Ted Petrie
Impact in
- Signal Processing top 0.5%
- Speech and Audio Processing
- Music and Audio Processing
- Blind Source Separation Techniques
- Artificial Intelligence top 0.5%
- Bayesian Methods and Mixture Models
- Speech Recognition and Synthesis
- Natural Language Processing Techniques
- Algorithms and Data Compression
Papers in
-
- Algebraic Geometry and Number Theory 19
- Algebraic structures and combinatorial models 11
- Geometric and Algebraic Topology 7
- Advanced Differential Equations and Dynamical Systems 6
-
- Homotopy and Cohomology in Algebraic Topology 22
- Advanced Algebra and Geometry 11
- Co-authors
- Leonard E. Baum (2 shared papers)Norman Weiß (1 shared paper)J.D. Randall (6 shared papers)Tammo tom Dieck (5 shared papers)Karl Heinz Dovermann (5 shared papers)Mikiya Masuda (7 shared papers)Hanspeter Kraft (2 shared papers)William Browder (2 shared papers)
- Journals
- Topology (7 papers)Bulletin of the American Mathematical Society (6 papers)Annals of Mathematics (4 papers)Inventiones mathematicae (4 papers)Proceedings of the National Academy of Sciences (4 papers)
- Partner nations
- United StatesJapanNetherlands
In The Last Decade
Ted Petrie
52 papers receiving 4.6k citations
Ted Petrie's Hit Papers
Peers
Comparison fields: 5 of 182
- Signal Processing 966
- Artificial Intelligence 2.2k
- Geometry and Topology 471
- Statistics and Probability 429
- Mathematical Physics 426
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 57 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 | 2823 |
| 2 | Statistical Inference for Probabilistic Functions of Finite State Markov Chains Hit paper breakdown → | 1966 | 1692 |
| 3 | 1969 | 101 | |
| 4 | 1989 | 35 | |
| 5 | 1972 | 34 | |
| 6 | Transformation groups on manifolds | 1984 | 33 |
| 7 | 1982 | 31 | |
| 8 | G-Surgery II | 1982 | 23 |
| 9 | 1990 | 22 | |
| 10 | 1970 | 21 | |
| 11 | 1982 | 21 | |
| 12 | 1971 | 18 | |
| 13 | 1983 | 17 | |
| 14 | 1967 | 17 | |
| 15 | 1996 | 16 | |
| 16 | 1971 | 16 | |
| 17 | 1973 | 16 | |
| 18 | 1982 | 16 | |
| 19 | 1978 | 15 | |
| 20 | 1971 | 15 |
About Ted Petrie
Ted Petrie is a scholar working on Geometry and Topology, Mathematical Physics, Algebra and Number Theory, Computational Theory and Mathematics and Discrete Mathematics and Combinatorics, having authored 57 papers that have together received 5.2k indexed citations. Recurring topics across this work include Homotopy and Cohomology in Algebraic Topology (22 papers), Algebraic Geometry and Number Theory (19 papers), Advanced Algebra and Geometry (11 papers), Algebraic structures and combinatorial models (11 papers), Advanced Topics in Algebra (10 papers), Geometric and Algebraic Topology (7 papers), Advanced Differential Equations and Dynamical Systems (6 papers) and Finite Group Theory Research (5 papers). The work is most often cited by research in Signal Processing (966 citations), Artificial Intelligence (2.2k citations), Geometry and Topology (471 citations), Statistics and Probability (429 citations) and Mathematical Physics (426 citations). Ted Petrie has collaborated with scholars based in United States, Japan and Netherlands. Frequent co-authors include Leonard E. Baum, Norman Weiß, J.D. Randall, Tammo tom Dieck, Karl Heinz Dovermann, Mikiya Masuda, Hanspeter Kraft, William Browder, Gerald W. Schwarz and Robert Oliver. Their work appears in journals such as Topology, Bulletin of the American Mathematical Society, Annals of Mathematics, 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.