Rafael del Río
- Mathematical Physics top 5%
- Statistical and Nonlinear Physics top 5%
- Computational Theory and Mathematics top 5%
- Applied Mathematics top 5%
- Atomic and Molecular Physics, and Optics
- Co-authors
- Barry SimonSvetlana JitomirskayaYoram LastNikolai MakarovGünter StolzMartin RickerBenoît GrébertFritz Gesztesy
- Topics
- Spectral Theory in Mathematical Physics (23 papers)Quantum chaos and dynamical systems (10 papers)Advanced Mathematical Modeling in Engineering (8 papers)
- Journals
- Physical Review LettersCommunications in Mathematical PhysicsJournal of Mathematical Analysis and Applications
- Partner nations
- MexicoUnited StatesUkraine
In The Last Decade
Rafael del Río
27 papers receiving 353 citations
Peers
Comparison fields: 5 of 52
- Mathematical Physics 315
- Statistical and Nonlinear Physics 139
- Computational Theory and Mathematics 132
- Applied Mathematics 85
- Atomic and Molecular Physics, and Optics 78
Countries citing papers authored by Rafael del Río
This map shows the geographic impact of Rafael del Río'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 Rafael del Río with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Rafael del Río more than expected).
Fields of papers citing papers by Rafael del Río
This network shows the impact of papers produced by Rafael del Río. 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 Rafael del Río. The network helps show where Rafael del Río may publish in the future.
Co-authorship network of co-authors of Rafael del Río
This figure shows the co-authorship network connecting the top 25 collaborators of Rafael del Río. A scholar is included among the top collaborators of Rafael del Río 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 Rafael del Río. Rafael del Río is excluded from the visualization to improve readability, since they are connected to all nodes in the network.
All Works
| # | Work | Indexed citations |
|---|---|---|
| 1 | 1 | |
| 2 | 3 | |
| 3 | 1 | |
| 4 | 1 | |
| 5 | 1 | |
| 6 | 2 | |
| 7 | 4 | |
| 8 | 12 | |
| 9 | 2 | |
| 10 | COEXISTENCE OF SPECTRA IN RANK-ONE PERTURBATION PROBLEMS | 5 |
| 11 | 9 | |
| 12 | 5 | |
| 13 | 54 | |
| 14 | 24 | |
| 15 | 22 | |
| 16 | 3 | |
| 17 | 5 | |
| 18 | 3 | |
| 19 | 2 | |
| 20 | 2 |
About Rafael del Río
Rafael del Río is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Statistical and Nonlinear Physics, having authored 28 papers that have together received 384 indexed citations. Recurring topics across this work include Spectral Theory in Mathematical Physics (23 papers), Quantum chaos and dynamical systems (10 papers) and Advanced Mathematical Modeling in Engineering (8 papers). The work is most often cited by research in Mathematical Physics (315 citations), Statistical and Nonlinear Physics (139 citations) and Computational Theory and Mathematics (132 citations). Rafael del Río has collaborated with scholars based in Mexico, United States and Ukraine. Frequent co-authors include Barry Simon, Svetlana Jitomirskaya, Yoram Last, Nikolai Makarov, Günter Stolz, Martin Ricker, Benoît Grébert, Fritz Gesztesy, Alexei Poltoratski and Hermann Schulz‐Baldes. Their work appears in journals such as Physical Review Letters, Communications in Mathematical Physics and Journal of Mathematical Analysis and Applications.
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.