Constructing pseudo-Anosov maps with given dilatations

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.

14 pages, 8 figures

Cited by in corpus (2)

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