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math.DS2015★ 1 cited
A classification of postcritically finite Newton maps
Russell Lodge, Yauhen Mikulich, Dierk Schleicher
The dynamical classification of rational maps is a central concern of holomorphic dynamics. Much progress has been made, especially on the classification of polynomials and some ap…
math.DS2015
Combinatorial properties of Newton maps
Russell Lodge, Yauhen Mikulich, Dierk Schleicher
This paper constructs a combinatorial model for all postcritically finite rational maps arising as the Newton's method of a complex polynomial. This model is used in [LMS] to give…