Dynamical Belyi maps Article Swipe
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Jacqueline Anderson
,
Irene I. Bouw
,
Özlem Ejder
,
Neslihan Girgin
,
Valentijn Karemaker
,
Michelle Manes
·
YOU?
·
· 2017
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1703.08563
· OA: W4293713266
YOU?
·
· 2017
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1703.08563
· OA: W4293713266
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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