Dėnes Petz

7.0k total citations · 1 hit paper
75 papers, 3.7k citations indexed

About

Dėnes Petz is a scholar working on Applied Mathematics, Mathematical Physics and Statistical and Nonlinear Physics. According to data from OpenAlex, Dėnes Petz has authored 75 papers receiving a total of 3.7k indexed citations (citations by other indexed papers that have themselves been cited), including 27 papers in Applied Mathematics, 23 papers in Mathematical Physics and 23 papers in Statistical and Nonlinear Physics. Recurrent topics in Dėnes Petz's work include Mathematical Inequalities and Applications (22 papers), Matrix Theory and Algorithms (22 papers) and Quantum Mechanics and Applications (17 papers). Dėnes Petz is often cited by papers focused on Mathematical Inequalities and Applications (22 papers), Matrix Theory and Algorithms (22 papers) and Quantum Mechanics and Applications (17 papers). Dėnes Petz collaborates with scholars based in Hungary, Japan and Belgium. Dėnes Petz's co-authors include Fumio Hiai, 雅則 大矢, Masanori Ohya, G. Tóth, Mary Beth Ruskai, Milán Mosonyi, Cédric Bény, David Pérez-Garcı́a, Michael M. Wolf and Jaroslav Zemánek and has published in prestigious journals such as IEEE Transactions on Information Theory, Physical Review A and Communications in Mathematical Physics.

In The Last Decade

Dėnes Petz

67 papers receiving 3.6k citations

Hit Papers

Quantum Entropy and Its Use 1993 2026 2004 2015 1993 100 200 300 400
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Quantum Entropy and Its Use
    1993 481 citations Dėnes Petz et al. profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Dėnes Petz Hungary 23 2.0k 2.0k 1.2k 731 589 75 3.7k
Mary Beth Ruskai United States 23 1.7k 0.8× 1.6k 0.8× 570 0.5× 368 0.5× 323 0.5× 67 2.9k
David Pérez-Garcı́a Spain 36 3.7k 1.8× 1.9k 1.0× 538 0.4× 353 0.5× 521 0.9× 104 4.6k
Luigi Accardi Italy 26 1.8k 0.9× 1.2k 0.6× 812 0.7× 285 0.4× 1.1k 1.9× 324 3.3k
Huzihiro Araki Japan 34 2.0k 1.0× 853 0.4× 1.4k 1.1× 511 0.7× 1.5k 2.5× 90 4.4k
Derek W. Robinson Australia 29 2.9k 1.4× 965 0.5× 1.9k 1.6× 1.1k 1.5× 2.7k 4.6× 157 6.2k
R. F. Streater United Kingdom 25 1.2k 0.6× 477 0.2× 960 0.8× 372 0.5× 771 1.3× 128 2.9k
Man-Duen Choi Canada 21 1.5k 0.7× 1.6k 0.8× 416 0.3× 638 0.9× 1.2k 2.1× 47 3.5k
Ingemar Bengtsson Sweden 27 2.5k 1.2× 2.4k 1.2× 1.3k 1.1× 172 0.2× 197 0.3× 104 4.3k
A. S. Holevo Russia 30 4.9k 2.4× 5.1k 2.6× 985 0.8× 141 0.2× 288 0.5× 105 6.0k
Eric M. Rains United States 32 1.7k 0.8× 3.9k 2.0× 302 0.3× 178 0.2× 817 1.4× 101 5.3k

Countries citing papers authored by Dėnes Petz

Since Specialization
Citations

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

Fields of papers citing papers by Dėnes Petz

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Dėnes Petz

This figure shows the co-authorship network connecting the top 25 collaborators of Dėnes Petz. A scholar is included among the top collaborators of Dėnes Petz 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 Dėnes Petz. Dėnes Petz 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.
Pálfia, Miklós & Dėnes Petz. (2014). Weighted multivariable operator means of positive definite operators. Linear Algebra and its Applications. 463. 134–153. 4 indexed citations
2.
Petz, Dėnes, et al.. (2013). Some Decompositions of Matrix Variances. 33(2). 191–199.
3.
Petz, Dėnes, et al.. (2013). Partial subadditivity of entropies. Linear Algebra and its Applications. 439(10). 3297–3305. 4 indexed citations
4.
Hiai, Fumio, Hideki Kosaki, Dėnes Petz, & Mary Beth Ruskai. (2013). Families of completely positive maps associated with monotone metrics. Linear Algebra and its Applications. 439(7). 1749–1791. 11 indexed citations
5.
Tóth, G. & Dėnes Petz. (2013). Extremal properties of the variance and the quantum Fisher information. Physical Review A. 87(3). 70 indexed citations
6.
Hiai, Fumio & Dėnes Petz. (2012). From Quasi-Entropy to Various Quantum Information Quantities. Publications of the Research Institute for Mathematical Sciences. 48(3). 525–542. 15 indexed citations
7.
Petz, Dėnes, et al.. (2012). Optimal quantum-state tomography with known parameters. Journal of Physics A Mathematical and Theoretical. 45(8). 85306–85306. 13 indexed citations
8.
Petz, Dėnes, et al.. (2011). Completely positive mappings and mean matrices. Linear Algebra and its Applications. 435(5). 984–997. 11 indexed citations
9.
Petz, Dėnes. (2011). John von Neumann and the Theory of Operator Algebras. Cold Spring Harbor Symposia on Quantitative Biology. 31. 449–55.
10.
Hiai, Fumio & Dėnes Petz. (2009). Riemannian metrics on positive definite matrices related to means. Linear Algebra and its Applications. 430(11-12). 3105–3130. 58 indexed citations
11.
Petz, Dėnes, et al.. (2007). Quasi-orthogonal subalgebras of 4×4 matrices. Linear Algebra and its Applications. 425(1). 109–118. 8 indexed citations
12.
Hiai, Fumio & Dėnes Petz. (2006). The Semicircle Law, Free Random Variables and Entropy (Mathematical Surveys & Monographs). American Mathematical Society eBooks. 56 indexed citations
13.
Hiai, Fumio & Dėnes Petz. (2006). The Semicircle Law, Free Random Variables and Entropy. Mathematical surveys and monographs. 216 indexed citations
14.
Hiai, Fumio, et al.. (2005). EQUILIBRIUM STATES AND THEIR ENTROPY DENSITIES IN GAUGE-INVARIANT C*-SYSTEMS. Reviews in Mathematical Physics. 17(4). 365–389.
15.
Fannes, M. & Dėnes Petz. (2003). Perturbation of Wigner matrices and a conjecture. Proceedings of the American Mathematical Society. 131(7). 1981–1988. 8 indexed citations
16.
Hiai, Fumio, et al.. (2002). Free relative entropy for measures and a corresponding perturbation theory. Journal of the Mathematical Society of Japan. 54(3). 6 indexed citations
17.
Hiai, Fumio, et al.. (2002). Free relative entropy for measures and a corresponding perturbation theory. Project Euclid (Cornell University). 54(3). 679–718. 4 indexed citations
18.
Hiai, Fumio & Dėnes Petz. (1993). The Golden-Thompson trace inequality is complemented. Linear Algebra and its Applications. 181. 153–185. 85 indexed citations
19.
Petz, Dėnes. (1991). On certain properties of the relative entropy of states of operator algebras. Mathematische Zeitschrift. 206(1). 351–361. 11 indexed citations
20.
Petz, Dėnes & Jaroslav Zemánek. (1988). Characterizations of the trace. Linear Algebra and its Applications. 111. 43–52. 25 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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