On parabolic external maps

Luna Lomonaco, Carsten Lunde Petersen, Weixiao Shen

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Abstract

We prove that any C1+BV degree d ≥ 2 circle covering h having all periodic orbits weakly expanding, is conjugate by a C1+BV diffeomorphism to a metrically expanding map. We use this to connect the space of parabolic external maps (coming from the theory of parabolic-like maps) to metrically expanding circle coverings.
OriginalsprogEngelsk
TidsskriftDiscrete and Continuous Dynamical Systems. Series A
Vol/bind37
Udgave nummer10
Sider (fra-til)5085-5104
ISSN1078-0947
DOI
StatusUdgivet - 1 okt. 2017

Emneord

  • holomorphic dynamics

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