Grant Cairns
Impact in
- Mathematical Physics top 1%
- Mathematical Dynamics and Fractals
- Geometry and Topology top 1%
- Advanced Differential Equations and Dynamical Systems
- Geometric and Algebraic Topology
- Advanced Topology and Set Theory
Papers in
-
- Mathematics and Applications 11
- Geometry and complex manifolds 7
-
- Mathematical Dynamics and Fractals 11
- Co-authors
- John Banks (2 shared papers)James K. Brooks (2 shared papers)P. J. Stacey (2 shared papers)Gary Davis (2 shared papers)Daniel M. Elton (2 shared papers)Yuri Nikolayevsky (9 shared papers)John Bamberg (2 shared papers)R. W. Sharpe (1 shared paper)
- Journals
- Discrete Mathematics (5 papers)Proceedings of the American Mathematical Society (4 papers)Discrete & Computational Geometry (2 papers)Tohoku Mathematical Journal (1 paper)Mathematische Zeitschrift (1 paper)
- Partner nations
- AustraliaCanadaUnited States
In The Last Decade
Grant Cairns
50 papers receiving 985 citations
Grant Cairns's Hit Papers
Peers
Comparison fields: 5 of 73
- Mathematical Physics 639
- Geometry and Topology 407
- Statistical and Nonlinear Physics 450
- Computer Graphics and Computer-Aided Design 59
- Applied Mathematics 168
Countries citing papers authored by Grant Cairns
This map shows the geographic impact of Grant Cairns'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 Grant Cairns with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Grant Cairns more than expected).
Fields of papers citing papers by Grant Cairns
This network shows the impact of papers produced by Grant Cairns. 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 Grant Cairns. The network helps show where Grant Cairns may publish in the future.
Co-authors
The 13 scholars most cited alongside Grant Cairns, 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 60 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | On Devaney's Definition of Chaos Hit paper breakdown → | 1992 | 474 |
| 2 | 1992 | 280 | |
| 3 | 1993 | 36 | |
| 4 | 2000 | 28 | |
| 5 | 2007 | 24 | |
| 6 | 1996 | 21 | |
| 7 | 1994 | 21 | |
| 8 | 1996 | 16 | |
| 9 | 2003 | 16 | |
| 10 | 1993 | 15 | |
| 11 | 2003 | 14 | |
| 12 | 1986 | 13 | |
| 13 | 1986 | 12 | |
| 14 | 1997 | 11 | |
| 15 | 2008 | 10 | |
| 16 | 2008 | 8 | |
| 17 | 1997 | 8 | |
| 18 | 2011 | 7 | |
| 19 | 1997 | 6 | |
| 20 | 1990 | 6 |
About Grant Cairns
Grant Cairns is a scholar working on Geometry and Topology, Mathematical Physics, Algebra and Number Theory, Applied Mathematics and Computer Vision and Pattern Recognition, having authored 60 papers that have together received 1.1k indexed citations. Recurring topics across this work include Mathematical Dynamics and Fractals (11 papers), Mathematics and Applications (11 papers), Advanced Topics in Algebra (10 papers), Geometric Analysis and Curvature Flows (9 papers), Artificial Intelligence in Games (7 papers), History and Theory of Mathematics (7 papers), Computational Geometry and Mesh Generation (7 papers) and Geometry and complex manifolds (7 papers). The work is most often cited by research in Mathematical Physics (639 citations), Geometry and Topology (407 citations), Statistical and Nonlinear Physics (450 citations), Computer Graphics and Computer-Aided Design (59 citations) and Applied Mathematics (168 citations). Grant Cairns has collaborated with scholars based in Australia, Canada and United States. Frequent co-authors include John Banks, James K. Brooks, P. J. Stacey, Gary Davis, Daniel M. Elton, Yuri Nikolayevsky, John Bamberg, R. W. Sharpe, Étienne Ghys and Tamás Lengyel. Their work appears in journals such as Discrete Mathematics, Proceedings of the American Mathematical Society, Discrete & Computational Geometry, Tohoku Mathematical Journal and Mathematische Zeitschrift.
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.