4 citations · 13 across the 16 of their papers we have counts for
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math.DS2019
Perturbations of graphs for Newton maps
Yan Gao, Hongming Nie
We study the convergence of graphs consisting of finitely many internal rays for degenerating Newton maps. We state a sufficient condition to guarantee the convergence. As an appli…
math.DS2019
Siegel disks of the tangent family
Weiwei Cui, Hongming Nie
We study Siegel disks in the dynamics of functions from the tangent family. In particular, we prove that a forward invariant Siegel disk is unbounded if and only if it contains at…
math.DS2019★ 4 cited
Bounded hyperbolic components of bicritical rational maps
Hongming Nie, Kevin M. Pilgrim
We prove that the hyperbolic components of bicritical rational maps having two distinct attracting cycles each of period at least two are bounded in the moduli space of bicritical…