Detta Dickinson

497 total citations
21 papers, 254 citations indexed

About

Detta Dickinson is a scholar working on Mathematical Physics, Geometry and Topology and Applied Mathematics. According to data from OpenAlex, Detta Dickinson has authored 21 papers receiving a total of 254 indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Mathematical Physics, 7 papers in Geometry and Topology and 7 papers in Applied Mathematics. Recurrent topics in Detta Dickinson's work include Mathematical Dynamics and Fractals (17 papers), Analytic Number Theory Research (6 papers) and advanced mathematical theories (5 papers). Detta Dickinson is often cited by papers focused on Mathematical Dynamics and Fractals (17 papers), Analytic Number Theory Research (6 papers) and advanced mathematical theories (5 papers). Detta Dickinson collaborates with scholars based in Ireland, Belarus and United Kingdom. Detta Dickinson's co-authors include Victor Beresnevich, Sanju Velani, Todor Gramchev, Masafumi Yoshino, R. C. Vaughan, В. И. Берник, Hugh O’Donnell, Yann Bugeaud and A. G. Azpeitia and has published in prestigious journals such as Annals of Mathematics, Numerische Mathematik and Bulletin of the London Mathematical Society.

In The Last Decade

Detta Dickinson

21 papers receiving 238 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Detta Dickinson Ireland 8 225 115 88 56 47 21 254
Ludwig Reich Austria 9 87 0.4× 106 0.9× 153 1.7× 83 1.5× 38 0.8× 64 255
Xavier Gómez-Mont Mexico 9 146 0.6× 218 1.9× 90 1.0× 30 0.5× 35 0.7× 25 269
Jean-Claude Tougeron Spain 7 101 0.4× 180 1.6× 88 1.0× 85 1.5× 49 1.0× 13 260
Cătălin Badea France 11 121 0.5× 50 0.4× 194 2.2× 62 1.1× 72 1.5× 42 311
Alexander Brudnyi Canada 12 166 0.7× 280 2.4× 282 3.2× 69 1.2× 59 1.3× 81 429
S. Berhanu United States 10 139 0.6× 150 1.3× 254 2.9× 33 0.6× 70 1.5× 47 330
Aldo J. Lazar Israel 11 253 1.1× 153 1.3× 98 1.1× 121 2.2× 97 2.1× 35 360
Aaron Levin United States 8 63 0.3× 104 0.9× 77 0.9× 48 0.9× 43 0.9× 32 184
Damien Roy Canada 10 158 0.7× 143 1.2× 38 0.4× 89 1.6× 129 2.7× 38 273
Fedor Pakovich Israel 11 73 0.3× 229 2.0× 84 1.0× 39 0.7× 63 1.3× 43 250

