4 citations · 13 across the 16 of their papers we have counts for
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Indeterminacy loci of iterate maps in moduli space
Jan Kiwi, Hongming Nie
The moduli space of rational maps in one complex variable of degree has a natural compactification by a projective variety pr…
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…
Compactifications of the moduli spaces of Newton maps
Hongming Nie
We study various compactifications of moduli space of Newton maps. Mainly, we focus on GIT compactifiaction and Deligne-Mumford compactification. Then we explore the relations amon…
Iteration at the Boundary of Newton Maps
Hongming Nie
Let be a holomorphic family of degree Newton maps. By studying the related Berkovich dynamics, we obtain an estimate of the weak limit of the maximal measures of…