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Monodromy And Henon Mappings

dc.contributor.authorLipa, Christopheren_US
dc.date.accessioned2009-10-13T20:16:58Z
dc.date.available2014-10-13T06:27:55Z
dc.date.issued2009-10-13T20:16:58Z
dc.description.abstractWe discuss the monodromy action of loops in the horseshoe locus of the Henon map on its Julia set. We will show that for a particular class of loops there is a certain combinatorially-defined subset of the Henon Julia set which must remain invariant under the monodromy action of loops in certain regions. We will then describe a conjecture for what the monodromy actions of these loops are as well as a possible connection between the algebraic structure of automorphisms of the full 2-shift and the existence of certain types of loops in the horseshoe locus.en_US
dc.identifier.otherbibid: 6714331
dc.identifier.urihttps://hdl.handle.net/1813/13917
dc.language.isoen_USen_US
dc.titleMonodromy And Henon Mappingsen_US
dc.typedissertation or thesisen_US

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