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math.CV2026
On generalized embeddability of a non-elliptic self-map
Manuel D. Contreras, Santiago D\'ıaz-Madrigal, Pavel Gumenyuk
We study the structure of the centralizer of a non-elliptic holomorphic self-map of the unit disc and its relation with continuous dynamical structures. We prove that if the identi…
math.CV2026
Simultaneous linearization and centralizers of parabolic self-maps II: positive hyperbolic step
Manuel D. Contreras, Santiago Díaz-Madrigal, Pavel Gumenyuk
The study of holomorphic self-mappings of the unit disc commuting under the composition goes back to A.L. Shields (1964), W.A. Pranger (1970), D.F. Behan (1973), and C.C. Cowen (19…