Siegfried Graf

2.0k total citations
40 papers, 1.2k citations indexed

About

Siegfried Graf is a scholar working on Computer Vision and Pattern Recognition, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Siegfried Graf has authored 40 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Computer Vision and Pattern Recognition, 14 papers in Mathematical Physics and 11 papers in Geometry and Topology. Recurrent topics in Siegfried Graf's work include Advanced Data Compression Techniques (12 papers), Advanced Topology and Set Theory (10 papers) and Mathematical Dynamics and Fractals (10 papers). Siegfried Graf is often cited by papers focused on Advanced Data Compression Techniques (12 papers), Advanced Topology and Set Theory (10 papers) and Mathematical Dynamics and Fractals (10 papers). Siegfried Graf collaborates with scholars based in Germany, France and United States. Siegfried Graf's co-authors include Harald Luschgy, Christoph Bandt, R. Daniel Mauldin, Stanley C. Williams, Gilles Pagès, S. C. Williams, Erich Novak, Anargyros Papageorgiou, Abdel G. Babiker and Dieter Korn and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Lecture notes in mathematics and Journal of Mathematical Analysis and Applications.

In The Last Decade

Siegfried Graf

39 papers receiving 1.0k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Siegfried Graf Germany 17 577 292 236 206 162 40 1.2k
Paul Ressel Germany 9 491 0.9× 130 0.4× 501 2.1× 130 0.6× 227 1.4× 46 1.2k
Robert F. Tichy Austria 20 538 0.9× 161 0.6× 230 1.0× 573 2.8× 610 3.8× 146 2.0k
Jens Peter Christensen Denmark 15 777 1.3× 136 0.5× 614 2.6× 457 2.2× 334 2.1× 41 1.6k
Gerald A. Edgar United States 18 818 1.4× 54 0.2× 347 1.5× 289 1.4× 305 1.9× 51 1.4k
Stephen Demko United States 12 691 1.2× 220 0.8× 151 0.6× 61 0.3× 366 2.3× 26 1.4k
Harald Luschgy Germany 15 209 0.4× 302 1.0× 172 0.7× 56 0.3× 84 0.5× 49 873
Aline Bonami France 18 487 0.8× 145 0.5× 848 3.6× 115 0.6× 134 0.8× 63 1.2k
John H. Elton United States 15 714 1.2× 69 0.2× 131 0.6× 89 0.4× 95 0.6× 23 964
Jean‐Pierre Kahane France 17 948 1.6× 89 0.3× 826 3.5× 336 1.6× 244 1.5× 79 1.8k
Christian Houdré United States 16 226 0.4× 71 0.2× 312 1.3× 84 0.4× 88 0.5× 86 839

Countries citing papers authored by Siegfried Graf

Since Specialization
Citations

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

Fields of papers citing papers by Siegfried Graf

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Siegfried Graf

This figure shows the co-authorship network connecting the top 25 collaborators of Siegfried Graf. A scholar is included among the top collaborators of Siegfried Graf 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 Siegfried Graf. Siegfried Graf is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Graf, Siegfried, Harald Luschgy, & Gilles Pagès. (2006). Optimal quantizers for Radon random vectors in a Banach space. Journal of Approximation Theory. 144(1). 27–53. 16 indexed citations
2.
Graf, Siegfried, et al.. (2006). A Closed form Solution for Monocular Re-Projective 3D Pose Estimation of Regular Planar Patterns. 2197–2200. 5 indexed citations
3.
Graf, Siegfried & Harald Luschgy. (2005). Entropy-constrained functional quantization of Gaussian processes. Proceedings of the American Mathematical Society. 133(11). 3403–3409. 1 indexed citations
4.
Delattre, Sylvain, et al.. (2005). Quantization of probability distributions under norm-based distortion measures II: Self-similar distributions. Journal of Mathematical Analysis and Applications. 318(2). 507–516. 2 indexed citations
5.
Graf, Siegfried & Harald Luschgy. (2005). The point density measure in the quantization of self-similar probabilities. Mathematical Proceedings of the Cambridge Philosophical Society. 138(3). 513–531. 19 indexed citations
6.
Graf, Siegfried & Harald Luschgy. (2004). Sharp asymptotics of the metric entropy for ellipsoids. Journal of Complexity. 20(6). 876–882. 1 indexed citations
7.
Graf, Siegfried & Harald Luschgy. (2004). Quantization for probability measures with respect to the geometric mean error. Mathematical Proceedings of the Cambridge Philosophical Society. 136(3). 687–717. 30 indexed citations
8.
Graf, Siegfried, Harald Luschgy, & Gilles Pagès. (2003). Functional Quantization and Small Ball Probabilities for Gaussian Processes. Journal of Theoretical Probability. 16(4). 1047–1062. 17 indexed citations
9.
Graf, Siegfried. (2002). The quantization of probability distributions: Some results and open problems. Real Analysis Exchange. 26(26). 87–102. 1 indexed citations
10.
Graf, Siegfried & Harald Luschgy. (2002). The Quantization Dimension of Self–Similar Probabilities. Mathematische Nachrichten. 241(1). 103–109. 37 indexed citations
11.
Graf, Siegfried & Harald Luschgy. (1997). The Quantization of the Cantor Distribution. Mathematische Nachrichten. 183(1). 113–133. 19 indexed citations
12.
Graf, Siegfried. (1992). Barnsley's scheme for the fractal encoding of images. Journal of Complexity. 8(1). 72–78. 16 indexed citations
13.
Bandt, Christoph & Siegfried Graf. (1992). Self-similar sets. VII. A characterization of self-similar fractals with positive Hausdorff measure. Proceedings of the American Mathematical Society. 114(4). 995–1001. 87 indexed citations
14.
Graf, Siegfried, Erich Novak, & Anargyros Papageorgiou. (1989). Bisection is not optimal on the average. Numerische Mathematik. 55(4). 481–491. 14 indexed citations
15.
Graf, Siegfried, R. Daniel Mauldin, & Stanley C. Williams. (1988). The exact Hausdorff dimension in random recursive constructions. Memoirs of the American Mathematical Society. 71(381). 0–0. 69 indexed citations
16.
Graf, Siegfried. (1987). Statistically self-similar fractals. Probability Theory and Related Fields. 74(3). 357–392. 83 indexed citations
17.
Graf, Siegfried, R. Daniel Mauldin, & S. C. Williams. (1986). Random homeomorphisms. Advances in Mathematics. 60(3). 239–359. 26 indexed citations
18.
Graf, Siegfried. (1982). Realizing automorphisms of quotients of productσ-fields. Pacific Journal of Mathematics. 99(1). 19–30. 19 indexed citations
19.
Graf, Siegfried. (1980). Induced ?-homomorphisms and a parametrization of measurable sections via extremal preimage measures. Mathematische Annalen. 247(1). 67–80. 10 indexed citations
20.
Graf, Siegfried. (1975). On the existence of strong liftings in second countable topological spaces. Pacific Journal of Mathematics. 58(2). 419–426. 47 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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Paul Ressel Breakdown of academic impact, for papers by Robert F. Tichy Breakdown of academic impact, for papers by Jens Peter Christensen Breakdown of academic impact, for papers by Gerald A. Edgar Breakdown of academic impact, for papers by Stephen Demko Breakdown of academic impact, for papers by Harald Luschgy Breakdown of academic impact, for papers by Aline Bonami Breakdown of academic impact, for papers by John H. Elton Breakdown of academic impact, for papers by Jean‐Pierre Kahane Breakdown of academic impact, for papers by Christian Houdré
Rankless by CCL
2026