Currently browsing: Items authored or edited by Ian Short https://orcid.org/0000-0002-7360-4089

Short, Ian (2023). Classifying SL₂-tilings. Transactions of the American Mathematical Society, 376 pp. 1–38.

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Aedo, Ibai; Grimm, Uwe and Short, Ian (2023). Forward limit sets of semigroups of substitutions. arxiv/Forward limit sets of semigroups of substitutions (Early access).

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Gill, Nick; Kimeu, Ngwava and Short, Ian (2022). Nilpotent covers of symmetric and alternating groups. Bulletin of the Belgian Mathematical Society – Simon Stevin, 29(2) pp. 249–266.

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Short, Ian and Stanier, Margaret Rosemary (2022). Necessary and sufficient conditions for convergence of integer continued fractions. Proceedings of the American Mathematical Society, 150(2) pp. 617–631.

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Christodoulou, Argyrios and Short, Ian (2021). Stability of the Denjoy–Wolff theorem. Annales Academiæ Scientiarum Fennicæ, 26 pp. 421–431.

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Jacques, Matthew and Short, Ian (2021). Semigroups of isometries of the hyperbolic plane. International Mathematics Research Notices, 2022(9) pp. 6403–6463.

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Beardon, Alan; Minda, David and Short, Ian (2020). Normal Families of Möbius Maps. Computational Methods and Function Theory, 20 pp. 523–538.

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Jacques, Matthew and Short, Ian (2020). Repeated compositions of Möbius transformations. Ergodic Theory and Dynamical Systems, 40(2) pp. 437–452.

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Short, Ian and Sixsmith, David J. (2019). Escaping sets of continuous functions. Journal d'Analyse Mathematique, 137(2) pp. 875–869.

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Short, Ian and Christodoulou, Argyrios (2019). A hyperbolic-distance inequality for holomorphic maps. Annales Academiæ Scientiarum Fennicæ, Mathematica, 44 pp. 293–300.

Chan, Lax; Grimm, Uwe and Short, Ian (2018). Substitution-based structures with absolutely continuous spectrum. Indagationes Mathematicae, 29(4) pp. 1072–1086.

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Short, Ian and Walker, Mairi (2016). Geodesic Rosen Continued Fractions. The Quarterly Journal of Mathematics, 67(4) pp. 519–549.

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Short, Ian (2016). The parabola theorem on continued fractions. Computational Methods and Function Theory, 16(4) pp. 653–675.

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O'Farrell, Anthony G. and Short, Ian (2015). Reversibility in Dynamics and Group Theory. London Mathematical Society Lecture Note Series, 416. Cambridge: Cambridge University Press.

Beardon, Alan F. and Short, Ian (2014). A geometric representation of continued fractions. American Mathematical Monthly, 121(5) pp. 391–402.

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Short, Ian (2014). Maximal buttonings of trees. Discussiones Mathematicae Graph Theory, 34(2) pp. 415–420.

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Short, Ian and Walker, Mairi (2014). Even-integer continued fractions and the Farey tree. In: SIGMAP 2014, 7 Jul 2014-11 July 2014, West Malvern, UK.

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Gill, Nick; Pyber, László; Short, Ian and Szabó, Endre (2013). On the product decomposition conjecture for finite simple groups. Groups, Geometry, and Dynamics, 7(4) pp. 867–882.

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Short, Ian (2013). Conformal automorphisms of countably connected regions. Conformal Geometry and Dynamics, 17 pp. 1–5.

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Short, Ian and Gill, Nick (2013). Conjugacy in Thompson's group . Proceedings of the American Mathematical Society, 141 pp. 1529–1538.

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Short, Ian (2012). Hausdorff dimension of sets of divergence arising from continued fractions. Proceedings of the American Mathematical Society, 140(4) pp. 1371–1385.

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Beardon, A. F.; Hockman, M. and Short, I. (2012). Geodesic continued fractions. Michigan Mathematical Journal, 61(1) pp. 133–150.

O'Farrell, Anthony; Le Roux, Frédéric; Roginskaya, Maria and Short, Ian (2012). Flowability of plane homeomorphisms. Annales de l'Institut Fourier, 62(2) pp. 619–639.

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Spiegelhalter, David; Pearson, Mike and Short, Ian (2011). Visualizing uncertainty about the future. Science, 333(6048) pp. 1393–1400.

Crane, Edward and Short, Ian (2011). Rigidity of configurations of balls and points in the N-sphere. The Quarterly Journal of Mathematics, 62(2) pp. 351–362.

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Short, Ian (2011). Ford circles, continued fractions, and rational approximation. American Mathematical Monthly, 118(2) pp. 130–135.

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Beardon, Alan F. and Short, Ian (2010). The Seidel, Stern, Stolz and Van Vleck Theorems on continued fractions. Bulletin of the London Mathematical Society, 42(3) pp. 457–466.

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Beardon, Alan F. and Short, Ian (2010). Norms of Möbius maps. Bulletin of the London Mathematical Society, 422(3) pp. 499–505.

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Gill, Nick and Short, Ian (2010). Reversible maps and composites of involutions in groups of piecewise linear homeomorphisms of the real line. Aequationes Mathematicae, 79(1-2) pp. 23–37.

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Gill, Nick; O'Farrell, Anthony G. and Short, Ian (2009). Reversibility in the group of homeomorphisms of the circle. Bulletin of the London Mathematical Society, 41(5) pp. 885–897.

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Parker, John R. and Short, Ian (2009). Conjugacy Classification of Quaternionic Möbius Transformations. Computational Methods and Function Theory, 9(1) pp. 13–25.

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O'Farrell, Anthony and Short, Ian (2009). Reversibility in the Diffeomorphism Group of the Real Line. Publicacions Matemàtiques, 53(2) pp. 401–405.

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Short, Ian (2008). Reversible maps in isometry groups of spherical, Euclidean and hyperbolic space. Mathematical Proceedings of the Royal Irish Academy, 108A(1) pp. 33–46.

Short, Ian (2008). How much money do you need? Mathematical Spectrum, 40(2) pp. 67–72.

Crane, Edward and Short, Ian (2007). Conical limit sets and continued fractions. Conformal Geometry and Dynamics, 11 pp. 224–249.

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Beardon, Alan F. and Short, Ian (2007). Conformal symmetries of regions. Irish Mathematical Society Bulletin, 59(1) pp. 49–60.

Beardon, Alan F. and Short, Ian (2007). Van Vleck's theorem on continued fractions. Computational Methods and Function Theory, 7(1) pp. 185–203.

Lávička, Roman; O'Farrell, Anthony G. and Short, Ian (2007). Reversible maps in the group of quaternionic Möbius transformations. Mathematical Proceedings of the Cambridge Philosophical Society, 143(1) pp. 57–69.

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Short, Ian and Pearson, Mike (2007). Magic letter groups. Mathematical Gazette, 91(522) pp. 493–499.

Short, Ian (2006). Hyperbolic geometry and the Hillam-Thron theorem. Geometriae Dedicata, 119(1) pp. 91–104.

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Short, Ian (2006). The hyperbolic geometry of continued fractions K(1|b_n). Annales Academiae Scientiarum Fennicae Mathematica, 31(2) pp. 315–327.

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Short, Ian (2006). A counterexample to a continued fraction conjecture. Proceedings of the Edinburgh Mathematical Society. Series II, 49(3) pp. 735–737.

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