| dc.identifier.uri | http://hdl.handle.net/11401/78158 | |
| dc.description.sponsorship | This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree | en_US |
| dc.format | Monograph | |
| dc.format.medium | Electronic Resource | en_US |
| dc.language.iso | en_US | |
| dc.type | Dissertation | |
| dcterms.abstract | We use a theorem of Bishop to construct several functions in the Eremenko-Lyubich class $\mathcal{B}$. First it is verified, that in Bishop's initial construction of a wandering domain in $\mathcal{B}$, all wandering Fatou components must be bounded. Next we modify this construction to produce a function in $\mathcal{B}$ with wandering domain and uncountable singular set. Finally we construct a function in $\mathcal{B}$ with unbounded wandering Fatou components. It is shown that these constructions answer two questions posed by Osborne and Sixsmith. | |
| dcterms.available | 2018-03-22T22:39:09Z | |
| dcterms.contributor | Lyubich, Mikhail | en_US |
| dcterms.contributor | Bishop, Christopher J. | en_US |
| dcterms.contributor | Sullivan, Dennis | en_US |
| dcterms.contributor | Merenkov, Sergiy. | en_US |
| dcterms.creator | Lazebnik, Kirill | |
| dcterms.dateAccepted | 2018-03-22T22:39:09Z | |
| dcterms.dateSubmitted | 2018-03-22T22:39:09Z | |
| dcterms.description | Department of Mathematics. | en_US |
| dcterms.extent | 48 pg. | en_US |
| dcterms.format | Application/PDF | en_US |
| dcterms.format | Monograph | |
| dcterms.identifier | http://hdl.handle.net/11401/78158 | |
| dcterms.issued | 2017-08-01 | |
| dcterms.language | en_US | |
| dcterms.provenance | Made available in DSpace on 2018-03-22T22:39:09Z (GMT). No. of bitstreams: 1
Lazebnik_grad.sunysb_0771E_13352.pdf: 459703 bytes, checksum: af83a81632f6822479e65d1dbe1f729e (MD5)
Previous issue date: 2017-08-01 | en |
| dcterms.subject | Mathematics | |
| dcterms.subject | Complex Analysis | |
| dcterms.subject | Complex Dynamics | |
| dcterms.subject | Quasiconformal mappings | |
| dcterms.title | Several Constructions in the Eremenko-Lyubich Class | |
| dcterms.type | Dissertation | |
