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math.DS2018
Rationality is decidable for nearly Euclidean Thurston maps
William Floyd, Walter Parry, Kevin M. Pilgrim
Nearly Euclidean Thurston (NET) maps are described by simple diagrams which admit a natural notion of size. Given a size bound , there are finitely many diagrams of size at most…
math.DS2018
Boundedness of Hyperbolic Components of Newton Maps
Hongming Nie, Kevin M. Pilgrim
We investigate boundedness of hyperbolic components in the moduli space of Newton maps. For quartic maps, (i) we prove hyperbolic components possessing two distinct attracting cycl…