Ralph Alexander

601 total citations
29 papers, 392 citations indexed

About

Ralph Alexander is a scholar working on Geometry and Topology, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, Ralph Alexander has authored 29 papers receiving a total of 392 indexed citations (citations by other indexed papers that have themselves been cited), including 10 papers in Geometry and Topology, 9 papers in Applied Mathematics and 6 papers in Mathematical Physics. Recurrent topics in Ralph Alexander's work include Mathematics and Applications (7 papers), Computational Geometry and Mesh Generation (5 papers) and Mathematical Approximation and Integration (5 papers). Ralph Alexander is often cited by papers focused on Mathematics and Applications (7 papers), Computational Geometry and Mesh Generation (5 papers) and Mathematical Approximation and Integration (5 papers). Ralph Alexander collaborates with scholars based in United States. Ralph Alexander's co-authors include Kenneth B. Stolarsky, R. J. Bell, Richard Anderson, Ina Berg, Robert L. Foote and John E. Wetzel and has published in prestigious journals such as American Journal of Physics, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

Ralph Alexander

27 papers receiving 301 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Ralph Alexander United States	12	157	115	109	80	72	29	392
V. A. Zalgaller Russia	7	390 2.5×	21 0.2×	246 2.3×	101 1.3×	57 0.8×	20	582
Gerhard Opfer Germany	12	160 1.0×	132 1.1×	63 0.6×	14 0.2×	20 0.3×	48	382
Friedrich Tomi Germany	11	339 2.2×	39 0.3×	142 1.3×	102 1.3×	14 0.2×	30	492
Balmohan V. Limaye India	9	99 0.6×	104 0.9×	40 0.4×	155 1.9×	5 0.1×	45	396
Evelyn Frank United States	6	135 0.9×	63 0.5×	65 0.6×	76 0.9×	4 0.1×	27	346
А. В. Погорелов Russia	7	673 4.3×	21 0.2×	496 4.6×	97 1.2×	36 0.5×	32	877
William K. Allard United States	9	617 3.9×	16 0.1×	296 2.7×	152 1.9×	36 0.5×	14	779
Bernard Gostiaux France	3	87 0.6×	8 0.1×	63 0.6×	35 0.4×	38 0.5×	3	308
Ann Haegemans Belgium	10	90 0.6×	105 0.9×	20 0.2×	8 0.1×	13 0.2×	28	288
Donald E. Marshall United States	15	409 2.6×	38 0.3×	259 2.4×	266 3.3×	13 0.2×	35	670

Countries citing papers authored by Ralph Alexander

Since Specialization

Citations

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

Fields of papers citing papers by Ralph Alexander

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Ralph Alexander. 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 Ralph Alexander. The network helps show where Ralph Alexander may publish in the future.

Co-authorship network of co-authors of Ralph Alexander

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

Alexander, Ralph, Ina Berg, & Robert L. Foote. (2005). Integral-Geometric Formulas for Perimeter in $\S^2$, $\H^2$ and Hilbert Planes. Rocky Mountain Journal of Mathematics. 35(6). 2 indexed citations

Alexander, Ralph & John E. Wetzel. (2005). Wafer in a Box. Mathematics Magazine. 78(3). 214–214. 1 indexed citations

Bell, R. J., et al.. (1995). On the Kramers-Kronig Relation for the Phase Spectrum. Journal of Modern Optics. 42(9). 1837–1842. 16 indexed citations

Alexander, Ralph. (1994). The effect of dimension on certain geometric problems of irregularities of distribution. Pacific Journal of Mathematics. 165(1). 1–15. 4 indexed citations

Alexander, Ralph. (1988). Zonoid theory and Hilbert's fourth problem. Geometriae Dedicata. 28(2). 13 indexed citations

Alexander, Ralph. (1985). Lipschitzian mappings and total mean curvature of polyhedral surfaces. I. Transactions of the American Mathematical Society. 288(2). 661–661. 38 indexed citations

Alexander, Ralph. (1984). The Circumdisk and Its Relation to a Theorem of Kirszbraun and Valentine. Mathematics Magazine. 57(3). 165–165. 3 indexed citations

Alexander, Ralph. (1984). Book Review: Combinatorial integral geometry with applications to mathematical stereology. Bulletin of the American Mathematical Society. 10(2). 318–322. 1 indexed citations

Anderson, Richard, et al.. (1981). Modern spectroscopy with a spectrometer by the optogalvanic effect. American Journal of Physics. 49(8). 767–772. 5 indexed citations

10.

Alexander, Ralph. (1979). Metric averaging in Euclidean and Hilbert spaces. Pacific Journal of Mathematics. 85(1). 1–9. 21 indexed citations

11.

Alexander, Ralph. (1978). Planes for which the lines are the shortest paths between points. Illinois Journal of Mathematics. 22(2). 23 indexed citations

12.

Alexander, Ralph. (1977). Two notes on metric geometry. Proceedings of the American Mathematical Society. 64(2). 317–320. 7 indexed citations

13.

Alexander, Ralph. (1977). On the sum of distances betweenn points on a sphere. II. Acta Mathematica Academiae Scientiarum Hungaricae. 29(3-4). 317–320. 34 indexed citations

14.

Alexander, Ralph. (1975). Generalized sums of distances. Pacific Journal of Mathematics. 56(2). 297–304. 38 indexed citations

15.

Alexander, Ralph & Kenneth B. Stolarsky. (1974). Extremal problems of distance geometry related to energy integrals. Transactions of the American Mathematical Society. 193(0). 1–31. 43 indexed citations

16.

Alexander, Ralph & R. J. Bell. (1974). Surface electromagnetic waves on magnetic media. Optics Communications. 10(1). 59–62. 4 indexed citations

17.

Alexander, Ralph. (1972). On an Inequality of J. W. S. Cassels. American Mathematical Monthly. 79(8). 883–884. 3 indexed citations

18.

Alexander, Ralph. (1968). A Problem About Lines and Ovals. American Mathematical Monthly. 75(5). 482–487. 7 indexed citations

19.

Alexander, Ralph. (1967). Density and multiplicative structure of sets of integers. Acta Arithmetica. 12(4). 321–332. 12 indexed citations

20.

Alexander, Ralph. (1953). Fatal Hypoglycaemia in a Diabetic Patient with Pituitary Necrosis. BMJ. 1(4825). 1416–1418. 5 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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