4 papers
Higher -Continued Fractions
Amanda Burcroff, Nicholas Ovenhouse, Ralf Schiffler +1
We introduce a -analog of the higher continued fractions introduced by the last three authors in a previous work (together with Gregg Musiker), which are simultaneously a genera…
Eigenvalues of matrix products
Richard Kenyon, Nicholas Ovenhouse
We study pairs of matrices such that the eigenvalues of , of and of the product are specified in advance. We show that the space of such pair…
Some Aspects of Higher Continued Fractions
Etan Basser, Nicholas Ovenhouse, Anuj Sakarda
We investigate some properties of the higher continued fractions defined recently by Musiker, Ovenhouse, Schiffler, and Zhang. We prove that the maps defining the higher continued…
Matrix Formulae for Decorated Super Teichmüller Spaces
Gregg Musiker, Nicholas Ovenhouse, Sylvester W. Zhang
For an arc on a bordered surface with marked points, we associate a holonomy matrix using a product of elements of the supergroup , which defines a flat $\mathrm…