Toby Hall

474 total citations
24 papers, 225 citations indexed

About

Toby Hall is a scholar working on Mathematical Physics, Geometry and Topology and Statistical and Nonlinear Physics. According to data from OpenAlex, Toby Hall has authored 24 papers receiving a total of 225 indexed citations (citations by other indexed papers that have themselves been cited), including 23 papers in Mathematical Physics, 15 papers in Geometry and Topology and 8 papers in Statistical and Nonlinear Physics. Recurrent topics in Toby Hall's work include Mathematical Dynamics and Fractals (22 papers), Geometric and Algebraic Topology (13 papers) and Quantum chaos and dynamical systems (8 papers). Toby Hall is often cited by papers focused on Mathematical Dynamics and Fractals (22 papers), Geometric and Algebraic Topology (13 papers) and Quantum chaos and dynamical systems (8 papers). Toby Hall collaborates with scholars based in United Kingdom, United States and France. Toby Hall's co-authors include André de Carvalho, Philip Boyland, Paul Glendinning, H. A. COLLIN, Emmanuelle Gouillart, Jean‐Luc Thiffeault, Jean-Marc Gambaudo and John Guaschi and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Physical Review Letters and Annals of Botany.

In The Last Decade

Toby Hall

21 papers receiving 214 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Toby Hall United Kingdom	10	172	125	90	38	32	24	225
Weixiao Shen China	12	347 2.0×	198 1.6×	170 1.9×	25 0.7×	40 1.3×	35	380
Ph. Thieullen France	9	216 1.3×	139 1.1×	69 0.8×	49 1.3×	42 1.3×	12	272
Juan Rivera‐Letelier Chile	13	444 2.6×	169 1.4×	246 2.7×	15 0.4×	55 1.7×	38	476
Nelson G. Markley United States	9	197 1.1×	50 0.4×	133 1.5×	16 0.4×	60 1.9×	36	267
Yongluo Cao China	11	425 2.5×	261 2.1×	105 1.2×	32 0.8×	30 0.9×	53	454
Balázs Bárány Hungary	8	139 0.8×	55 0.4×	36 0.4×	8 0.2×	30 0.9×	26	159
Paulo Varandas Brazil	10	327 1.9×	189 1.5×	103 1.1×	27 0.7×	15 0.5×	56	342
Mary Rees United Kingdom	9	271 1.6×	100 0.8×	192 2.1×	6 0.2×	36 1.1×	20	312
Anna Zdunik Poland	9	305 1.8×	100 0.8×	200 2.2×	7 0.2×	35 1.1×	32	328
Amie Wilkinson United States	14	539 3.1×	396 3.2×	268 3.0×	30 0.8×	30 0.9×	37	575

Countries citing papers authored by Toby Hall

Since Specialization

Citations

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

Fields of papers citing papers by Toby Hall

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Toby Hall

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

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

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

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

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

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

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

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

Carvalho, André de & Toby Hall. (2010). Paper surfaces and dynamical limits. Proceedings of the National Academy of Sciences. 107(32). 14030–14035.

Hall, Toby, et al.. (2009). On the topological entropy of families of braids. Topology and its Applications. 156(8). 1554–1564. 7 indexed citations

Thiffeault, Jean‐Luc, et al.. (2008). Topology of chaotic mixing patterns. Chaos An Interdisciplinary Journal of Nonlinear Science. 18(3). 33123–33123. 13 indexed citations

10.

Carvalho, André de & Toby Hall. (2004). Unimodal generalized pseudo-Anosov maps. Geometry & Topology. 8(3). 1127–1188. 7 indexed citations

11.

Carvalho, André de & Toby Hall. (2003). Braid forcing and star-shaped train tracks. Topology. 43(2). 247–287. 10 indexed citations

12.

Carvalho, André de & Toby Hall. (2002). How to prune a horseshoe. Nonlinearity. 15(3). R19–R68. 14 indexed citations

13.

Carvalho, André de & Toby Hall. (2002). The Forcing Relation for Horseshoe Braid Types. Experimental Mathematics. 11(2). 271–288. 13 indexed citations

14.

Carvalho, André de & Toby Hall. (2001). Pruning theory and Thurston's classification of surface homeomorphisms. Journal of the European Mathematical Society. 3(4). 287–333. 7 indexed citations

15.

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

16.

Glendinning, Paul & Toby Hall. (1996). . Nonlinearity. 9(4). 999–1014. 23 indexed citations

17.

Gambaudo, Jean-Marc, John Guaschi, & Toby Hall. (1994). Period-multiplying cascades for diffeomorphisms of the disc. Mathematical Proceedings of the Cambridge Philosophical Society. 116(2). 359–374.

18.

Hall, Toby. (1994). Fat one-dimensional representatives of pseudo-Anosov isotopy classes with minimal periodic orbit structure. Nonlinearity. 7(2). 367–384. 9 indexed citations

19.

Hall, Toby. (1993). Weak universality in two-dimensional transitions to chaos. Physical Review Letters. 71(1). 58–61. 19 indexed citations

20.

Hall, Toby & H. A. COLLIN. (1975). Initiation and Growth of Tissue Cultures of Theobroma cacao. Annals of Botany. 39(3). 555–570. 14 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.

Explore authors with similar magnitude of impact