W. A. Beyer

1.4k total citations
54 papers, 917 citations indexed

About

W. A. Beyer is a scholar working on Mathematical Physics, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, W. A. Beyer has authored 54 papers receiving a total of 917 indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Mathematical Physics, 13 papers in Geometry and Topology and 10 papers in Computational Theory and Mathematics. Recurrent topics in W. A. Beyer's work include Mathematical Dynamics and Fractals (7 papers), Mathematics and Applications (6 papers) and Stochastic processes and statistical mechanics (4 papers). W. A. Beyer is often cited by papers focused on Mathematical Dynamics and Fractals (7 papers), Mathematics and Applications (6 papers) and Stochastic processes and statistical mechanics (4 papers). W. A. Beyer collaborates with scholars based in United States, China and Canada. W. A. Beyer's co-authors include Michael S. Waterman, Temple F. Smith, P. R. Stein, Leon Arriola, Manpreet Singh, Stanislaw M. Ulam, Myron L. Stein, J. Alex Halderman, Branden Ghena and James D. Louck and has published in prestigious journals such as Communications of the ACM, Mathematics of Computation and Journal of Theoretical Biology.

In The Last Decade

W. A. Beyer

45 papers receiving 780 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
W. A. Beyer United States 12 294 231 150 134 101 54 917
Louis Gordon United States 16 227 0.8× 404 1.7× 272 1.8× 93 0.7× 157 1.6× 27 1.3k
S. Smale United States 15 62 0.2× 91 0.4× 123 0.8× 292 2.2× 72 0.7× 18 1.1k
Paul Cull United States 15 87 0.3× 127 0.5× 76 0.5× 171 1.3× 32 0.3× 62 907
Ömer Eğecioǧlu United States 18 271 0.9× 289 1.3× 35 0.2× 271 2.0× 39 0.4× 111 1.1k
Dean Isaacson United States 13 55 0.2× 223 1.0× 204 1.4× 175 1.3× 23 0.2× 34 1.1k
Hugo Steinhaus Poland 10 56 0.2× 100 0.4× 47 0.3× 76 0.6× 161 1.6× 34 713
Lawrence L. Larmore United States 18 143 0.5× 451 2.0× 75 0.5× 345 2.6× 36 0.4× 121 1.2k
Michel Benaı̈m France 23 90 0.3× 238 1.0× 323 2.2× 122 0.9× 63 0.6× 66 1.7k
Richard Arratia United States 26 712 2.4× 992 4.3× 821 5.5× 290 2.2× 164 1.6× 52 2.5k
Lars Holst Sweden 22 88 0.3× 602 2.6× 612 4.1× 101 0.8× 304 3.0× 82 1.7k

Countries citing papers authored by W. A. Beyer

Since Specialization
Citations

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

Fields of papers citing papers by W. A. Beyer

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of W. A. Beyer

This figure shows the co-authorship network connecting the top 25 collaborators of W. A. Beyer. A scholar is included among the top collaborators of W. A. Beyer 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 W. A. Beyer. W. A. Beyer 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.
Wang, Li & W. A. Beyer. (1998). Quadratic Convergence in Period Doubling to Chaos for Trapezoid Maps. Journal of Mathematical Analysis and Applications. 227(1). 1–24.
2.
Beyer, W. A. & James D. Louck. (1997). Transfinite Function Iteration and Surreal Numbers. Advances in Applied Mathematics. 18(3). 333–350. 3 indexed citations
3.
Beyer, W. A., et al.. (1992). The volume common to two congruent circular cylinders. Journal of Symbolic Computation. 13(2). 221–230. 3 indexed citations
4.
Beyer, W. A. & Blair Swartz. (1992). Halfway Points. SIAM Journal on Mathematical Analysis. 23(5). 1332–1341. 2 indexed citations
5.
Beyer, W. A., Lee Fawcett, R. Daniel Mauldin, & Blair Swartz. (1987). The volume common to two congruent circular cones whose axes intersect symmetrically. Journal of Symbolic Computation. 4(3). 381–390. 7 indexed citations
6.
Beyer, W. A. & L. Heller. (1987). A steiner tree associated with three quarks. Journal of Symbolic Computation. 3(3). 283–289. 1 indexed citations
7.
Beyer, W. A., R. Daniel Mauldin, & P. R. Stein. (1986). Shift-maximal sequences in function iteration: Existence, uniqueness, and multiplicity. Journal of Mathematical Analysis and Applications. 115(2). 305–362. 25 indexed citations
8.
Beyer, W. A. & P. R. Stein. (1982). Further results on periods and period doubling for iterates of the trapezoid function. Advances in Applied Mathematics. 3(3). 265–287. 10 indexed citations
9.
Waterman, Michael S., Temple F. Smith, & W. A. Beyer. (1976). Some biological sequence metrics. Advances in Mathematics. 20(3). 367–387. 253 indexed citations
10.
Beyer, W. A. & Mark B. Wells. (1972). Lower bound for the connective constant of a self-avoiding walk on a square lattice. Journal of Combinatorial Theory Series A. 13(2). 176–182. 6 indexed citations
11.
Beyer, W. A. & Michael S. Waterman. (1972). Ergodic Computations with Continued Fraction and Jacobi's Algorithm. Numerische Mathematik. 20(5). 430–430. 5 indexed citations
12.
Beyer, W. A., N. Metropolis, & Jon R. Neergaard. (1970). Statistical study of digits of some square roots of integers in various bases. Mathematics of Computation. 24(110). 455–473. 5 indexed citations
13.
Beyer, W. A., N. Metropolis, & Jon R. Neergaard. (1970). The generalized serial test applied to expansions of some irrational square roots in various bases. Mathematics of Computation. 24(111). 745–747. 1 indexed citations
14.
Beyer, W. A.. (1968). Mountain folk art. 1 indexed citations
15.
Beyer, W. A. & Stanislaw M. Ulam. (1968). Note on the visual hull of a set. Journal of Combinatorial Theory. 4(3). 240–245. 4 indexed citations
16.
Beyer, W. A., et al.. (1967). Pre-history of the Philippines. In-house reproduction eBooks. 1 indexed citations
17.
Beyer, W. A. & L. Heller. (1967). Analytic Continuation of Laplace Transforms by Means of Asymptotic Series. Journal of Mathematical Physics. 8(5). 1004–1018. 6 indexed citations
18.
Beyer, W. A.. (1966). Asymptotic phase and amplitude for a modified Coulomb potential in scattering theory: An application of invariant imbedding. Journal of Mathematical Analysis and Applications. 13(2). 348–360. 2 indexed citations
19.
Beyer, W. A.. (1964). A note on starting the Newton-Raphson method. Communications of the ACM. 7(7). 442–442. 2 indexed citations
20.
Beyer, W. A.. (1962). Cardinality of level sets of Rademacher series whose coefficients form a geometric progression. Proceedings of the American Mathematical Society. 13(4). 579–584. 1 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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