Fumio Hiroshima

1.3k total citations
69 papers, 612 citations indexed

About

Fumio Hiroshima is a scholar working on Mathematical Physics, Atomic and Molecular Physics, and Optics and Statistical and Nonlinear Physics. According to data from OpenAlex, Fumio Hiroshima has authored 69 papers receiving a total of 612 indexed citations (citations by other indexed papers that have themselves been cited), including 48 papers in Mathematical Physics, 31 papers in Atomic and Molecular Physics, and Optics and 25 papers in Statistical and Nonlinear Physics. Recurrent topics in Fumio Hiroshima's work include Spectral Theory in Mathematical Physics (45 papers), Quantum chaos and dynamical systems (18 papers) and Quantum Mechanics and Non-Hermitian Physics (11 papers). Fumio Hiroshima is often cited by papers focused on Spectral Theory in Mathematical Physics (45 papers), Quantum chaos and dynamical systems (18 papers) and Quantum Mechanics and Non-Hermitian Physics (11 papers). Fumio Hiroshima collaborates with scholars based in Japan, Germany and United Kingdom. Fumio Hiroshima's co-authors include József Lőrinczi, Herbert Spohn, Volker Betz, Masao Hirokawa, Takashi Ichinose, R. A. Minlos, Akito Suzuki, Christian Gérard, Zahriddin Muminov and Massimiliano Gubinelli and has published in prestigious journals such as Communications in Mathematical Physics, Journal of Mathematical Analysis and Applications and Transactions of the American Mathematical Society.

In The Last Decade

Fumio Hiroshima

63 papers receiving 569 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Fumio Hiroshima Japan 15 471 268 262 98 58 69 612
S. Albeverio Germany 13 486 1.0× 261 1.0× 289 1.1× 123 1.3× 27 0.5× 42 731
József Lőrinczi United Kingdom 13 357 0.8× 138 0.5× 96 0.4× 58 0.6× 28 0.5× 40 461
Jan Dereziński Poland 16 633 1.3× 415 1.5× 470 1.8× 122 1.2× 88 1.5× 59 979
D. Testard France 14 348 0.7× 263 1.0× 239 0.9× 58 0.6× 34 0.6× 24 711
Thomas Chen United States 13 345 0.7× 194 0.7× 298 1.1× 60 0.6× 29 0.5× 35 457
Asao Arai Japan 14 342 0.7× 259 1.0× 360 1.4× 93 0.9× 64 1.1× 67 597
Volker Betz Germany 12 201 0.4× 78 0.3× 83 0.3× 34 0.3× 62 1.1× 34 335
J. V. Pulè Ireland 13 177 0.4× 241 0.9× 398 1.5× 19 0.2× 70 1.2× 51 576
Yun Gang Lu Italy 11 208 0.4× 157 0.6× 356 1.4× 57 0.6× 268 4.6× 60 634
Vladimir Georgescu France 16 696 1.5× 222 0.8× 192 0.7× 225 2.3× 19 0.3× 34 847

