Published October 2019
| Submitted
Journal Article
Open
Univalent wandering domains in the Eremenko-Lyubich class
- Creators
- Fagella, Núria
- Jarque, Xavier
-
Lazebnik, Kirill
Abstract
We use the Folding Theorem of [Bis15] to construct an entire function f in class BB and a wandering domain U of f such that f restricted to f^n (U) is univalent, for all n ≥ 0. The components of the wandering orbit are bounded and surrounded by the postcritical set.
Additional Information
© 2019 The Hebrew University of Jerusalem. Received November 28, 2017 and in revised form February 8, 2018. First Online: 09 November 2019. The first and second authors were partially supported by the Spanish grant MTM2017-86795-C3-3-P, the Maria de Maeztu Excellence Grant MDM-2014-0445, and grant 2017SGR1374 from the Generalitat de Catalunya.Attached Files
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Additional details
- Eprint ID
- 99766
- DOI
- 10.1007/s11854-027-0079-x
- Resolver ID
- CaltechAUTHORS:20191111-081821414
- MTM2017-86795-C3-3-P
- Ministerio de Economía, Industria y Competitividad (MINECO)
- MDM-2014-0445
- Maria de Maeztu Excellence
- 2017SGR1374
- Generalitat de Catalunya
- Created
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2019-11-12Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field