Equidistribution towards the Green current in complex dynamics
2011 (English)Doctoral thesis, monograph (Other academic)
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.
Trita-MAT. MA, ISSN 1401-2278 ; 11:04
IdentifiersURN: urn:nbn:se:kth:diva-34264ISBN: 978-91-7501-042-7 (print)OAI: oai:DiVA.org:kth-34264DiVA: diva2:420015
2011-06-13, Sal F3, Lindstedtsvagen 26. KTH, Stockholm, 13:00 (English)
Dujardin, Romain, Professor
Benedicks, Michael, Professor
QC 201105302011-05-302011-05-302012-09-26Bibliographically approved