Mark Kac
Impact in
- Statistical and Nonlinear Physics top 0.05%
- Advanced Thermodynamics and Statistical Mechanics
- Quantum chaos and dynamical systems
- Statistical Mechanics and Entropy
- Mathematical Physics top 0.1%
- Stochastic processes and statistical mechanics
- Spectral Theory in Mathematical Physics
Papers in
-
- Advanced Thermodynamics and Statistical Mechanics 18
- stochastic dynamics and bifurcation 5
- Statistical Mechanics and Entropy 4
-
- Spectral Theory in Mathematical Physics 7
- Co-authors
- Gábor Szegő (3 shared papers)G. E. Uhlenbeck (7 shared papers)Ulf Grenander (1 shared paper)Luis A. Santaló (4 shared papers)T. H. Berlin (1 shared paper)G. W. Ford (2 shared papers)Per C. Hemmer (4 shared papers)Peter Mazur (1 shared paper)
- Journals
- Proceedings of the National Academy of Sciences (5 papers)Physics Today (5 papers)Science (5 papers)Physical Review Letters (3 papers)IBM Journal of Research and Development (2 papers)
- Partner nations
- United StatesArgentinaAustralia
In The Last Decade
Mark Kac
127 papers receiving 10.6k citations
Mark Kac's Hit Papers
Peers
Comparison fields: 5 of 184
- Statistical and Nonlinear Physics 3.8k
- Mathematical Physics 2.5k
- Applied Mathematics 1.8k
- Condensed Matter Physics 1.9k
- Statistics and Probability 958
Countries citing papers authored by Mark Kac
This map shows the geographic impact of Mark Kac'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 Mark Kac with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Mark Kac more than expected).
Fields of papers citing papers by Mark Kac
This network shows the impact of papers produced by Mark Kac. 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 Mark Kac. The network helps show where Mark Kac may publish in the future.
Co-authors
The 25 scholars most cited alongside Mark Kac, 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 142 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Toeplitz Forms and Their Applications Hit paper breakdown → | 1958 | 1440 |
| 2 | Can One Hear the Shape of a Drum? Hit paper breakdown → | 1966 | 848 |
| 3 | The Spherical Model of a Ferromagnet Hit paper breakdown → | 1952 | 807 |
| 4 | Integral Geometry and Geometric Probability Hit paper breakdown → | 2004 | 732 |
| 5 | Statistical Mechanics of Assemblies of Coupled Oscillators Hit paper breakdown → | 1965 | 732 |
| 6 | On the van der Waals Theory of the Vapor-Liquid Equilibrium. I. Discussion of a One-Dimensional Model Hit paper breakdown → | 1963 | 662 |
| 7 | 1966 | 600 | |
| 8 | Probability and Related Topics in Physical Sciences Hit paper breakdown → | 1960 | 502 |
| 9 | A stochastic model related to the telegrapher's equation Hit paper breakdown → | 1974 | 454 |
| 10 | FOUNDATIONS OF KINETIC THEORY Hit paper breakdown → | 1956 | 356 |
| 11 | 1951 | 329 | |
| 12 | 1975 | 255 | |
| 13 | 1981 | 249 | |
| 14 | 1977 | 227 | |
| 15 | 1952 | 227 | |
| 16 | 1957 | 191 | |
| 17 | 1984 | 186 | |
| 18 | 1959 | 181 | |
| 19 | 1987 | 166 | |
| 20 | 1955 | 146 |
About Mark Kac
Mark Kac is a scholar working on Statistical and Nonlinear Physics, Mathematical Physics, Condensed Matter Physics, Statistics and Probability and Atomic and Molecular Physics, and Optics, having authored 142 papers that have together received 12.1k indexed citations. Recurring topics across this work include Advanced Thermodynamics and Statistical Mechanics (18 papers), Theoretical and Computational Physics (11 papers), Quantum Mechanics and Applications (7 papers), Spectral Theory in Mathematical Physics (7 papers), Cold Atom Physics and Bose-Einstein Condensates (6 papers), Phase Equilibria and Thermodynamics (5 papers), stochastic dynamics and bifurcation (5 papers) and Statistical Mechanics and Entropy (4 papers). The work is most often cited by research in Statistical and Nonlinear Physics (3.8k citations), Mathematical Physics (2.5k citations), Applied Mathematics (1.8k citations), Condensed Matter Physics (1.9k citations) and Statistics and Probability (958 citations). Mark Kac has collaborated with scholars based in United States, Argentina and Australia. Frequent co-authors include Gábor Szegő, G. E. Uhlenbeck, Ulf Grenander, Luis A. Santaló, T. H. Berlin, G. W. Ford, Per C. Hemmer, Peter Mazur, Pierre van Moerbeke and Rafael D. Benguria. Their work appears in journals such as Proceedings of the National Academy of Sciences, Physics Today, Science, Physical Review Letters and IBM Journal of Research and Development.
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.