Fumio Hiai

5.5k total citations · 1 hit paper
105 papers, 3.1k citations indexed

About

Fumio Hiai is a scholar working on Applied Mathematics, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Fumio Hiai has authored 105 papers receiving a total of 3.1k indexed citations (citations by other indexed papers that have themselves been cited), including 59 papers in Applied Mathematics, 41 papers in Mathematical Physics and 28 papers in Computational Theory and Mathematics. Recurrent topics in Fumio Hiai's work include Mathematical Inequalities and Applications (43 papers), Matrix Theory and Algorithms (24 papers) and Advanced Operator Algebra Research (23 papers). Fumio Hiai is often cited by papers focused on Mathematical Inequalities and Applications (43 papers), Matrix Theory and Algorithms (24 papers) and Advanced Operator Algebra Research (23 papers). Fumio Hiai collaborates with scholars based in Japan, Hungary and Singapore. Fumio Hiai's co-authors include Dėnes Petz, Hisaharu Umegaki, Tsuyoshi Andô, Hideki Kosaki, Milán Mosonyi, Makoto Tsukada, Masanori Ohya, Cédric Bény, Masaki Izumi and Xingzhi Zhan and has published in prestigious journals such as IEEE Transactions on Information Theory, Communications in Mathematical Physics and Lecture notes in mathematics.

In The Last Decade

Fumio Hiai

95 papers receiving 2.7k citations

Hit Papers

align trajectories sort by overperformance

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.

Integrals, conditional expectations, and martingales of multivalued functions

1977 506 citations Fumio Hiai et al. profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Fumio Hiai Japan	28	1.4k	871	862	763	665	105	3.1k
Вилмос Тотик United States	26	3.1k 2.2×	917 1.1×	1.6k 1.8×	577 0.8×	80 0.1×	155	4.1k
Michel Ledoux France	30	2.1k 1.5×	1.3k 1.5×	1.3k 1.5×	531 0.7×	599 0.9×	114	4.6k
Hari Bercovici United States	19	1.8k 1.3×	1.9k 2.1×	704 0.8×	543 0.7×	141 0.2×	114	3.1k
Albrecht Böttcher Germany	24	1.7k 1.2×	1.3k 1.5×	467 0.5×	1.2k 1.6×	115 0.2×	145	3.1k
Walter Van Assche Belgium	31	2.8k 2.0×	616 0.7×	375 0.4×	943 1.2×	161 0.2×	171	4.1k
Peter Borwein Canada	28	1.6k 1.1×	615 0.7×	203 0.2×	810 1.1×	326 0.5×	179	3.7k
Dėnes Petz Hungary	23	731 0.5×	589 0.7×	568 0.7×	358 0.5×	2.0k 2.9×	75	3.7k
Shmuel Friedland United States	30	500 0.4×	641 0.7×	168 0.2×	1.7k 2.2×	366 0.6×	198	3.5k
Chandler Davis Canada	22	824 0.6×	435 0.5×	174 0.2×	1.1k 1.4×	281 0.4×	78	2.4k
A. M. Vershik Russia	28	443 0.3×	1.5k 1.8×	484 0.6×	478 0.6×	283 0.4×	172	2.7k

Countries citing papers authored by Fumio Hiai

Since Specialization

Citations

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

Fields of papers citing papers by Fumio Hiai

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Fumio Hiai

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

Hiai, Fumio & Minghua Lin. (2016). On an eigenvalue inequality involving the Hadamard product. Linear Algebra and its Applications. 515. 313–320. 8 indexed citations

Franz, Uwe, Fumio Hiai, & Éric Ricard. (2014). Higher order extension of Löwner’s theory: Operator 𝑘-tone functions. Transactions of the American Mathematical Society. 366(6). 3043–3074. 5 indexed citations

Bourin, Jean-Christophe & Fumio Hiai. (2014). Superadditive norm functionals on positive matrices and type II$_1$ factors. arXiv (Cornell University).

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

Hiai, Fumio & Takashi Sano. (2012). Loewner matrices of matrix convex and monotone functions. Journal of the Mathematical Society of Japan. 64(2). 8 indexed citations

Bourin, Jean-Christophe & Fumio Hiai. (2011). Jensen and Minkowski type inequalities for operator means. arXiv (Cornell University). 1 indexed citations

Hiai, Fumio, et al.. (2008). Notes on Microstate Free Entropy of Projections. Publications of the Research Institute for Mathematical Sciences. 44(1). 49–89. 4 indexed citations

Hiai, Fumio & Dėnes Petz. (2006). The Semicircle Law, Free Random Variables and Entropy (Mathematical Surveys & Monographs). American Mathematical Society eBooks. 56 indexed citations

Hiai, Fumio. (2005). FREE TRANSPORTATION COST INEQUALITIES FOR NON-COMMUTATIVE MULTI-VARIABLES. 5 indexed citations

10.

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

11.

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

12.

Hiai, Fumio & Xingzhi Zhan. (2002). Inequalities involving unitarily invariant norms and operator monotone functions. Linear Algebra and its Applications. 341(1-3). 151–169. 27 indexed citations

13.

Hiai, Fumio. (2001). CONCAVITY OF CERTAIN MATRIX TRACE FUNCTIONS. Taiwanese Journal of Mathematics. 5(3). 535–554. 7 indexed citations

14.

Hiai, Fumio, et al.. (1991). Closed Convex Hulls of Unitary Orbits in von Neumann Algebras. Transactions of the American Mathematical Society. 323(1). 1–1. 6 indexed citations

15.

Hiai, Fumio, et al.. (1991). Closed convex hulls of unitary orbits in von Neumann algebras. Transactions of the American Mathematical Society. 323(1). 1–38. 12 indexed citations

16.

Hiai, Fumio. (1991). Minimum index for subfactors and entropy. II. Journal of the Mathematical Society of Japan. 43(2). 16 indexed citations

17.

Hiai, Fumio. (1988). Minimizing Indices of Conditional Expectations onto a Subfactor. Publications of the Research Institute for Mathematical Sciences. 24(4). 673–678. 66 indexed citations

18.

Hiai, Fumio, et al.. (1987). Extensions of nonlinear completely positive maps. Journal of the Mathematical Society of Japan. 39(3). 7 indexed citations

19.

Hiai, Fumio. (1984). Martingale-type convergence of modular automorphism groups on von Neumann algebras. Journal of Functional Analysis. 56(3). 265–278. 6 indexed citations

20.

Hiai, Fumio & Ryōtarō Satō. (1977). Mean ergodic theorems for semigroups of positive linear operators. Journal of the Mathematical Society of Japan. 29(1). 2 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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