3 papers
math.GT2025
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…
math.DS2019
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…
math.GT2016
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…