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Currents and Equidistribution in Holomorphic Dynamics.
dc.contributor.authorParra Casta, Manuel Rodrigoen_US
dc.date.accessioned2012-01-26T19:59:44Z
dc.date.availableNO_RESTRICTIONen_US
dc.date.available2012-01-26T19:59:44Z
dc.date.issued2011en_US
dc.date.submitted2011en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/89619
dc.description.abstractGiven a holomorphic self-map of complex projective space of degree larger than one, we prove that there exists a finite collection of totally invariant algebraic sets with the following property: given any positive closed (1,1)-current of mass 1 with no mass on any element of this family, the sequence of normalized pull-backs of the current converges to the Green current. Under suitable geometric conditions on the collection of totally invariant algebraic sets, we prove a sharper equidistribution result.en_US
dc.language.isoen_USen_US
dc.subjectDynamical Systemsen_US
dc.subjectEquidistributiomen_US
dc.subjectErgodic Theoryen_US
dc.subjectGreen Currenten_US
dc.titleCurrents and Equidistribution in Holomorphic Dynamics.en_US
dc.typeThesisen_US
dc.description.thesisdegreenamePhDen_US
dc.description.thesisdegreedisciplineMathematicsen_US
dc.description.thesisdegreegrantorUniversity of Michigan, Horace H. Rackham School of Graduate Studiesen_US
dc.contributor.committeememberJonsson, Mattiasen_US
dc.contributor.committeememberBabiak, Katherine M.en_US
dc.contributor.committeememberFornaess, John E.en_US
dc.contributor.committeememberMustata, Mircea Immanuelen_US
dc.contributor.committeememberZieve, Michael E.en_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/89619/1/rparra_1.pdf
dc.owningcollnameDissertations and Theses (Ph.D. and Master's)


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