Fumio Hiai
- Applied Mathematics top 0.2%
- Mathematical Physics top 1%
- Statistics and Probability top 0.5%
- Computational Theory and Mathematics top 0.5%
- Artificial Intelligence top 2%
- Co-authors
- Dėnes PetzHisaharu UmegakiTsuyoshi AndôHideki KosakiMilán MosonyiMakoto TsukadaMasanori OhyaCédric Bény
- Topics
- Mathematical Inequalities and Applications (43 papers)Matrix Theory and Algorithms (24 papers)Advanced Operator Algebra Research (23 papers)
In The Last Decade
Fumio Hiai
95 papers receiving 2.7k citations
Hit Papers
Peers
Comparison fields: 5 of 75
- Applied Mathematics 1.4k
- Mathematical Physics 871
- Statistics and Probability 862
- Computational Theory and Mathematics 763
- Artificial Intelligence 665
Countries citing papers authored by Fumio Hiai
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
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
| # | Work | Indexed citations |
|---|---|---|
| 1 | 8 | |
| 2 | 5 | |
| 3 | Superadditive norm functionals on positive matrices and type II$_1$ factors | 0 |
| 4 | 15 | |
| 5 | 8 | |
| 6 | Jensen and Minkowski type inequalities for operator means | 1 |
| 7 | 4 | |
| 8 | The Semicircle Law, Free Random Variables and Entropy (Mathematical Surveys & Monographs) | 56 |
| 9 | FREE TRANSPORTATION COST INEQUALITIES FOR NON-COMMUTATIVE MULTI-VARIABLES | 5 |
| 10 | 6 | |
| 11 | Free relative entropy for measures and a corresponding perturbation theory | 4 |
| 12 | 27 | |
| 13 | 7 | |
| 14 | 12 | |
| 15 | 6 | |
| 16 | 16 | |
| 17 | 66 | |
| 18 | 7 | |
| 19 | 6 | |
| 20 | 2 |
About Fumio Hiai
Fumio Hiai is a scholar working on Applied Mathematics, Mathematical Physics and Algebra and Number Theory, having authored 105 papers that have together received 3.1k indexed citations. Recurring topics across this work include Mathematical Inequalities and Applications (43 papers), Matrix Theory and Algorithms (24 papers) and Advanced Operator Algebra Research (23 papers). The work is most often cited by research in Applied Mathematics (1.4k citations), Statistics and Probability (862 citations) and Mathematical Physics (871 citations). Fumio Hiai has collaborated with scholars based in Japan, Hungary and Singapore. Frequent co-authors include Dėnes Petz, Hisaharu Umegaki, Tsuyoshi Andô, Hideki Kosaki, Milán Mosonyi, Makoto Tsukada, Masanori Ohya, Cédric Bény, Masaki Izumi and Xingzhi Zhan. Their work appears in journals such as IEEE Transactions on Information Theory, Communications in Mathematical Physics and Lecture notes in mathematics.
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.