Show simple item record

dc.contributor.advisorChairperson, Graduate Committee: Lukas Geyeren
dc.contributor.authorManlove, Joseph Michael.en
dc.date.accessioned2016-01-03T16:48:37Z
dc.date.available2016-01-03T16:48:37Z
dc.date.issued2015en
dc.identifier.urihttps://scholarworks.montana.edu/xmlui/handle/1/9061
dc.description.abstractThe results presented here answers in part a conjecture of Douady about sharpness of the Brjuno condition. Douady hypothesized that a Siegel disk exists for a rational function if and only if the Brjuno condition is satisfied by the rotation number. It is known that the Brjuno condition is sharp for quadratic polynomials and many special families. This thesis focuses on a class of rational functions, many of which have not been considered previously. Specific examples of maps for which these results apply include quadratic rational maps with an attracting cycle. Also included are those rational functions arising of Newton's method on cubic polynomials with distinct roots.en
dc.language.isoengen
dc.publisherMontana State University - Bozeman, College of Letters & Scienceen
dc.subject.lcshFatou sets.en
dc.subject.lcshRational equivalence (Algabraic geometry).en
dc.subject.lcshHomeomorphisms.en
dc.titleAllowable rotation numbers for siegel disks of rational mapsen
dc.typeDissertationen
dc.rights.holderCopyright 2015 by Joseph Michael Manlove.en
thesis.catalog.ckey2759028en
thesis.degree.committeemembersMembers, Graduate Committee: Lukas Geyer (chairperson); Jaroslaw Kwapisz; Marcy Barge; Kevin Wildrick; David Ayala.en
thesis.degree.departmentMathematical Sciences.en
thesis.degree.genreDissertationen
thesis.degree.namePhDen
thesis.format.extentfirstpage1en
thesis.format.extentlastpage61en


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record