| Research interests | Geometric function theory, circle packings, holomorphic dynamics, discrete probability, two-dimensional statistical mechanics. |
| edward dot crane at gmail dot com | |
| Postal address | Department of Mathematics, Royal Fort Annexe, |
| University Walk, Bristol BS8 1UJ, United Kingdom. |
Graduate course Dynamics of Rational Functions (2007)
Workshop on Hyperbolic Geometry in Complex Analysis 3rd-7th September 2007
The simple harmonic urn (2010)
With Nicholas Georgiou, Stanislav Volkov,
Andrew Wade and Robert Waters.
To appear in Annals of Probability.
Rigidity
of configurations of balls and points in the N-sphere (2010)
With Ian Short.
To appear in Quarterly Journal of Mathematics
A note on the Hayman-Wu theorem (2008)
Computational Methods and Function Theory vol. 8, issue 1-2, pp. 615-624
Conical limit sets and continued fractions (2007)
With Ian Short.
Conformal Geometry and Dynamics, 11 (2007), 224-249.
A bound for Smale's mean value conjecture for complex polynomials (2007)
Bulletin of the London Mathematical Society, vol. 39, No. 5, 781--791.
Extremal polynomials in Smale's mean value conjecture,
Computational Methods and Function Theory
Mean value conjectures for rational maps,
Complex Variables and Elliptic Equations,
On Keogh's length estimate for bounded starlike functions, (with Dinesh
Markose),
Computational Methods and Function Theory,
The area of polynomial images and pre-images,
Bulletin of the London Mathematical Society
Download from
LMS journals online or try this
direct link.
You may be interested in parts of my PhD thesis, entitled "Topics in Conformal Geometry and Dynamics". If you want to print specific pages, it may help you to know that there are fourteen pages before chapter 1 begins on page 1.
© University of Bristol, 2007. Last updated: 08/11/2010.