Philip Boyland

1.1k total citations
26 papers, 577 citations indexed

About

Philip Boyland is a scholar working on Mathematical Physics, Geometry and Topology and Statistical and Nonlinear Physics. According to data from OpenAlex, Philip Boyland has authored 26 papers receiving a total of 577 indexed citations (citations by other indexed papers that have themselves been cited), including 24 papers in Mathematical Physics, 14 papers in Geometry and Topology and 13 papers in Statistical and Nonlinear Physics. Recurrent topics in Philip Boyland's work include Mathematical Dynamics and Fractals (24 papers), Quantum chaos and dynamical systems (12 papers) and Geometric and Algebraic Topology (10 papers). Philip Boyland is often cited by papers focused on Mathematical Dynamics and Fractals (24 papers), Quantum chaos and dynamical systems (12 papers) and Geometric and Algebraic Topology (10 papers). Philip Boyland collaborates with scholars based in United States, United Kingdom and Brazil. Philip Boyland's co-authors include Mark A. Stremler, Hassan Aref, Toby Hall, Glen R. Hall, André de Carvalho, Christophe Golé, Vanessa López, Michael T. Heath, Robert Moser and Toby Hall and has published in prestigious journals such as Journal of Fluid Mechanics, Communications in Mathematical Physics and Physica D Nonlinear Phenomena.

In The Last Decade

Philip Boyland

23 papers receiving 526 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Philip Boyland United States 11 326 309 175 103 66 26 577
Jürgen Scheurle Germany 10 359 1.1× 145 0.5× 106 0.6× 66 0.6× 28 0.4× 30 554
Mariana Hărăguş France 12 319 1.0× 212 0.7× 31 0.2× 183 1.8× 48 0.7× 26 603
Валерий Васильевич Козлов Russia 14 341 1.0× 134 0.4× 97 0.6× 20 0.2× 37 0.6× 104 667
William D. Kalies United States 15 167 0.5× 168 0.5× 61 0.3× 74 0.7× 27 0.4× 31 632
Rob Sturman United Kingdom 11 192 0.6× 131 0.4× 39 0.2× 86 0.8× 73 1.1× 23 355
Reiner Lauterbach Germany 9 170 0.5× 69 0.2× 108 0.6× 154 1.5× 30 0.5× 22 383
J. M. Gambaudo France 11 218 0.7× 181 0.6× 104 0.6× 153 1.5× 18 0.3× 21 383
Evelyn Sander United States 15 257 0.8× 116 0.4× 68 0.4× 130 1.3× 28 0.4× 44 452
Masaya Yamaguti Japan 12 137 0.4× 151 0.5× 61 0.3× 96 0.9× 39 0.6× 31 480
Niurka R. Quintero Spain 18 662 2.0× 82 0.3× 20 0.1× 340 3.3× 33 0.5× 65 822

Countries citing papers authored by Philip Boyland

Since Specialization
Citations

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

Fields of papers citing papers by Philip Boyland

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Philip Boyland

This figure shows the co-authorship network connecting the top 25 collaborators of Philip Boyland. A scholar is included among the top collaborators of Philip Boyland 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 Philip Boyland. Philip Boyland 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.
Boyland, Philip, André de Carvalho, & Toby Hall. (2024). The dynamics of measurable pseudo-Anosov maps. Fundamenta Mathematicae. 267(1). 1–24.
2.
Boyland, Philip. (2023). On the abundance of k-fold semi-monotone minimal sets in bimodal circle maps. Ergodic Theory and Dynamical Systems. 44(5). 1269–1314.
3.
Boyland, Philip, André de Carvalho, & Toby Hall. (2017). Natural extensions of unimodal maps: prime ends of planar embeddings and semi-conjugacy to sphere homeomorphisms. arXiv (Cornell University). 1 indexed citations
4.
Boyland, Philip, André de Carvalho, & Toby Hall. (2017). Itineraries for inverse limits of tent maps: A backward view. Topology and its Applications. 232. 1–12. 4 indexed citations
5.
Boyland, Philip, André de Carvalho, & Toby Hall. (2016). On digit frequencies in 𝛽-expansions. Transactions of the American Mathematical Society. 368(12). 8633–8674. 3 indexed citations
6.
Boyland, Philip, André de Carvalho, & Toby Hall. (2015). New rotation sets in a family of torus homeomorphisms. Inventiones mathematicae. 204(3). 895–937. 11 indexed citations
7.
Boyland, Philip, André de Carvalho, & Toby Hall. (2014). Symbol ratio minimax sequences in the lexicographic order. Ergodic Theory and Dynamical Systems. 35(8). 2371–2396. 2 indexed citations
8.
Boyland, Philip, André de Carvalho, & Toby Hall. (2013). Inverse limits as attractors in parameterized families. Bulletin of the London Mathematical Society. 45(5). 1075–1085. 10 indexed citations
9.
Boyland, Philip, et al.. (2011). The entropy efficiency of point-push mapping classes on the punctured disk. Algebraic & Geometric Topology. 11(4). 2265–2296.
10.
Boyland, Philip. (2005). Semiconjugacies to angle-doubling. Proceedings of the American Mathematical Society. 134(5). 1299–1307. 5 indexed citations
11.
Boyland, Philip. (2004). Dynamics of two-dimensional time-periodic Euler fluid flows. Topology and its Applications. 152(1-2). 87–106. 3 indexed citations
12.
Boyland, Philip, Hassan Aref, & Mark A. Stremler. (2000). Topological fluid mechanics of stirring. Journal of Fluid Mechanics. 403. 277–304. 104 indexed citations
13.
Boyland, Philip. (2000). New dynamical invariants on hyperbolic manifolds. Israel Journal of Mathematics. 119(1). 253–289. 1 indexed citations
14.
Boyland, Philip & Toby Hall. (1999). Isotopy Stable Dynamics Relative to Compact Invariant Sets. Proceedings of the London Mathematical Society. 79(3). 673–693. 5 indexed citations
15.
Boyland, Philip & Christophe Golé. (1996). Lagrangian Systems on Hyperbolic Manifolds. 9 indexed citations
16.
Boyland, Philip. (1994). Topological methods in surface dynamics. Topology and its Applications. 58(3). 223–298. 87 indexed citations
17.
Boyland, Philip. (1992). Rotation sets and monotone periodic orbits for annulus homeomorphisms. Commentarii Mathematici Helvetici. 67(1). 203–213. 17 indexed citations
18.
Boyland, Philip, et al.. (1988). Rotation sets and Morse decompositions in twist maps. Ergodic Theory and Dynamical Systems. 8(8). 33–61. 14 indexed citations
19.
Boyland, Philip & Glen R. Hall. (1987). Invariant circles and the order structure of periodic orbits in monotone twist maps. Topology. 26(1). 21–35. 25 indexed citations
20.
Boyland, Philip. (1987). Invariant circles and rotation bands in monotone twist maps. Communications in Mathematical Physics. 113(1). 67–77. 8 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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