Countries citing papers authored by Fumio Hiroshima

Since Specialization
Citations

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

Fields of papers citing papers by Fumio Hiroshima

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Fumio Hiroshima

This figure shows the co-authorship network connecting the top 25 collaborators of Fumio Hiroshima. A scholar is included among the top collaborators of Fumio Hiroshima 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 Hiroshima. Fumio Hiroshima 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.
Ammari, Zied, et al.. (2025). Towards a derivation of Classical ElectroDynamics of charges and fields from QED. Annales de l’institut Fourier. 76(2). 701–787.
2.
Hiroshima, Fumio & Tomoyuki Shirai. (2025). Fiber decomposition of non-commutative harmonic oscillators by two-photon quantum Rabi models. Journal of Mathematical Physics. 66(3). 1 indexed citations
3.
Hiroshima, Fumio & Tomoyuki Shirai. (2025). Spectral zeta function and ground state of quantum Rabi model. Journal of Functional Analysis. 289(3). 110901–110901. 2 indexed citations
4.
Hiroshima, Fumio, et al.. (2024). On the Spectrum of the Discrete Schrödinger Operator of a Rank-Two Perturbation on $$\mathbb{Z}$$. Lobachevskii Journal of Mathematics. 45(10). 4874–4887.
5.
Hiroshima, Fumio, et al.. (2021). Spectrum of the semi-relativistic Pauli–Fierz model II. Journal of Spectral Theory. 11(4). 1779–1830.
6.
Hiroshima, Fumio, Takashi Ichinose, & József Lőrinczi. (2017). Kato's Inequality for Magnetic Relativistic Schrödinger Operators. Publications of the Research Institute for Mathematical Sciences. 53(1). 79–117. 7 indexed citations
7.
Hiroshima, Fumio, et al.. (2015). Enhanced Binding of an $N$-particle System Interacting with a Scalar Field II. Relativistic Version. Publications of the Research Institute for Mathematical Sciences. 51(4). 655–690. 2 indexed citations
8.
Gubinelli, Massimiliano, Fumio Hiroshima, & József Lőrinczi. (2014). Ultraviolet renormalization of the Nelson Hamiltonian through functional integration. Journal of Functional Analysis. 267(9). 3125–3153. 12 indexed citations
9.
Hiroshima, Fumio. (2014). Functional integral approach to semi-relativistic Pauli–Fierz models. Advances in Mathematics. 259. 784–840. 11 indexed citations
10.
Hiroshima, Fumio, et al.. (2012). A probabilistic representation of the ground state expectation of fractional powers of the boson number operator. Journal of Mathematical Analysis and Applications. 395(2). 437–447. 2 indexed citations
11.
Gérard, Christian, et al.. (2011). Absence of ground state for the Nelson model on static space–times. Journal of Functional Analysis. 262(1). 273–299. 4 indexed citations
12.
Hara, Takashi, et al.. (2011). [030] Mathematical Quantum Field Theory and Renormalization Theory. Kyushu University Institutional Repository (QIR) (Kyushu University). 30. 1–206.
13.
Gérard, Christian, et al.. (2010). Infrared and ultraviolet problem for the Nelson model with variable coefficients. arXiv (Cornell University). 1 indexed citations
14.
Hiroshima, Fumio & József Lőrinczi. (2008). Functional integral representations of the Pauli–Fierz model with spin 1/2. Journal of Functional Analysis. 254(8). 2127–2185. 13 indexed citations
15.
Hiroshima, Fumio. (2005). Multiplicity of ground states in quantum field models: applications of asymptotic fields. Journal of Functional Analysis. 224(2). 431–470. 14 indexed citations
16.
Arai, Asao, Masao Hirokawa, & Fumio Hiroshima. (1999). On the Absence of Eigenvectors of Hamiltonians in a Class of Massless Quantum Field Models without Infrared Cutoff. Journal of Functional Analysis. 168(2). 470–497. 2 indexed citations
17.
Hiroshima, Fumio. (1998). Uniqueness of the ground state of a model in quantum electrodynamics A functional integral approach. Hokkaido University Collection of Scholarly and Academic Papers (Hokkaido University). 429. 1–32. 2 indexed citations
18.
Hiroshima, Fumio. (1998). Ground states of a model in quantum electrodynamics. Preprint Series of Department of Mathematics, Hokkaido University. 428(3). 1–48. 2 indexed citations
19.
Hiroshima, Fumio. (1997). Scaling limit of a model of quantum electrodynamics with $N$-nonrelativistic particles. Kyoto University Research Information Repository (Kyoto University). 982. 52–67. 1 indexed citations
20.
Hiroshima, Fumio. (1995). Functional Integral Representation of a Model in QED. Hokkaido University Collection of Scholarly and Academic Papers (Hokkaido University). 291. 1–48. 4 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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