Countries citing papers authored by Detta Dickinson

Since Specialization
Citations

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

Fields of papers citing papers by Detta Dickinson

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Detta Dickinson

This figure shows the co-authorship network connecting the top 25 collaborators of Detta Dickinson. A scholar is included among the top collaborators of Detta Dickinson 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 Detta Dickinson. Detta Dickinson 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.
Dickinson, Detta, et al.. (2020). Lower bounds for the number of vectors with algebraic coordinates near smooth surfaces. Doklady of the National Academy of Sciences of Belarus. 64(1). 7–12. 1 indexed citations
2.
Dickinson, Detta, et al.. (2013). Inhomogeneous Diophantine approximation on integer polynomials with non-monotonic error function. Acta Arithmetica. 160(3). 243–257. 2 indexed citations
3.
Dickinson, Detta, et al.. (2012). Simultaneous Diophantine approximation in two metrics and the distance between conjugate algebraic numbers inC×Qp. Indagationes Mathematicae. 23(1-2). 32–41. 1 indexed citations
4.
Dickinson, Detta, et al.. (2012). THE METRIC THEORY OF MIXED TYPE LINEAR FORMS. International Journal of Number Theory. 9(1). 77–90. 5 indexed citations
5.
Bugeaud, Yann, et al.. (2011). On simultaneous rational approximation to ap-adic number and its integral powers. Proceedings of the Edinburgh Mathematical Society. 54(3). 599–612. 9 indexed citations
6.
Dickinson, Detta, et al.. (2011). On the number of polynomials with small discriminants in the Euclidean and p-adic metrics. Acta Mathematica Sinica English Series. 28(3). 469–476. 4 indexed citations
7.
Dickinson, Detta, et al.. (2009). SIMULTANEOUS DIOPHANTINE APPROXIMATION ON POLYNOMIAL CURVES. Mathematika. 56(1). 77–85. 10 indexed citations
8.
Dickinson, Detta, et al.. (2009). Diophantine approximation on non-degenerate curves with non-monotonic error function. Bulletin of the London Mathematical Society. 41(1). 137–146. 4 indexed citations
9.
Dickinson, Detta, et al.. (2008). Simultaneous Diophantine approximation of integral polynomials in the different metrics. Чебышевский сборник. 9. 1 indexed citations
10.
Берник, В. И., et al.. (2008). A divergent Khintchine theorem in the real, complex, and p-adic fields. Lithuanian Mathematical Journal. 48(2). 158–173. 6 indexed citations
11.
Dickinson, Detta, et al.. (2007). Khintchine’s theorem and approximation of zero by the values of integer polynomials in different metrics. Doklady Mathematics. 75(2). 201–203. 2 indexed citations
12.
Beresnevich, Victor, Detta Dickinson, Sanju Velani, & R. C. Vaughan. (2007). Diophantine approximation on planar curves and the distribution of rational points (with an appendix "Sum of two squares near perfect squares" by R.C. Vaughan). White Rose Research Online (University of Leeds, The University of Sheffield, University of York). 2 indexed citations
13.
Beresnevich, Victor, Detta Dickinson, Sanju Velani, & R. C. Vaughan. (2007). Diophantine approximation on planar curves and the distribution of rational points (with an Appendix by R. C. Vaughan). Annals of Mathematics. 166(2). 367–426. 35 indexed citations
14.
Beresnevich, Victor, Detta Dickinson, & Sanju Velani. (2006). Measure theoretic laws for lim sup sets. Memoirs of the American Mathematical Society. 179(846). 0–0. 74 indexed citations
15.
Dickinson, Detta. (2004). IDEAS AND RESULTS FROM THE THEORY OF DIOPHANTINE APPROXIMATION (Diophantine phenomena in differential equations and dynamical systems). Kyoto University Research Information Repository (Kyoto University). 1 indexed citations
16.
Dickinson, Detta, Todor Gramchev, & Masafumi Yoshino. (2002). PERTURBATIONS OF VECTOR FIELDS ON TORI: RESONANT NORMAL FORMS AND DIOPHANTINE PHENOMENA. Proceedings of the Edinburgh Mathematical Society. 45(3). 731–759. 30 indexed citations
17.
Beresnevich, Victor, Detta Dickinson, & Sanju Velani. (2001). Sets of exact 'logarithmic' order in the theory of Diophantine approximation. Mathematische Annalen. 321(2). 253–273. 25 indexed citations
18.
Dickinson, Detta. (1997). Hausdorff measure and linear forms.. Journal für die reine und angewandte Mathematik (Crelles Journal). 490. 1–36. 22 indexed citations
19.
Dickinson, Detta, Todor Gramchev, & Masafumi Yoshino. (1996). First order pseudodifferential operators on the torus: Normal forms, diophantine phenomena and global hypoellipticity. ANNALI DELL UNIVERSITA DI FERRARA. 41(S1). 51–64. 7 indexed citations
20.
Azpeitia, A. G. & Detta Dickinson. (1964). A decision rule in the simplex method that avoids cycling. Numerische Mathematik. 6(1). 329–331. 4 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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