251 citations · 827 across the 103 of their papers we have counts for
114 papers
Lipschitz constants and quadruple symmetrization by Möbius transformations
Oona Rainio, Matti Vuorinen
Due to the invariance properties of cross-ratio, Möbius transformations are often used to map a set of points or other geometric object into a symmetric position to simplify a prob…
Fast computation of analytic capacity
Mohamed M S Nasser, Christopher C. Green, Matti Vuorinen
A boundary integral equation method is presented for fast computation of the analytic capacities of compact sets in the complex plane. The method is based on using the Kerzman--Ste…
Uniformly perfect sets, Hausdorff dimension, and conformal capacity
Oona Rainio, Toshiyuki Sugawa, Matti Vuorinen
Using the definition of uniformly perfect sets in terms of convergent sequences, we apply lower bounds for the Hausdorff content of a uniformly perfect subset of …
Formulas for the visual angle metric
Masayo Fujimura, Rahim Kargar, Matti Vuorinen
We prove several new formulas for the visual angle metric of the unit disk in terms of the hyperbolic metric and apply these to prove a sharp Schwarz lemma for the visual angle met…
Hilbert metric in the unit ball
Oona Rainio, Matti Vuorinen
The Hilbert metric between two points in a bounded convex domain is defined as the logarithm of the cross-ratio of and the intersection points of the Euclidean line…
Mobile disks in hyperbolic space and minimization of conformal capacity
Harri Hakula, Mohamed M. S. Nasser, Matti Vuorinen
Our focus is to study constellations of disjoint disks in the hyperbolic space, the unit disk equipped with the hyperbolic metric. Each constellation corresponds to a set which…