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Near Parabolic Renormalization for Unicritical Holomorphic Maps

Near Parabolic Renormalization for Unicritical Holomorphic Maps Inou and Shishikura provided a class of maps that is invariant by near-parabolic renormalization, and that has proved extremely useful in the study of the dynamics of quadratic polynomials. We provide here another construction, using more general arguments. This will allow to extend the range of applications to unicritical polynomials of all degrees. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Arnold Mathematical Journal Springer Journals

Near Parabolic Renormalization for Unicritical Holomorphic Maps

Arnold Mathematical Journal , Volume 8 (2) – Jun 1, 2022

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References (38)

Publisher
Springer Journals
Copyright
Copyright © Institute for Mathematical Sciences (IMS), Stony Brook University, NY 2021
ISSN
2199-6792
eISSN
2199-6806
DOI
10.1007/s40598-020-00172-6
Publisher site
See Article on Publisher Site

Abstract

Inou and Shishikura provided a class of maps that is invariant by near-parabolic renormalization, and that has proved extremely useful in the study of the dynamics of quadratic polynomials. We provide here another construction, using more general arguments. This will allow to extend the range of applications to unicritical polynomials of all degrees.

Journal

Arnold Mathematical JournalSpringer Journals

Published: Jun 1, 2022

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