Mark Kac

22.1k total citations · 9 hit papers
114 papers, 10.0k citations indexed

About

Mark Kac is a scholar working on Statistical and Nonlinear Physics, Mathematical Physics and Atomic and Molecular Physics, and Optics. According to data from OpenAlex, Mark Kac has authored 114 papers receiving a total of 10.0k indexed citations (citations by other indexed papers that have themselves been cited), including 26 papers in Statistical and Nonlinear Physics, 16 papers in Mathematical Physics and 15 papers in Atomic and Molecular Physics, and Optics. Recurrent topics in Mark Kac's work include Advanced Thermodynamics and Statistical Mechanics (13 papers), Theoretical and Computational Physics (10 papers) and Spectral Theory in Mathematical Physics (7 papers). Mark Kac is often cited by papers focused on Advanced Thermodynamics and Statistical Mechanics (13 papers), Theoretical and Computational Physics (10 papers) and Spectral Theory in Mathematical Physics (7 papers). Mark Kac collaborates with scholars based in United States, Australia and France. Mark Kac's co-authors include Gábor Szegő, Ulf Grenander, G. E. Uhlenbeck, T. H. Berlin, Luis A. Santaló, G. W. Ford, P. C. Hemmer, P. Mazur, Pierre van Moerbeke and Rafael D. Benguria and has published in prestigious journals such as Science, Proceedings of the National Academy of Sciences and Physical Review Letters.

In The Last Decade

Mark Kac

106 papers receiving 8.8k citations

Hit Papers

Toeplitz Forms and Their ... 1952 2026 1976 2001 1958 1952 1966 1965 2004 400 800 1.2k

Author Peers

Peers are selected by citation overlap in the author's most active subfields. citations · hero ref

Author Last Decade Papers Cites
Mark Kac 3.2k 2.6k 2.0k 1.8k 1.4k 114 10.0k
I.M. RYZHIK 2.4k 0.7× 4.8k 1.9× 1.2k 0.6× 941 0.5× 1.4k 1.0× 6 19.7k
I. S. Gradshteyn 4.3k 1.3× 8.9k 3.4× 1.9k 1.0× 1.8k 1.0× 2.3k 1.7× 8 32.0k
Alan Jeffrey 2.5k 0.8× 3.8k 1.5× 1.2k 0.6× 634 0.4× 1.5k 1.1× 149 15.3k
David Ruelle 10.8k 3.4× 1.8k 0.7× 6.4k 3.2× 3.1k 1.7× 1.0k 0.8× 186 20.5k
C. Itzykson 3.3k 1.0× 3.9k 1.5× 1.7k 0.8× 2.6k 1.5× 385 0.3× 99 12.0k
E. P. Wigner 4.0k 1.2× 8.1k 3.1× 1.3k 0.6× 840 0.5× 594 0.4× 134 14.0k
Tai Tsun Wu 2.6k 0.8× 5.4k 2.1× 1.4k 0.7× 3.0k 1.7× 454 0.3× 383 14.2k
Richard A. Silverman 944 0.3× 1.7k 0.7× 1.8k 0.9× 626 0.4× 2.9k 2.1× 42 9.5k
H. Bateman 1.8k 0.6× 2.2k 0.9× 1.6k 0.8× 298 0.2× 3.1k 2.3× 10 9.2k
Ya. G. Sinaǐ 3.0k 0.9× 608 0.2× 4.0k 2.0× 1.2k 0.7× 1.1k 0.8× 121 7.2k

Countries citing papers authored by Mark Kac

Since Specialization
Citations

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

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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-authorship network of co-authors of Mark Kac

This figure shows the co-authorship network connecting the top 25 collaborators of Mark Kac. A scholar is included among the top collaborators of Mark Kac based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Mark Kac. Mark Kac is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Iranpour, R., et al.. (1988). Basic stochastic processes : the Mark Kac lectures. 12 indexed citations
2.
Kac, Mark & Per H. Andersen. (1988). Enigmas of Chance: An Autobiography. Physics Today. 41(7). 74–74. 2 indexed citations
3.
Gaveau, Bernard & Mark Kac. (1986). A probabilistic formula for the quantum N-body problem and the non-linear Schrödinger equation in operator algebra. Journal of Functional Analysis. 66(3). 308–322. 3 indexed citations
4.
Kac, Mark & Richard Askey. (1984). Gabor Szego Collected Papers.. American Mathematical Monthly. 91(9). 591–591. 1 indexed citations
5.
Kac, Mark. (1983). What Is Random. American Scientist. 71(4). 405–405. 24 indexed citations
6.
Kac, Mark, et al.. (1983). Letters to the Editor. American Mathematical Monthly. 90(7). 502–502. 1 indexed citations
7.
Gutkin, Eugène & Mark Kac. (1983). Propagation of Chaos and the Burgers Equation. SIAM Journal on Applied Mathematics. 43(4). 971–980. 21 indexed citations
8.
Kac, Mark, Kenneth Bacławski, & M. D. Donsker. (1979). Mark Kac : probability, number theory, and statistical physics : selected papers. MIT Press eBooks. 7 indexed citations
9.
McEliece, Robert J. & Mark Kac. (1977). The theory of information and coding : a mathematical framework for communication. 54 indexed citations
10.
Kac, Mark & Pierre van Moerbeke. (1975). On an explicitly soluble system of nonlinear differential equations related to certain toda lattices. Advances in Mathematics. 16(2). 160–169. 220 indexed citations
11.
Kac, Mark. (1970). Aspects probabilistes de la théorie du potentiel. Presses de l’Université de Montréal eBooks. 4 indexed citations
12.
Kac, Mark. (1959). On the Partition Function of a One-Dimensional Gas. The Physics of Fluids. 2(1). 8–12. 172 indexed citations
14.
Kac, Mark. (1957). Some remarks on stable processes. SPIRE - Sciences Po Institutional REpository. 3 indexed citations
15.
Kac, Mark & R. Salem. (1957). On a Series of Cosecants. Indagationes Mathematicae (Proceedings). 60. 265–267. 1 indexed citations
16.
Kac, Mark. (1956). Book Review: Methods of theoretical physics. Bulletin of the American Mathematical Society. 62(1). 52–55. 5 indexed citations
17.
Kac, Mark. (1955). A Remark On The Preceding Paper By A. Rényi. Publications de l Institut Mathematique. 8(14). 163–165. 2 indexed citations
18.
Kac, Mark. (1954). Toeplitz matrices, translation kernels and a related problem in probability theory. Duke Mathematical Journal. 21(3). 122 indexed citations
19.
Kac, Mark, et al.. (1953). On the Eigen-Values of Certain Hermitian Forms. Indiana University Mathematics Journal. 2(4). 767–800. 123 indexed citations
20.
Chung, Kai Lai, Wolfgang Fuchs, Paul Erdős, Mark Kac, & M. D. Donsker. (1951). Four papers on probability. American Mathematical Society eBooks. 6 indexed citations

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.

Explore authors with similar magnitude of impact

Rankless by CCL
2026