Paul R. Chernoff

2.3k total citations
58 papers, 1.3k citations indexed

About

Paul R. Chernoff is a scholar working on Mathematical Physics, Algebra and Number Theory and Applied Mathematics. According to data from OpenAlex, Paul R. Chernoff has authored 58 papers receiving a total of 1.3k indexed citations (citations by other indexed papers that have themselves been cited), including 24 papers in Mathematical Physics, 16 papers in Algebra and Number Theory and 16 papers in Applied Mathematics. Recurrent topics in Paul R. Chernoff's work include Advanced Topics in Algebra (16 papers), Spectral Theory in Mathematical Physics (13 papers) and Holomorphic and Operator Theory (8 papers). Paul R. Chernoff is often cited by papers focused on Advanced Topics in Algebra (16 papers), Spectral Theory in Mathematical Physics (13 papers) and Holomorphic and Operator Theory (8 papers). Paul R. Chernoff collaborates with scholars based in United States and France. Paul R. Chernoff's co-authors include Jerrold E. Marsden, J. Marsden, Laurent Schwartz, William C. Waterhouse, Richard Rasala, Jacob J. Feldman, Jerome A. Goldstein, Robert B. Israel, Tamás F. Móri and William Arveson and has published in prestigious journals such as Science, Proceedings of the National Academy of Sciences and Communications in Mathematical Physics.

In The Last Decade

Paul R. Chernoff

46 papers receiving 1.0k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Paul R. Chernoff United States	16	888	418	358	241	209	58	1.3k
Pavel Bleher United States	25	928 1.0×	505 1.2×	206 0.6×	538 2.2×	172 0.8×	70	1.9k
Theodor Bröcker Germany	6	455 0.5×	262 0.6×	117 0.3×	205 0.9×	160 0.8×	10	1.1k
Yves Colin de Verdìère France	24	1.1k 1.2×	464 1.1×	453 1.3×	622 2.6×	99 0.5×	73	1.8k
James Rovnyak United States	14	514 0.6×	835 2.0×	347 1.0×	115 0.5×	144 0.7×	62	1.3k
Roe Goodman United States	17	769 0.9×	329 0.8×	107 0.3×	203 0.8×	391 1.9×	37	1.4k
Stephen Hoffman	4	320 0.4×	334 0.8×	226 0.6×	216 0.9×	71 0.3×	5	899
Tsuyoshi Andô Japan	20	483 0.5×	1.1k 2.6×	620 1.7×	106 0.4×	143 0.7×	64	2.0k
Jacques Faraut France	15	654 0.7×	643 1.5×	550 1.5×	180 0.7×	347 1.7×	45	1.8k
Richard Arens United States	21	1.1k 1.2×	691 1.7×	512 1.4×	110 0.5×	770 3.7×	98	2.1k
Joachim Weidmann Germany	16	1.4k 1.6×	659 1.6×	732 2.0×	412 1.7×	59 0.3×	30	1.9k

Countries citing papers authored by Paul R. Chernoff

Since Specialization

Citations

This map shows the geographic impact of Paul R. Chernoff'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 Paul R. Chernoff with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Paul R. Chernoff more than expected).

Fields of papers citing papers by Paul R. Chernoff

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Paul R. Chernoff. 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 Paul R. Chernoff. The network helps show where Paul R. Chernoff may publish in the future.

Co-authorship network of co-authors of Paul R. Chernoff

This figure shows the co-authorship network connecting the top 25 collaborators of Paul R. Chernoff. A scholar is included among the top collaborators of Paul R. Chernoff 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 Paul R. Chernoff. Paul R. Chernoff is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Chernoff, Paul R.. (2003). “Some of the People, All of the Time”. The Mathematical Intelligencer. 25(1). 71–73. 1 indexed citations

Chernoff, Paul R., et al.. (1996). Some examples related to Kato's conjecture. Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics. 60(2). 274–286. 2 indexed citations

Chernoff, Paul R.. (1995). Irreducible Representations of Infinite-Dimensional Transformation Groups and Lie Algebras, I. Journal of Functional Analysis. 130(2). 255–282. 5 indexed citations

Chernoff, Paul R., et al.. (1993). A New Class of Point Interactions in One Dimension. Journal of Functional Analysis. 111(1). 97–117. 46 indexed citations

Chernoff, Paul R.. (1992). A Simple Proof of Tychonoff's Theorem Via Nets. American Mathematical Monthly. 99(10). 932–932. 2 indexed citations

Chernoff, Paul R.. (1990). Extensions and triviality of multipliers on sub-semigroups of the reals. Semigroup Forum. 41(1). 237–244. 7 indexed citations

Chernoff, Paul R.. (1983). A semibounded closed symmetric operator whose square has trivial domain. Proceedings of the American Mathematical Society. 89(2). 289–290. 19 indexed citations

Chernoff, Paul R.. (1981). Mathematical obstructions to quantization. 11 indexed citations

Chernoff, Paul R.. (1976). Two Counterexamples in Semigroup Theory on Hilbert Space. Proceedings of the American Mathematical Society. 56(1). 253–253. 1 indexed citations

10.

Chernoff, Paul R.. (1975). A Note on Continuity of Semigroups of Maps. Proceedings of the American Mathematical Society. 53(2). 318–318. 1 indexed citations

11.

Chernoff, Paul R.. (1975). A note on continuity of semigroups of maps. Proceedings of the American Mathematical Society. 53(2). 318–320. 9 indexed citations

12.

Chernoff, Paul R.. (1974). Product formulas, nonlinear semigroups, and addition of unbounded operators. Memoirs of the American Mathematical Society. 0(140). 0–0. 120 indexed citations

13.

Chernoff, Paul R.. (1973). Representations, automorphisms, and derivations of some operator algebras. Journal of Functional Analysis. 12(3). 275–289. 80 indexed citations

14.

Chernoff, Paul R. & Jerrold E. Marsden. (1973). Book Review: Lie Algebras and Quantum Mechanics and Vector Bundles in Mathematical Physics. Bulletin of the American Mathematical Society. 79(6). 1150–1163.

15.

Chernoff, Paul R.. (1973). Essential self-adjointness of powers of generators of hyperbolic equations. Journal of Functional Analysis. 12(4). 401–414. 256 indexed citations

16.

Chernoff, Paul R.. (1972). Perturbations of dissipative operators with relative bound one. Proceedings of the American Mathematical Society. 33(1). 72–74. 16 indexed citations

17.

Chernoff, Paul R.. (1972). Some Remarks on Quasi-Analytic Vectors. Transactions of the American Mathematical Society. 167. 105–105. 2 indexed citations

18.

Chernoff, Paul R. & Jerome A. Goldstein. (1972). Admissible subspaces and the denseness of the intersection of the domains of semigroup generators. Journal of Functional Analysis. 9(4). 460–468. 2 indexed citations

19.

Chernoff, Paul R. & J. Marsden. (1970). On continuity and smoothness of group actions. Bulletin of the American Mathematical Society. 76(5). 1044–1050. 31 indexed citations

20.

Chernoff, Paul R.. (1968). Note on product formulas for operator semigroups. Journal of Functional Analysis. 2(2). 238–242. 233 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.

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