2 papers
math.MG2020
Sub-Finsler horofunction boundaries of the Heisenberg group
Nate Fisher, Sebastiano Nicolussi Golo
We give a complete analytic and geometric description of the horofunction boundary for polygonal sub-Finsler metrics---that is, those that arise as asymptotic cones of word metrics…
math.GT2020
Stars at infinity in Teichmüller space
Moon Duchin, Nathan Fisher
We investigate a metric structure on the Thurston boundary of Teichmüller space. To do this, we develop tools in sup metrics and apply Minsky's theorem.