Sökning: "Romain Dujardin"

Hittade 1 avhandling innehållade orden Romain Dujardin.

1. 1. Equidistribution towards the Green current in complex dynamics

   Författare :Rodrigo Parra; Michael Benedicks; Romain Dujardin; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Algebra; geometry and mathematical analysis; Algebra; geometri och analys;

   Sammanfattning : 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. LÄS MER