James K. Brooks

2.1k total citations · 1 hit paper
43 papers, 1.3k citations indexed

About

James K. Brooks is a scholar working on Mathematical Physics, Algebra and Number Theory and Applied Mathematics. According to data from OpenAlex, James K. Brooks has authored 43 papers receiving a total of 1.3k indexed citations (citations by other indexed papers that have themselves been cited), including 28 papers in Mathematical Physics, 12 papers in Algebra and Number Theory and 12 papers in Applied Mathematics. Recurrent topics in James K. Brooks's work include Advanced Banach Space Theory (24 papers), Advanced Topics in Algebra (8 papers) and Advanced Operator Algebra Research (8 papers). James K. Brooks is often cited by papers focused on Advanced Banach Space Theory (24 papers), Advanced Topics in Algebra (8 papers) and Advanced Operator Algebra Research (8 papers). James K. Brooks collaborates with scholars based in United States, Romania and United Kingdom. James K. Brooks's co-authors include Gary Davis, Grant Cairns, P. J. Stacey, John Banks, Paul Lewis, Nicolae Dinculeanu, R. V. Chacon, J. D. Maitland Wright, Kazuyuki Saitô and Domenico Candeloro and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Journal of Mathematical Analysis and Applications and Transactions of the American Mathematical Society.

In The Last Decade

James K. Brooks

38 papers receiving 1.1k citations

Hit Papers

On Devaney's Definition of Chaos 1992 2026 2003 2014 1992 100 200 300 400
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. On Devaney's Definition of Chaos
    1992 472 citations James K. Brooks et al. profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
James K. Brooks United States 14 942 425 375 340 236 43 1.3k
A. M. Bruckner United States 17 470 0.5× 118 0.3× 374 1.0× 430 1.3× 250 1.1× 77 1.2k
P. J. Stacey Australia 7 647 0.7× 430 1.0× 150 0.4× 266 0.8× 152 0.6× 24 909
William A. Veech United States 23 1.5k 1.6× 401 0.9× 382 1.0× 924 2.7× 418 1.8× 56 1.9k
John Banks Australia 6 701 0.7× 480 1.1× 125 0.3× 337 1.0× 177 0.8× 10 957
Stanisław Łojasiewicz Poland 13 438 0.5× 82 0.2× 494 1.3× 589 1.7× 385 1.6× 34 1.2k
William F. Donoghue United States 11 703 0.7× 98 0.2× 641 1.7× 344 1.0× 600 2.5× 30 1.5k
Grant Cairns Australia 13 637 0.7× 448 1.1× 166 0.4× 408 1.2× 197 0.8× 60 1.1k
Wen Huang China 26 1.5k 1.6× 632 1.5× 202 0.5× 704 2.1× 447 1.9× 83 1.8k
Bernd Carl Germany 14 423 0.4× 130 0.3× 539 1.4× 128 0.4× 128 0.5× 45 950
Eli Glasner Israel 23 1.6k 1.8× 380 0.9× 147 0.4× 1.1k 3.3× 462 2.0× 67 1.8k

Countries citing papers authored by James K. Brooks

Since Specialization
Citations

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

Fields of papers citing papers by James K. Brooks

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by James K. Brooks. 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 James K. Brooks. The network helps show where James K. Brooks may publish in the future.

Co-authorship network of co-authors of James K. Brooks

This figure shows the co-authorship network connecting the top 25 collaborators of James K. Brooks. A scholar is included among the top collaborators of James K. Brooks 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 James K. Brooks. James K. Brooks 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.
Brooks, James K., et al.. (2005). Stochastic processes in nuclear spaces: quasi-martingales and decompositions. Mathematica Slovaca. 55(3). 271–282.
2.
Brooks, James K. & J. D. Maitland Wright. (2004). Convergence in the dual of a σ-complete C∗-algebra. Journal of Mathematical Analysis and Applications. 294(1). 141–146. 5 indexed citations
3.
Brooks, James K.. (2004). When absolute continuity on C-algebras is automatically uniform. The Quarterly Journal of Mathematics. 55(1). 31–40. 4 indexed citations
4.
Brooks, James K., Kazuyuki Saitô, & J. D. Maitland Wright. (2002). A bounded sequence of normal functionals has a subsequence which is nearly weakly convergent. Journal of Mathematical Analysis and Applications. 276(1). 160–167. 2 indexed citations
5.
Brooks, James K. & Nicolae Dinculeanu. (1990). Stochastic integration in Banach spaces. Advances in Mathematics. 81(1). 99–104. 5 indexed citations
6.
Brooks, James K. & Nicolae Dinculeanu. (1982). On weak compactness in the space of pettis integrable functions. Advances in Mathematics. 45(3). 255–258. 2 indexed citations
7.
Brooks, James K. & R. V. Chacon. (1980). Continuity and compactness of measures. Advances in Mathematics. 37(1). 16–26. 67 indexed citations
8.
Brooks, James K.. (1980). On a theorem of Dieudonné. Advances in Mathematics. 36(2). 165–168. 12 indexed citations
9.
Brooks, James K. & Nicolae Dinculeanu. (1979). Conditional expectations and weak and strong compactness in spaces of Bochner integrable functions. Journal of Multivariate Analysis. 9(3). 420–427. 12 indexed citations
10.
Brooks, James K. & Nicolae Dinculeanu. (1977). Weak compactness in spaces of bochner integrable functions and applications. Advances in Mathematics. 24(1). 172–188. 37 indexed citations
11.
Brooks, James K. & Nicolae Dinculeanu. (1976). Lebesgue-type spaces for vector integration, linear operators, weak completeness and weak compactness. Journal of Mathematical Analysis and Applications. 54(2). 348–389. 14 indexed citations
12.
Brooks, James K. & Nicolae Dinculeanu. (1974). Strong additivity, absolute continuity and compactness in spaces of measures. Journal of Mathematical Analysis and Applications. 45(1). 156–175. 30 indexed citations
13.
Brooks, James K. & Paul Lewis. (1974). Linear operators and vector measures. Transactions of the American Mathematical Society. 192(0). 139–162. 61 indexed citations
14.
Brooks, James K.. (1973). Equicontinuous sets of measures and applications to Vitali's integral convergence theorem and control measures. Advances in Mathematics. 10(2). 165–171. 25 indexed citations
15.
Brooks, James K., et al.. (1970). On Finitely Additive Vector Measures. Proceedings of the National Academy of Sciences. 67(3). 1294–1298. 47 indexed citations
16.
Brooks, James K.. (1969). On absolute continuity in transformation theory. Monatshefte für Mathematik. 73(1). 1–6. 2 indexed citations
17.
Brooks, James K.. (1969). ON THE VITALI-HAHN-SAKS AND NIKODÝM THEOREMS. Proceedings of the National Academy of Sciences. 64(2). 468–471. 15 indexed citations
18.
Brooks, James K.. (1969). REPRESENTATIONS OF WEAK AND STRONG INTEGRALS IN BANACH SPACES. Proceedings of the National Academy of Sciences. 63(2). 266–270. 18 indexed citations
19.
Brooks, James K. & Paul V. Reichelderfer. (1969). On absolutely continuous transformations. Bulletin of the American Mathematical Society. 75(6). 1243–1247.
20.
Brooks, James K. & Paul V. Reichelderfer. (1968). A jordan decomposition for weight functions. Rendiconti del Circolo Matematico di Palermo Series 2. 17(2). 165–180. 2 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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