Michael Shub
Impact in
- Mathematical Physics top 0.1%
- Mathematical Dynamics and Fractals
- Geometry and Topology top 0.2%
- Advanced Differential Equations and Dynamical Systems
- Geometric and Algebraic Topology
Papers in
-
- Mathematical Dynamics and Fractals 39
-
- Advanced Differential Equations and Dynamical Systems 14
- Co-authors
- Charles Chapman Pugh (21 shared papers)Steve Smale (21 shared papers)Morris W. Hirsch (7 shared papers)Felipe Cucker (14 shared papers)Lenore Blum (10 shared papers)Amie Wilkinson (7 shared papers)Nimrod Megiddo (1 shared paper)Eric Kostlan (2 shared papers)
- Journals
- Foundations of Computational Mathematics (8 papers)Lecture notes in mathematics (6 papers)Journal of Complexity (6 papers)Inventiones mathematicae (5 papers)Transactions of the American Mathematical Society (5 papers)
- Partner nations
- United StatesSpainHong Kong
In The Last Decade
Michael Shub
96 papers receiving 4.2k citations
Michael Shub's Hit Papers
Peers
Comparison fields: 5 of 111
- Mathematical Physics 2.4k
- Geometry and Topology 1.7k
- Statistical and Nonlinear Physics 1.7k
- Numerical Analysis 522
- Computational Mathematics 55
Countries citing papers authored by Michael Shub
This map shows the geographic impact of Michael Shub'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 Michael Shub with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Michael Shub more than expected).
Fields of papers citing papers by Michael Shub
This network shows the impact of papers produced by Michael Shub. 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 Michael Shub. The network helps show where Michael Shub may publish in the future.
Co-authors
The 25 scholars most cited alongside Michael Shub, 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 104 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Invariant Manifolds Hit paper breakdown → | 1977 | 989 |
| 2 | Complexity and Real Computation Hit paper breakdown → | 1998 | 608 |
| 3 | Global Stability of Dynamical Systems Hit paper breakdown → | 1987 | 530 |
| 4 | 1969 | 223 | |
| 5 | 1993 | 178 | |
| 6 | 1993 | 166 | |
| 7 | 1993 | 137 | |
| 8 | 1994 | 112 | |
| 9 | 1996 | 110 | |
| 10 | 1989 | 98 | |
| 11 | 1989 | 96 | |
| 12 | 2000 | 93 | |
| 13 | 1985 | 83 | |
| 14 | 1997 | 75 | |
| 15 | 1970 | 74 | |
| 16 | 1972 | 72 | |
| 17 | 1994 | 70 | |
| 18 | 1983 | 65 | |
| 19 | 1997 | 62 | |
| 20 | 2000 | 59 |
About Michael Shub
Michael Shub is a scholar working on Mathematical Physics, Geometry and Topology, Computational Theory and Mathematics, Statistical and Nonlinear Physics and Theoretical Computer Science, having authored 104 papers that have together received 4.9k indexed citations. Recurring topics across this work include Mathematical Dynamics and Fractals (39 papers), Polynomial and algebraic computation (16 papers), Quantum chaos and dynamical systems (15 papers), Advanced Differential Equations and Dynamical Systems (14 papers), Advanced Optimization Algorithms Research (7 papers), History and Theory of Mathematics (6 papers), Chaos control and synchronization (6 papers) and Computability, Logic, AI Algorithms (6 papers). The work is most often cited by research in Mathematical Physics (2.4k citations), Geometry and Topology (1.7k citations), Statistical and Nonlinear Physics (1.7k citations), Numerical Analysis (522 citations) and Computational Mathematics (55 citations). Michael Shub has collaborated with scholars based in United States, Spain and Hong Kong. Frequent co-authors include Charles Chapman Pugh, Steve Smale, Morris W. Hirsch, Felipe Cucker, Lenore Blum, Amie Wilkinson, Nimrod Megiddo, Eric Kostlan, Alan S. Edelman and Dennis Sullivan. Their work appears in journals such as Foundations of Computational Mathematics, Lecture notes in mathematics, Journal of Complexity, Inventiones mathematicae and Transactions of the American Mathematical Society.
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.