7 citations · 9 across the 3 of their papers we have counts for
3 papers
math.GT2023★ 1 cited
Diameter of Compact Riemann Surfaces
Huck Stepanyants, Alan Beardon, Jeremy Paton +1
Diameter is one of the most basic properties of a geometric object, while Riemann surfaces are one of the most basic geometric objects. Surprisingly, the diameter of compact Rieman…
math.MG2016★ 1 cited
On the k-metric Dimension of Metric Spaces
A. F. Beardon, J. A. Rodriguez-Velazquez
The metric dimension of a general metric space was defined in 1953, applied to the set of vertices of a graph metric in 1975, and developed further for metric spaces in 2013. It wa…
math.CV2007★ 7 cited
Euclidean and hyperbolic lenghs of images of arcs
A. F. Beardon, T. K. Carne
Let be a function that is analytic in the unit disc. We give new estimates, and new proofs of existing estimates, of the Euclidean length of the image under of a radial seg…