M. Shub
Impact in
- Mathematical Physics top 1%
- Mathematical Dynamics and Fractals
- Computational Theory and Mathematics top 0.5%
- Computability, Logic, AI Algorithms
- Polynomial and algebraic computation
- Cellular Automata and Applications
- Complexity and Algorithms in Graphs
Papers in
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- Mathematical Dynamics and Fractals 18
-
- Computability, Logic, AI Algorithms 7
- Polynomial and algebraic computation 5
- Co-authors
- Lenore Blum (9 shared papers)Steve Smale (9 shared papers)Manuel Blum (1 shared paper)S. Smale (4 shared papers)Charles Pugh (5 shared papers)Dennis Sullivan (3 shared papers)Jean‐Pierre Dedieu (7 shared papers)Jacob Palis (2 shared papers)
- Journals
- Lecture notes in mathematics (6 papers)Topology (4 papers)Mathematics of Computation (3 papers)Ergodic Theory and Dynamical Systems (2 papers)Theoretical Computer Science (2 papers)
- Partner nations
- United StatesFranceSpain
In The Last Decade
M. Shub
46 papers receiving 2.5k citations
M. Shub's Hit Papers
Peers
Comparison fields: 5 of 97
- Mathematical Physics 801
- Computational Theory and Mathematics 1.3k
- Geometry and Topology 508
- Numerical Analysis 232
- Statistical and Nonlinear Physics 484
Countries citing papers authored by M. Shub
This map shows the geographic impact of M. 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 M. Shub with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites M. Shub more than expected).
Fields of papers citing papers by M. Shub
This network shows the impact of papers produced by M. 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 M. Shub. The network helps show where M. Shub may publish in the future.
Co-authors
The 23 scholars most cited alongside M. 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 47 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | On a theory of computation and complexity over the real numbers: 𝑁𝑃- completeness, recursive functions and universal machines Hit paper breakdown → | 1989 | 739 |
| 2 | A Simple Unpredictable Pseudo-Random Number Generator Hit paper breakdown → | 1986 | 707 |
| 3 | 1970 | 139 | |
| 4 | 1970 | 110 | |
| 5 | 1974 | 92 | |
| 6 | 1994 | 91 | |
| 7 | 1974 | 85 | |
| 8 | The mathematics of numerical analysis | 1996 | 71 |
| 9 | 1975 | 70 | |
| 10 | 1986 | 69 | |
| 11 | 1975 | 69 | |
| 12 | 1975 | 62 | |
| 13 | 1999 | 58 | |
| 14 | 1985 | 56 | |
| 15 | 1971 | 50 | |
| 16 | 1988 | 37 | |
| 17 | 1996 | 32 | |
| 18 | 1994 | 29 | |
| 19 | 1975 | 26 | |
| 20 | 2000 | 26 |
About M. Shub
M. Shub is a scholar working on Mathematical Physics, Computational Theory and Mathematics, Numerical Analysis, Geometry and Topology and Statistical and Nonlinear Physics, having authored 47 papers that have together received 2.9k indexed citations. Recurring topics across this work include Mathematical Dynamics and Fractals (18 papers), Computability, Logic, AI Algorithms (7 papers), Quantum chaos and dynamical systems (6 papers), Advanced Optimization Algorithms Research (6 papers), Iterative Methods for Nonlinear Equations (5 papers), Polynomial and algebraic computation (5 papers), Advanced Differential Equations and Dynamical Systems (4 papers) and Mathematics and Applications (4 papers). The work is most often cited by research in Mathematical Physics (801 citations), Computational Theory and Mathematics (1.3k citations), Geometry and Topology (508 citations), Numerical Analysis (232 citations) and Statistical and Nonlinear Physics (484 citations). M. Shub has collaborated with scholars based in United States, France and Spain. Frequent co-authors include Lenore Blum, Steve Smale, Manuel Blum, S. Smale, Charles Pugh, Dennis Sullivan, Jean‐Pierre Dedieu, Jacob Palis, Morris W. Hirsch and Zbigniew Nitecki. Their work appears in journals such as Lecture notes in mathematics, Topology, Mathematics of Computation, Ergodic Theory and Dynamical Systems and Theoretical Computer Science.
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.