Ted Petrie
Impact in
- Signal Processing top 0.5%
- Speech and Audio Processing
- Music and Audio Processing
- Blind Source Separation Techniques
- Geometry and Topology top 1%
Papers in
-
- Algebraic Geometry and Number Theory 23
- Algebraic structures and combinatorial models 12
- Geometric and Algebraic Topology 10
- Advanced Differential Equations and Dynamical Systems 8
-
- Homotopy and Cohomology in Algebraic Topology 29
- Advanced Algebra and Geometry 12
- Co-authors
- Leonard E. Baum (2 shared papers)Norman Weiß (1 shared paper)Tammo tom Dieck (8 shared papers)Karl Heinz Dovermann (6 shared papers)J.D. Randall (6 shared papers)Mikiya Masuda (8 shared papers)William Browder (3 shared papers)Hanspeter Kraft (3 shared papers)
- Journals
- Lecture notes in mathematics (10 papers)Bulletin of the American Mathematical Society (9 papers)Topology (7 papers)Inventiones mathematicae (4 papers)Proceedings of the National Academy of Sciences (4 papers)
- Partner nations
- United StatesJapanGermany
In The Last Decade
Ted Petrie
65 papers receiving 5.3k citations
Ted Petrie's Hit Papers
Peers
Comparison fields: 5 of 184
- Signal Processing 1.1k
- Geometry and Topology 679
- Artificial Intelligence 2.5k
- Mathematical Physics 634
- Statistics and Probability 456
Countries citing papers authored by Ted Petrie
This map shows the geographic impact of Ted Petrie'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 Ted Petrie with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Ted Petrie more than expected).
Fields of papers citing papers by Ted Petrie
This network shows the impact of papers produced by Ted Petrie. 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 Ted Petrie. The network helps show where Ted Petrie may publish in the future.
Co-authors
The 12 scholars most cited alongside Ted Petrie, 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 71 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | A Maximization Technique Occurring in the Statistical Analysis of Probabilistic Functions of Markov Chains Hit paper breakdown → | 1970 | 3077 |
| 2 | Statistical Inference for Probabilistic Functions of Finite State Markov Chains Hit paper breakdown → | 1966 | 1878 |
| 3 | 1969 | 101 | |
| 4 | 1989 | 40 | |
| 5 | Transformation groups on manifolds | 1984 | 39 |
| 6 | 1982 | 37 | |
| 7 | 1972 | 36 | |
| 8 | G-Surgery II | 1982 | 33 |
| 9 | 1982 | 31 | |
| 10 | 1970 | 29 | |
| 11 | 1971 | 25 | |
| 12 | 1978 | 25 | |
| 13 | 1990 | 24 | |
| 14 | 1983 | 23 | |
| 15 | 1979 | 23 | |
| 16 | 1971 | 22 | |
| 17 | 1996 | 21 | |
| 18 | 1971 | 21 | |
| 19 | 1982 | 20 | |
| 20 | 1982 | 20 |
About Ted Petrie
Ted Petrie is a scholar working on Geometry and Topology, Mathematical Physics, Algebra and Number Theory, Discrete Mathematics and Combinatorics and Computational Theory and Mathematics, having authored 71 papers that have together received 5.9k indexed citations. Recurring topics across this work include Homotopy and Cohomology in Algebraic Topology (29 papers), Algebraic Geometry and Number Theory (23 papers), Advanced Algebra and Geometry (12 papers), Advanced Topics in Algebra (12 papers), Algebraic structures and combinatorial models (12 papers), Geometric and Algebraic Topology (10 papers), Advanced Differential Equations and Dynamical Systems (8 papers) and Finite Group Theory Research (5 papers). The work is most often cited by research in Signal Processing (1.1k citations), Geometry and Topology (679 citations), Artificial Intelligence (2.5k citations), Mathematical Physics (634 citations) and Statistics and Probability (456 citations). Ted Petrie has collaborated with scholars based in United States, Japan and Germany. Frequent co-authors include Leonard E. Baum, Norman Weiß, Tammo tom Dieck, Karl Heinz Dovermann, J.D. Randall, Mikiya Masuda, William Browder, Hanspeter Kraft, Gerald W. Schwarz and Robert Oliver. Their work appears in journals such as Lecture notes in mathematics, Bulletin of the American Mathematical Society, Topology, Inventiones mathematicae and Proceedings of the National Academy of Sciences.
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.