15 citations · 19 across the 6 of their papers we have counts for
6 papers
Hilbert metric and Hölder continuity of quasiregular mappings
Şahsene Altınkaya, Masayo Fujimura, Marcelina Mocanu +1
We prove several formulas for the Hilbert metric in the unit disk and apply these results to study quasiregular mappings of the unit disk onto a bounded convex domai…
Generalizations of four hyperbolic-type metrics and Gromov hyperbolicity
Marcelina Mocanu
We study in the setting of a metric space some generalizations of four hyperbolic-type metrics defined on open sets with nonempty boundary in the dimen…
The Ptolemy-Alhazen problem and quadric surface mirror reflection
Masayo Fujimura, Marcelina Mocanu, Matti Vuorinen
We discuss the problem of the reflection of light on spherical and quadric surface mirrors. In the case of spherical mirrors, this problem is known as the Alhazen problem. For the…
A new intrinsic metric and quasiregular maps
Masayo Fujimura, Marcelina Mocanu, Matti Vuorinen
We introduce a new intrinsic metric in subdomains of a metric space and give upper and lower bounds for it in terms of well-known metrics. We also prove distortion results for this…
Barrlund's distance function and quasiconformal maps
Masayo Fujimura, Marcelina Mocanu, Matti Vuorinen
Answering a question about triangle inequality suggested by R. Li, A. Barrlund introduced a distance function which is a metric on a subdomain of We study this B…
The Ptolemy-Alhazen problem and spherical mirror reflection
Masayo Fujimura, Parisa Hariri, Marcelina Mocanu +1
An ancient optics problem of Ptolemy, studied later by Alhazen, is discussed. This problem deals with reflection of light in spherical mirrors. Mathematically this reduces to the s…