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arXiv · 1703.08563

Dynamical Belyi maps

Jacqueline Anderson·Irene Bouw·Ozlem Ejder·Neslihan Girgin·Valentijn Karemaker·Michelle Manes
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Abstract

We study the dynamical properties of a large class of rational maps with exactly three ramification points. By constructing families of such maps, we obtain infinitely many conservative maps of degree $d$; this answers a question of Silverman. Rather precise results on the reduction of these maps yield strong information on the rational dynamics.

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Jacqueline Anderson, Irene Bouw, Ozlem Ejder, Neslihan Girgin, Valentijn Karemaker, Michelle Manes. 2017-03-24. Dynamical Belyi maps. https://arxiv.org/abs/1703.08563

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