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Equidistribution towards the Green current in complex dynamics
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.). (Dynamical Systems)
2011 (English)Doctoral thesis, monograph (Other academic)
Abstract [en]

Given a holomorphic self-map of complex projective space of de-gree larger than one, we prove that there exists a finite collection oftotally invariant algebraic sets with the following property: given anypositive 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.

Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology , 2011. , viii, 67 p.
Series
Trita-MAT. MA, ISSN 1401-2278 ; 11:04
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-34264ISBN: 978-91-7501-042-7OAI: oai:DiVA.org:kth-34264DiVA: diva2:420015
Public defence
2011-06-13, Sal F3, Lindstedtsvagen 26. KTH, Stockholm, 13:00 (English)
Opponent
Supervisors
Note

QC 20110530

Available from: 2011-05-30 Created: 2011-05-30 Last updated: 2012-09-26Bibliographically approved

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ThesisRodrigoParra.pdf(596 kB)398 downloads
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