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math.DS2019★ 8 cited
Positive Transversality via transfer operators and holomorphic motions with applications to monotonicity for interval maps
Genadi Levin, Weixiao Shen, Sebastian van Strien
In this paper we will develop a general approach which shows that generalized "critical relations" of families of locally defined holomorphic maps on the complex plane unfold trans…
math.DS2019
Transversality in the setting of hyperbolic and parabolic maps
Genadi Levin, Weixiao Shen, Sebastian van Strien
In this paper we consider families of holomorphic maps defined on subsets of the complex plane, and show that the technique developed in \cite{LSvS1} to treat unfolding of critical…