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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

ON PARABOLIC EXTERNAL MAPS

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Author(s):
Lomonaco, Luna ; Petersen, Carsten Lunde ; Shen, Weixiao
Total Authors: 3
Document type: Journal article
Source: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; v. 37, n. 10, p. 5085-5104, OCT 2017.
Web of Science Citations: 0
Abstract

We prove that any c(1)+(BV) degree d >= 2 circle covering h having all periodic orbits weakly expanding, is conjugate by a C-1+(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. (AU)

FAPESP's process: 13/20480-7 - Parabolic phenomena in complex dynamics
Grantee:Luciana Luna Anna Lomonaco
Support Opportunities: Scholarships in Brazil - Post-Doctoral