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arXiv · 1411.1385

Constructing pseudo-Anosov maps with given dilatations

Hyungryul Baik·Ahmad Rafiqi·Chenxi Wu
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Abstract

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 give an explicit construction of the surface and the map when the sufficient condition is met.

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Hyungryul Baik, Ahmad Rafiqi, Chenxi Wu. 2015-02-25. Constructing pseudo-Anosov maps with given dilatations. https://doi.org/10.1007/s10711-015-0089-1

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