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  2. Dr Ian Short

Dr Ian Short

Profile summary

  • Central Academic Staff
  • Senior Lecturer in Analysis
  • Faculty of Science, Technology, Engineering & Mathematics
  • School of Mathematics & Statistics
  • ian.short

Research Activity

Research groups

NameTypeParent Unit
Pure Mathematics Research GroupGroupFaculty of Mathematics, Computing and Technology
Pure Maths: Analysis & Geometry Research GroupGroupFaculty of Mathematics, Computing and Technology

Publications

Repeated compositions of Möbius transformations (2019)
Jacques, Matthew and Short, Ian
Ergodic Theory and Dynamical Systems ((Early Access))
Substitution-based structures with absolutely continuous spectrum (2018)
Chan, Lax; Grimm, Uwe and Short, Ian
Indagationes Mathematicae, 29(4) (pp. 1072-1086)
Geodesic Rosen Continued Fractions (2016-12-30)
Short, Ian and Walker, Mairi
The Quarterly Journal of Mathematics, 67(4) (pp. 519-549)
The parabola theorem on continued fractions (2016-04-11)
Short, Ian
Computational Methods and Function Theory, 16(4) (pp. 653-675)
Escaping sets of continuous functions (2016)
Short, Ian and Sixsmith, David J.
Journal d'Analyse Mathematique ((In Press))
A geometric representation of continued fractions (2014-05)
Beardon, Alan F. and Short, Ian
American Mathematical Monthly, 121(5) (pp. 391-402)
Maximal buttonings of trees (2014)
Short, Ian
Discussiones Mathematicae Graph Theory, 34(2) (pp. 415-420)
On the product decomposition conjecture for finite simple groups (2013-11)
Gill, Nick; Pyber, László; Short, Ian and Szabó, Endre
Groups, Geometry, and Dynamics, 7(4) (pp. 867-882)
Conformal automorphisms of countably connected regions (2013-01-09)
Short, Ian
Conformal Geometry and Dynamics, 17 (pp. 1-5)
Conjugacy in Thompson's group $F$ (2013)
Short, Ian and Gill, Nick
Proceedings of the American Mathematical Society, 141 (pp. 1529-1538)
Hausdorff dimension of sets of divergence arising from continued fractions (2012-04)
Short, Ian
Proceedings of the American Mathematical Society, 140(4) (pp. 1371-1385)
Flowability of plane homeomorphisms (2012)
O'Farrell, Anthony; Le Roux, Frédéric; Roginskaya, Maria and Short, Ian
Annales de l'Institut Fourier, 62(2) (pp. 619-639)
Geodesic continued fractions (2012)
Beardon, A. F.; Hockman, M. and Short, I.
Michigan Mathematical Journal, 61(1) (pp. 133-150)
Visualizing uncertainty about the future (2011-09-09)
Spiegelhalter, David; Pearson, Mike and Short, Ian
Science, 333(6048) (pp. 1393-1400)
Rigidity of configurations of balls and points in the N-sphere (2011-06-29)
Crane, Edward and Short, Ian
The Quarterly Journal of Mathematics, 62(2) (pp. 351-362)
Ford circles, continued fractions, and rational approximation (2011-02)
Short, Ian
American Mathematical Monthly, 118(2) (pp. 130-135)
The Seidel, Stern, Stolz and Van Vleck Theorems on continued fractions (2010-06)
Beardon, Alan F. and Short, Ian
Bulletin of the London Mathematical Society, 42(3) (pp. 457-466)
Norms of Möbius maps (2010-06)
Beardon, Alan F. and Short, Ian
Bulletin of the London Mathematical Society, 422(3) (pp. 499-505)
Reversible maps and composites of involutions in groups of piecewise linear homeomorphisms of the real line (2010-03)
Gill, Nick and Short, Ian
Aequationes Mathematicae, 79(1-2) (pp. 23-37)
Reversibility in the group of homeomorphisms of the circle (2009-10)
Gill, Nick; O'Farrell, Anthony G. and Short, Ian
Bulletin of the London Mathematical Society, 41(5) (pp. 885-897)
Conjugacy classification of quaternionic Möbius transformations (2009)
Parker, John R. and Short, Ian
Computational Methods and Function Theory, 9(1) (pp. 13-25)
Reversibility in the diffeomorphism group of the real line (2009)
O'Farrell, Anthony and Short, Ian
Publicacions Matemàtiques, 53(2) (pp. 401-405)
Reversible maps in isometry groups of spherical, Euclidean and hyperbolic space (2008-09-18)
Short, Ian
Mathematical Proceedings of the Royal Irish Academy, 108A(1) (pp. 33-46)
How much money do you need? (2008-01)
Short, Ian
Mathematical Spectrum, 40(2) (pp. 67-72)
Conical limit sets and continued fractions (2007-10-31)
Crane, Edward and Short, Ian
Conformal Geometry and Dynamics, 11 (pp. 224-249)
Conformal symmetries of regions (2007-07)
Beardon, Alan F. and Short, Ian
Irish Mathematical Society Bulletin, 59(1) (pp. 49-60)
Reversible maps in the group of quaternionic Möbius transformations (2007)
Lávička, Roman; O'Farrell, Anthony G. and Short, Ian
Mathematical Proceedings of the Cambridge Philosophical Society, 143(1) (pp. 57-69)
Van Vleck's theorem on continued fractions (2007)
Beardon, Alan F. and Short, Ian
Computational Methods and Function Theory, 7(1) (pp. 185-203)
Magic letter groups (2007)
Short, Ian and Pearson, Mike
Mathematical Gazette, 91(522) (pp. 493-499)
Hyperbolic geometry and the Hillam-Thron theorem (2006-04-07)
Short, Ian
Geometriae Dedicata, 119(1) (pp. 91-104)
The hyperbolic geometry of continued fractions K(1|bn) (2006)
Short, Ian
Annales Academiae Scientiarum Fennicae Mathematica, 31(2) (pp. 315-327)
A counterexample to a continued fraction conjecture (2006)
Short, Ian
Proceedings of the Edinburgh Mathematical Society. Series II, 49(3) (pp. 735-737)
Reversibility in Dynamics and Group Theory (2015-05-31)
O'Farrell, Anthony G. and Short, Ian
London Mathematical Society Lecture Note Series
ISBN : 9781107442887 | Publisher : Cambridge University Press | Published : Cambridge
Even-integer continued fractions and the Farey tree (2014)
Short, Ian and Walker, Mairi
In : SIGMAP 2014 (7 Jul 2014-11 July 2014, West Malvern, UK)