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Non-autonomous complex dynamical systems.

dc.contributor.authorPeters, Han
dc.contributor.advisorFornaess, John-Erik
dc.date.accessioned2016-08-30T15:51:47Z
dc.date.available2016-08-30T15:51:47Z
dc.date.issued2005
dc.identifier.urihttp://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:3186730
dc.identifier.urihttps://hdl.handle.net/2027.42/125191
dc.description.abstractWe study the orbits of sequences of complex differentiable endomorphisms of complex manifolds. We are in particular interested in the following question: is a stable manifold of a hyperbolic automorphism always biholomorphic to complex Euclidean space? We show this question can be answered in the affirmative if a related conjecture in non-autonomous complex dynamics holds. We investigate this second conjecture, and prove several intermediate results.
dc.format.extent78 p.
dc.languageEnglish
dc.language.isoEN
dc.subjectAutomorphisms
dc.subjectAutonomous
dc.subjectComplex
dc.subjectDynamical
dc.subjectManifolds
dc.subjectNon
dc.subjectNonautonomous
dc.subjectSystems
dc.titleNon-autonomous complex dynamical systems.
dc.typeThesis
dc.description.thesisdegreenamePhDen_US
dc.description.thesisdegreedisciplineMathematics
dc.description.thesisdegreedisciplinePure Sciences
dc.description.thesisdegreegrantorUniversity of Michigan, Horace H. Rackham School of Graduate Studies
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/125191/2/3186730.pdf
dc.owningcollnameDissertations and Theses (Ph.D. and Master's)


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