Mark Kac

22.5k citations
116 papers · 10.1k · 9 hit papers · h-index 35

Impact in

    • Advanced Thermodynamics and Statistical Mechanics
    • Quantum chaos and dynamical systems
    • Statistical Mechanics and Entropy
    • Stochastic processes and statistical mechanics
    • Spectral Theory in Mathematical Physics

Papers in

Mark Kac

108 papers receiving 8.9k citations

Mark Kac's Hit Papers

Integral Geometry and Geometric Probability 2004 · 652 citations
6520+24+49Years since publication4008001.2k

Peers

Mark Kac
Comparison fields: 5 of 171
  • Statistical and Nonlinear Physics 3.3k
  • Mathematical Physics 2.0k
  • Condensed Matter Physics 1.8k
  • Applied Mathematics 1.4k
  • Statistics and Probability 783
Replace I.M. RYZHIK with:
I.M. RYZHIK United States
I. S. Gradshteyn United States
Ya. G. Sinaǐ Russia
Alan Jeffrey United Kingdom
Tai Tsun Wu United States
Richard A. Silverman United States
H. P. McKean United States
H. Bateman
Sergio Albeverio Germany
Fritz Oberhettinger United States
Mark Kac relative to I.M. RYZHIK United States I.M. RYZHIK's profile →
Citations per field
00.5×1.5×2.2×
I.M. RYZHIK · 1×
Citations per year

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-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.

Border = papers with Mark Kac Line = papers co-authored together Mark Kac links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 116 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Toeplitz Forms and Their Applications
Hit paper breakdown →
19581358
2
The Spherical Model of a Ferromagnet
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1952761
3
Can One Hear the Shape of a Drum?
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1966715
4
Statistical Mechanics of Assemblies of Coupled Oscillators
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1965668
5
Integral Geometry and Geometric Probability
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2004652
6
On the van der Waals Theory of the Vapor-Liquid Equilibrium. I. Discussion of a One-Dimensional Model
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1963627
7
Can One Hear the Shape of a Drum?
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1966513
8
Probability and Related Topics in Physical Sciences
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1960449
9
A stochastic model related to the telegrapher's equation
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1974424
10 1981240
11 1975227
12 1977216
13 1952199
14 1957176
15 1959173
16 1984171
17 1987158
18 1973130
19 1955130
20 1954123

About Mark Kac

Mark Kac is a scholar working on Statistical and Nonlinear Physics, Mathematical Physics, Atomic and Molecular Physics, and Optics, Condensed Matter Physics and Statistics and Probability, having authored 116 papers that have together received 10.1k indexed citations. Recurring topics across this work include Advanced Thermodynamics and Statistical Mechanics (13 papers), Theoretical and Computational Physics (10 papers), Spectral Theory in Mathematical Physics (7 papers), Quantum Mechanics and Applications (6 papers), Cold Atom Physics and Bose-Einstein Condensates (6 papers), Stochastic processes and statistical mechanics (5 papers), Phase Equilibria and Thermodynamics (4 papers) and Matrix Theory and Algorithms (4 papers). The work is most often cited by research in Statistical and Nonlinear Physics (3.3k citations), Mathematical Physics (2.0k citations), Condensed Matter Physics (1.8k citations), Applied Mathematics (1.4k citations) and Statistics and Probability (783 citations). Mark Kac has collaborated with scholars based in United States, Australia and Israel. Frequent co-authors include Gábor Szegő, G. E. Uhlenbeck, Ulf Grenander, T. H. Berlin, Luis A. Santaló, G. W. Ford, P. C. Hemmer, P. Mazur, Pierre van Moerbeke and Rafael D. Benguria. Their work appears in journals such as Science, Proceedings of the National Academy of Sciences, Physics Today, Physical Review Letters and Bulletin 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.

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