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The dynamics of complex box mappings
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Clark, Trevor, Drach, Kostiantyn, Kozlovski, Oleg and van Strien, Sebastian (2022) The dynamics of complex box mappings. Arnold Mathematical Journal, 8 . 319-410 . doi:10.1007/s40598-022-00200-7 ISSN 2199-6792.
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Official URL: https://doi.org/10.1007/s40598-022-00200-7
Abstract
In holomorphic dynamics, complex box mappings arise as first return maps to well-chosen domains. They are a generalization of polynomial-like mapping, where the domain of the return map can have infinitely many components. They turned out to be extremely useful in tackling diverse problems.
Item Type: | Journal Article | |||||||||
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Subjects: | Q Science > QA Mathematics | |||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | |||||||||
Library of Congress Subject Headings (LCSH): | Holomorphic mappings | |||||||||
Journal or Publication Title: | Arnold Mathematical Journal | |||||||||
Publisher: | Springer | |||||||||
ISSN: | 2199-6792 | |||||||||
Official Date: | June 2022 | |||||||||
Dates: |
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Volume: | 8 | |||||||||
Page Range: | 319-410 | |||||||||
DOI: | 10.1007/s40598-022-00200-7 | |||||||||
Status: | Peer Reviewed | |||||||||
Publication Status: | Published | |||||||||
Reuse Statement (publisher, data, author rights): | “This version of the article has been accepted for publication, after peer review (when applicable) but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s40598-022-00200-7. Use of this Accepted Version is subject to the publisher’s Accepted Manuscript terms of use https://www.springernature.com/gp/open-research/policies/acceptedmanuscript-terms”." | |||||||||
Access rights to Published version: | Restricted or Subscription Access | |||||||||
Date of first compliant deposit: | 11 April 2022 | |||||||||
Date of first compliant Open Access: | 27 May 2023 | |||||||||
RIOXX Funder/Project Grant: |
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