Peter D. Hislop
Impact in
- Mathematical Physics top 0.5%
- Spectral Theory in Mathematical Physics
- Numerical methods in inverse problems
- Advanced Mathematical Physics Problems
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- Quantum chaos and dynamical systems
Papers in
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- Spectral Theory in Mathematical Physics 49
- Numerical methods in inverse problems 19
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- Quantum chaos and dynamical systems 19
- Co-authors
- Israel Michael Sigal (3 shared papers)J. M. Combes (9 shared papers)Roberto Longo (1 shared paper)Frédéric Klopp (6 shared papers)Jean‐Michel Combes (4 shared papers)Richard Froese (4 shared papers)Shu Nakamura (4 shared papers)John D. Crawford (2 shared papers)
- Journals
- Communications in Mathematical Physics (5 papers)Reviews in Mathematical Physics (3 papers)Journal of Functional Analysis (3 papers)Annales Henri Poincaré (3 papers)Duke Mathematical Journal (3 papers)
- Partner nations
- United StatesFranceCanada
In The Last Decade
Peter D. Hislop
75 papers receiving 1.5k citations
Peers
Comparison fields: 5 of 65
- Mathematical Physics 1.2k
- Statistical and Nonlinear Physics 504
- Computational Theory and Mathematics 553
- Applied Mathematics 290
- Statistics and Probability 119
Countries citing papers authored by Peter D. Hislop
This map shows the geographic impact of Peter D. Hislop'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 Peter D. Hislop with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Peter D. Hislop more than expected).
Fields of papers citing papers by Peter D. Hislop
This network shows the impact of papers produced by Peter D. Hislop. 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 Peter D. Hislop. The network helps show where Peter D. Hislop may publish in the future.
Co-authors
The 25 scholars most cited alongside Peter D. Hislop, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 78 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | 1996 | 413 | |
| 2 | Introduction to spectral theory : with applications to Schrödinger operators | 1996 | 150 |
| 3 | 1982 | 145 | |
| 4 | 1994 | 85 | |
| 5 | 2007 | 53 | |
| 6 | 2002 | 44 | |
| 7 | 1989 | 38 | |
| 8 | 2001 | 37 | |
| 9 | 1996 | 37 | |
| 10 | 1996 | 32 | |
| 11 | 1991 | 32 | |
| 12 | 1989 | 32 | |
| 13 | 2001 | 30 | |
| 14 | 1995 | 29 | |
| 15 | 2002 | 28 | |
| 16 | Band edge localization and the density of states for acoustic and electromagnetic waves in random media | 1999 | 25 |
| 17 | 2007 | 24 | |
| 18 | 2007 | 19 | |
| 19 | Exponential decay of two-body eigenfunctions: a review. | 2000 | 18 |
| 20 | 1994 | 18 |
About Peter D. Hislop
Peter D. Hislop is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics, Computational Theory and Mathematics, Atomic and Molecular Physics, and Optics and Applied Mathematics, having authored 78 papers that have together received 1.7k indexed citations. Recurring topics across this work include Spectral Theory in Mathematical Physics (49 papers), Numerical methods in inverse problems (19 papers), Quantum chaos and dynamical systems (19 papers), Advanced Mathematical Modeling in Engineering (14 papers), Random Matrices and Applications (12 papers), Geometric Analysis and Curvature Flows (6 papers), Quantum Mechanics and Non-Hermitian Physics (5 papers) and Quantum and electron transport phenomena (5 papers). The work is most often cited by research in Mathematical Physics (1.2k citations), Statistical and Nonlinear Physics (504 citations), Computational Theory and Mathematics (553 citations), Applied Mathematics (290 citations) and Statistics and Probability (119 citations). Peter D. Hislop has collaborated with scholars based in United States, France and Canada. Frequent co-authors include Israel Michael Sigal, J. M. Combes, Roberto Longo, Frédéric Klopp, Jean‐Michel Combes, Richard Froese, Shu Nakamura, John D. Crawford, Éric Soccorsi and André Martínez. Their work appears in journals such as Communications in Mathematical Physics, Reviews in Mathematical Physics, Journal of Functional Analysis, Annales Henri Poincaré and Duke Mathematical Journal.
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.