Richard T. Bumby

434 total citations
17 papers, 272 citations indexed

About

Richard T. Bumby is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Algebra and Number Theory. According to data from OpenAlex, Richard T. Bumby has authored 17 papers receiving a total of 272 indexed citations (citations by other indexed papers that have themselves been cited), including 6 papers in Mathematical Physics, 6 papers in Computational Theory and Mathematics and 5 papers in Algebra and Number Theory. Recurrent topics in Richard T. Bumby's work include semigroups and automata theory (3 papers), Algebraic Geometry and Number Theory (3 papers) and Mathematical Dynamics and Fractals (3 papers). Richard T. Bumby is often cited by papers focused on semigroups and automata theory (3 papers), Algebraic Geometry and Number Theory (3 papers) and Mathematical Dynamics and Fractals (3 papers). Richard T. Bumby collaborates with scholars based in United States and Netherlands. Richard T. Bumby's co-authors include Eduardo D. Sontag, W.V Vasconcelos, H.J. Sussmann, David E. Dobbs, Everett C. Dade and Erik Ellentuck and has published in prestigious journals such as Systems & Control Letters, American Mathematical Monthly and Advances in Mathematics.

In The Last Decade

Richard T. Bumby

17 papers receiving 182 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Richard T. Bumby United States 10 110 90 87 57 34 17 272
L. B. Treybig United States 8 47 0.4× 128 1.4× 158 1.8× 100 1.8× 22 0.6× 28 317
Ernst S. Selmer Norway 7 156 1.4× 162 1.8× 136 1.6× 59 1.0× 11 0.3× 18 306
Daniel A. Marcus United States 6 54 0.5× 87 1.0× 53 0.6× 50 0.9× 21 0.6× 15 253
Kevin Broughan New Zealand 9 103 0.9× 77 0.9× 32 0.4× 65 1.1× 15 0.4× 64 235
Jacek Cichoń Poland 10 47 0.4× 170 1.9× 105 1.2× 110 1.9× 38 1.1× 50 264
Yukihiro Kodama Ghana 8 50 0.5× 140 1.6× 147 1.7× 103 1.8× 16 0.5× 24 294
Thomas A. Dowling United States 9 80 0.7× 91 1.0× 156 1.8× 26 0.5× 15 0.4× 19 332
Ezra Brown United States 9 145 1.3× 175 1.9× 79 0.9× 89 1.6× 7 0.2× 61 367
David P. Roselle United States 11 119 1.1× 44 0.5× 100 1.1× 47 0.8× 8 0.2× 32 321
Lev Arkadʹevich Kaluzhnin 5 32 0.3× 67 0.7× 211 2.4× 22 0.4× 64 1.9× 9 297

Countries citing papers authored by Richard T. Bumby

Since Specialization
Citations

This map shows the geographic impact of Richard T. Bumby'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 Richard T. Bumby with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Richard T. Bumby more than expected).

Fields of papers citing papers by Richard T. Bumby

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Richard T. Bumby. 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 Richard T. Bumby. The network helps show where Richard T. Bumby may publish in the future.

Co-authorship network of co-authors of Richard T. Bumby

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

All Works

17 of 17 papers shown
1.
Bumby, Richard T., et al.. (1986). Categorical constructions in graph theory. International Journal of Mathematics and Mathematical Sciences. 9(1). 1–16. 4 indexed citations
2.
Bumby, Richard T. & Eduardo D. Sontag. (1983). Stabilization of polynomially parametrized families of linear systems. The single-input case. Systems & Control Letters. 3(5). 251–254. 2 indexed citations
3.
Bumby, Richard T.. (1982). Hausdorff dimensions of Cantor sets.. Journal für die reine und angewandte Mathematik (Crelles Journal). 331. 192–206. 15 indexed citations
4.
Bumby, Richard T., Eduardo D. Sontag, H.J. Sussmann, & W.V Vasconcelos. (1981). Remarks on the pole-shifting problem over rings. Journal of Pure and Applied Algebra. 20(2). 113–127. 47 indexed citations
5.
Bumby, Richard T.. (1981). A Problem with Telephones. SIAM Journal on Algebraic and Discrete Methods. 2(1). 13–18. 55 indexed citations
6.
Bumby, Richard T.. (1976). Structure of the Markoff spectrum below √12. Acta Arithmetica. 29(3). 299–307. 3 indexed citations
7.
Bumby, Richard T.. (1975). The differentiability of Póyla's function. Advances in Mathematics. 18(3). 243–244. 2 indexed citations
8.
Bumby, Richard T.. (1975). A distribution property for linear recurrence of the second order. Proceedings of the American Mathematical Society. 50(1). 101–101. 15 indexed citations
9.
Bumby, Richard T. & David E. Dobbs. (1975). Amitsur cohomology of quadratic extensions: formulas and number-theoretic examples. Pacific Journal of Mathematics. 60(1). 21–30. 23 indexed citations
10.
Bumby, Richard T.. (1974). On a problem of D'Atri and Nickerson. Aequationes Mathematicae. 11(1). 57–67. 1 indexed citations
11.
Bumby, Richard T.. (1974). Upper Bounds on Arc Length. American Mathematical Monthly. 81(4). 385–387. 1 indexed citations
12.
Bumby, Richard T. & Erik Ellentuck. (1969). Finitely additive measures and the first digit problem. Fundamenta Mathematicae. 65(1). 33–42. 13 indexed citations
13.
Bumby, Richard T.. (1967). On the analog of Littlewood’s problem in power series fields. Proceedings of the American Mathematical Society. 18(6). 1125–1127. 2 indexed citations
14.
Bumby, Richard T. & Everett C. Dade. (1967). Remark on a problem of Niven and Zuckerman. Pacific Journal of Mathematics. 22(1). 15–18. 16 indexed citations
15.
Bumby, Richard T.. (1967). The Diophantine Equation $3x^4-2y^2=1$.. MATHEMATICA SCANDINAVICA. 21. 144–144. 18 indexed citations
16.
Bumby, Richard T.. (1967). Irreducible integers in Galois extensions. Pacific Journal of Mathematics. 22(2). 221–229. 20 indexed citations
17.
Bumby, Richard T.. (1965). Modules which are isomorphic to submodules of each other. Archiv der Mathematik. 16(1). 184–185. 35 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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