R. G. Halburd

934 total citations
13 papers, 566 citations indexed

About

R. G. Halburd is a scholar working on Geometry and Topology, Applied Mathematics and Statistical and Nonlinear Physics. According to data from OpenAlex, R. G. Halburd has authored 13 papers receiving a total of 566 indexed citations (citations by other indexed papers that have themselves been cited), including 9 papers in Geometry and Topology, 8 papers in Applied Mathematics and 7 papers in Statistical and Nonlinear Physics. Recurrent topics in R. G. Halburd's work include Advanced Differential Equations and Dynamical Systems (9 papers), Meromorphic and Entire Functions (7 papers) and Nonlinear Waves and Solitons (7 papers). R. G. Halburd is often cited by papers focused on Advanced Differential Equations and Dynamical Systems (9 papers), Meromorphic and Entire Functions (7 papers) and Nonlinear Waves and Solitons (7 papers). R. G. Halburd collaborates with scholars based in United Kingdom, Australia and United States. R. G. Halburd's co-authors include Risto Korhonen, Mark J. Ablowitz, B. M. Herbst, Kazuya Tohge, Nalini Joshi, A. Ramani, B. Grammaticos, Martin D. Kruskal and Galina Filipuk and has published in prestigious journals such as Transactions of the American Mathematical Society, Journal of Mathematical Physics and Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences.

In The Last Decade

R. G. Halburd

13 papers receiving 530 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
R. G. Halburd United Kingdom 10 443 391 116 35 35 13 566
Rod Halburd United Kingdom 8 589 1.3× 522 1.3× 115 1.0× 37 1.1× 25 0.7× 18 698
Hidetaka Sakai Japan 7 65 0.1× 324 0.8× 357 3.1× 86 2.5× 54 1.5× 10 429
Nancy K. Stanton United States 12 288 0.7× 161 0.4× 44 0.4× 48 1.4× 47 1.3× 28 431
А. В. Жибер Russia 9 68 0.2× 128 0.3× 278 2.4× 38 1.1× 23 0.7× 23 326
Jian Cao China 12 380 0.9× 84 0.2× 80 0.7× 202 5.8× 28 0.8× 59 417
Martin A. Guest Japan 14 152 0.3× 376 1.0× 165 1.4× 103 2.9× 51 1.5× 42 487
Galina Filipuk Poland 9 156 0.4× 103 0.3× 205 1.8× 75 2.1× 45 1.3× 70 315
С. И. Безродных Russia 10 147 0.3× 52 0.1× 27 0.2× 11 0.3× 56 1.6× 56 235
V. V. Zharinov Russia 9 76 0.2× 59 0.2× 88 0.8× 40 1.1× 18 0.5× 52 258
Robert Lockhart United States 6 176 0.4× 134 0.3× 16 0.1× 14 0.4× 42 1.2× 12 292

Countries citing papers authored by R. G. Halburd

Since Specialization
Citations

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

Fields of papers citing papers by R. G. Halburd

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by R. G. Halburd. 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 R. G. Halburd. The network helps show where R. G. Halburd may publish in the future.

Co-authorship network of co-authors of R. G. Halburd

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

All Works

13 of 13 papers shown
1.
Halburd, R. G.. (2017). Elementary exact calculations of degree growth and entropy for discrete equations. Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences. 473(2201). 20160831–20160831. 11 indexed citations
2.
Halburd, R. G., Risto Korhonen, & Kazuya Tohge. (2014). Holomorphic curves with shift-invariant hyperplane preimages. Transactions of the American Mathematical Society. 366(8). 4267–4298. 120 indexed citations
3.
Filipuk, Galina & R. G. Halburd. (2009). Movable Singularities of Equations of Liénard Type. Computational Methods and Function Theory. 9(2). 551–563. 5 indexed citations
4.
Grammaticos, B., et al.. (2009). How to detect the integrability of discrete systems. Journal of Physics A Mathematical and Theoretical. 42(45). 454002–454002. 27 indexed citations
5.
Halburd, R. G., et al.. (2008). Tropical Nevanlinna Theory and Ultradiscrete Equations. International Mathematics Research Notices. 13 indexed citations
6.
Halburd, R. G.. (2008). Partial Differential Equations in General Relativity. Journal of Physics A Mathematical and Theoretical. 41(47). 479003–479003. 22 indexed citations
7.
Kruskal, Martin D., Nalini Joshi, & R. G. Halburd. (2007). Analytic and asymptotic methods for nonlinear singularity analysis: a review and extensions of tests for the Painlevé property. Lecture notes in physics. 171–205. 15 indexed citations
8.
Halburd, R. G. & Risto Korhonen. (2007). Meromorphic solutions of difference equations, integrability and the discrete Painlevé equations. Journal of Physics A Mathematical and Theoretical. 40(6). R1–R38. 77 indexed citations
9.
Halburd, R. G., et al.. (2007). Nevanlinna theory for the $q$-difference operator and meromorphic solutions of $q$-difference equations. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 137(3). 457–474. 79 indexed citations
10.
Halburd, R. G.. (2002). Shear-free relativistic fluids and the absence of movable branch points. Journal of Mathematical Physics. 43(4). 1966–1979. 3 indexed citations
11.
Ablowitz, Mark J., R. G. Halburd, & B. M. Herbst. (2000). On the extension of the Painlevé property to difference equations. Nonlinearity. 13(3). 889–905. 164 indexed citations
12.
Ablowitz, Mark J., R. G. Halburd, & B. M. Herbst. (2000). On the extension of the Painlevproperty to difference equations. 1 indexed citations
13.
Joshi, Nalini, et al.. (1992). Nonlinear nonautonomous discrete dynamical systems from a general discrete isomonodromy problem. Letters in Mathematical Physics. 26(2). 123–131. 29 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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