 indexed citations

18.

Hellekalek, Peter & Gerhard Larcher. (1986). On the ergodicity of a class of skew products. Israel Journal of Mathematics. 54(3). 301–306. 11 indexed citations

19.

Hellekalek, Peter. (1984). Regularities in the distribution of special sequences. Journal of Number Theory. 18(1). 41–55. 23 indexed citations

20.

Hellekalek, Peter. (1979). Zur Konvergenz derL n -Diskrepanz gegen die extreme Diskrepanz. Monatshefte für Mathematik. 88(1). 1–6. 1 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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