7 citations · 7 across the 4 of their papers we have counts for
4 papers
A Simple Computation of Teichmüller Polynomials from Integer Permutations
Ahmad Rafiqi
We present a simple method to compute the Teichmüller polynomial of the fibered face of a hyperbolic -manifold obtained as the mapping torus of a pseudo-Anosov homeomorphi…
Creating pseudo-Anosov Maps from Permutations and Matrices
John H. Hubbard, Ahmad Rafiqi, Tom Schang
We provide an integral combinatorial characterization of pseudo-Anosov maps on closed oriented surfaces of genus g > 1. We show that an orientation-preserving pseudo-Anosov homeomo…
Is a typical bi-Perron number a pseudo-Anosov dilatation?
Hyungryul Baik, Ahmad Rafiqi, Chenxi Wu
In this note, we deduce a partial answer to the question in the title. In particular, we show that asymptotically almost all bi-Perron algebraic unit whose characteristic polynomia…
Constructing pseudo-Anosov maps with given dilatations
Hyungryul Baik, Ahmad Rafiqi, Chenxi Wu
In this paper, we give sufficient conditions for a Perron number, given as the leading eigenvalue of an aperiodic matrix, to be a pseudo-Anosov dilatation of a compact surface. We…