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math.DS2017★ 13 cited
Exceptional directions for the Teichmüller geodesic flow and Hausdorff dimension
Hamid Al-Saqban, Paul Apisa, Alena Erchenko +3
We prove that for every flat surface , the Hausdorff dimension of the set of directions in which Teichmüller geodesics starting from exhibit a definite amount of deviation f…
math.DS2016★ 6 cited
Perron-Frobenius theory and frequency convergence for reducible substitutions
Martin Lustig, Caglar Uyanik
We prove a general version of the classical Perron-Frobenius convergence property for reducible matrices. We then apply this result to reducible substitutions and use it to produce…