Constructing pseudo-Anosov maps with given dilatations
classification
🧮 math.GT
math.DS
keywords
givegivenpseudo-anosovsufficientsurfaceaperiodiccompactcondition
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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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