Gerald A. Edgar

2.5k total citations
51 papers, 1.4k citations indexed

About

Gerald A. Edgar is a scholar working on Mathematical Physics, Geometry and Topology and Applied Mathematics. According to data from OpenAlex, Gerald A. Edgar has authored 51 papers receiving a total of 1.4k indexed citations (citations by other indexed papers that have themselves been cited), including 24 papers in Mathematical Physics, 9 papers in Geometry and Topology and 7 papers in Applied Mathematics. Recurrent topics in Gerald A. Edgar's work include Mathematical Dynamics and Fractals (12 papers), Advanced Banach Space Theory (11 papers) and Advanced Topology and Set Theory (9 papers). Gerald A. Edgar is often cited by papers focused on Mathematical Dynamics and Fractals (12 papers), Advanced Banach Space Theory (11 papers) and Advanced Topology and Set Theory (9 papers). Gerald A. Edgar collaborates with scholars based in United States. Gerald A. Edgar's co-authors include Louis Sucheston, R. Daniel Mauldin, Alec Norton, A. Ionescu Tulcea, PE, Chris Miller, Joseph Rosenblatt, Richard D. Bourgin, John Ernest and Patrick N. Dowling and has published in prestigious journals such as Journal of the American Statistical Association, Transactions of the American Mathematical Society and American Mathematical Monthly.

In The Last Decade

Gerald A. Edgar

47 papers receiving 1.1k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Gerald A. Edgar United States	18	818	347	305	289	180	51	1.4k
Siegfried Graf Germany	17	577 0.7×	236 0.7×	162 0.5×	206 0.7×	99 0.6×	40	1.2k
Jean‐Pierre Kahane France	17	948 1.2×	826 2.4×	244 0.8×	336 1.2×	83 0.5×	79	1.8k
I. P. Cornfeld	2	1.2k 1.4×	275 0.8×	330 1.1×	388 1.3×	789 4.4×	2	2.0k
Adriano M. Garsia United States	31	1.1k 1.4×	522 1.5×	408 1.3×	1.1k 3.8×	168 0.9×	98	2.7k
Martin T. Barlow Canada	19	1.1k 1.4×	653 1.9×	529 1.7×	221 0.8×	212 1.2×	44	1.7k
Hillel Fürstenberg Israel	14	1.1k 1.3×	163 0.5×	451 1.5×	744 2.6×	289 1.6×	29	1.8k
Yuri Kifer Israel	23	1.1k 1.3×	148 0.4×	250 0.8×	196 0.7×	637 3.5×	90	1.7k
D. W. Stroock United States	22	941 1.2×	774 2.2×	524 1.7×	127 0.4×	160 0.9×	35	1.8k
Gérald Tenenbaum France	23	624 0.8×	382 1.1×	276 0.9×	617 2.1×	108 0.6×	129	2.2k
Michaël Keane Netherlands	22	1.3k 1.6×	144 0.4×	573 1.9×	303 1.0×	337 1.9×	79	1.9k

Countries citing papers authored by Gerald A. Edgar

Since Specialization

Citations

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

Fields of papers citing papers by Gerald A. Edgar

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Gerald A. Edgar. 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 Gerald A. Edgar. The network helps show where Gerald A. Edgar may publish in the future.

Co-authorship network of co-authors of Gerald A. Edgar

This figure shows the co-authorship network connecting the top 25 collaborators of Gerald A. Edgar. A scholar is included among the top collaborators of Gerald A. Edgar 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 Gerald A. Edgar. Gerald A. Edgar 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

Edgar, Gerald A.. (2013). Fractional iteration of series and transseries. Transactions of the American Mathematical Society. 365(11). 5805–5832. 2 indexed citations

Edgar, Gerald A.. (2007). Centered densities and fractal measures. 17 indexed citations

Edgar, Gerald A.. (2007). Measure, Topology, and Fractal Geometry. Undergraduate texts in mathematics. 154 indexed citations

Edgar, Gerald A., et al.. (2004). Separation properties for graph-directed self-similar fractals. Topology and its Applications. 152(1-2). 138–156. 11 indexed citations

Edgar, Gerald A. & Chris Miller. (2002). Borel subrings of the reals. Proceedings of the American Mathematical Society. 131(4). 1121–1129. 17 indexed citations

Edgar, Gerald A., et al.. (1999). A fractal dimension estimate for a graph-directed IFS of non-similarities. Indiana University Mathematics Journal. 48(2). 0–0. 18 indexed citations

Edgar, Gerald A.. (1994). Packing measure as a gauge variation. Proceedings of the American Mathematical Society. 122(1). 167–174. 8 indexed citations

Edgar, Gerald A. & Louis Sucheston. (1992). Stopping Times and Directed Processes. Cambridge University Press eBooks. 51 indexed citations

Norton, Alec & Gerald A. Edgar. (1992). Measure, Topology, and Fractal Geometry.. American Mathematical Monthly. 99(4). 378–378. 36 indexed citations

10.

Edgar, Gerald A. & Louis Sucheston. (1989). Almost everywhere convergence : proceedings of the International Conference on Almost Everywhere Convergence in Probability and Ergodic Theory, Columbus, Ohio, June 11-14, 1988. Academic Press eBooks. 2 indexed citations

11.

Dowling, Patrick N. & Gerald A. Edgar. (1988). Some characterizations of the analytic Radon-Nikodým property in Banach spaces. Journal of Functional Analysis. 80(2). 349–357. 3 indexed citations

12.

Edgar, Gerald A., et al.. (1985). The ordering structure on Banach spaces. Pacific Journal of Mathematics. 116(2). 255–263. 8 indexed citations

13.

Edgar, Gerald A., et al.. (1984). Topological properties of Banach spaces. Pacific Journal of Mathematics. 115(2). 317–350. 73 indexed citations

14.

Edgar, Gerald A.. (1983). An ordering for the Banach spaces. Pacific Journal of Mathematics. 108(1). 83–98. 27 indexed citations

15.

Edgar, Gerald A. & Michel Talagrand. (1980). Liftings of functions with values in a completely regular space. Proceedings of the American Mathematical Society. 78(3). 345–349. 1 indexed citations

16.

Edgar, Gerald A. & Joseph Rosenblatt. (1979). Difference equations over locally compact abelian groups. Transactions of the American Mathematical Society. 253(0). 273–289. 17 indexed citations

17.

Edgar, Gerald A.. (1977). . Indiana University Mathematics Journal. 26(4). 663–663. 65 indexed citations

18.

Edgar, Gerald A. & Louis Sucheston. (1976). Amarts: A class of asymptotic martingales B. Continuous parameter. Journal of Multivariate Analysis. 6(4). 572–591. 8 indexed citations

19.

Edgar, Gerald A.. (1976). Extremal integral representations. Journal of Functional Analysis. 23(2). 145–161. 19 indexed citations

20.

Edgar, Gerald A. & Louis Sucheston. (1976). Amarts: A class of asymptotic martingales a. Discrete parameter. Journal of Multivariate Analysis. 6(2). 193–221. 46 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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